Jayden bought a container filled with 5 quarts of ice cream at Chick fil A. How many cups of ice cream are in the container?​

Answers

Answer 1

Answer:

20 cups of Chick-Fla-A ice cream

Step-by-step explanation:

1 quart = 4 cups

5 quarts = 20 cups


Related Questions

All above -the line adjustments that do not have corresponding input lines on Schedule 1 ( Form 1040 are indicated as

A. Write -in adjustment

B. Write -in deductions

C. Miscellaneous adjustments

D. Miscellaneous deductions

Answers

The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

To know more about corresponding visit:-

https://brainly.com/question/12454508

#SPJ11

‼️Someone help please..
Find the missing term in each sequence

Someone help please.. Find the missing term in each sequence
Someone help please.. Find the missing term in each sequence

Answers

Answer:-170

Step-by-step explanation:as you can see it is going in a pattern from the negative ok thanks.

Dice have 6 sides, with values 1, 2, 3, 4, 5, and 6. which expression randomly rolls one dice, directly yielding one of those values?

Answers

(rand() % 6) + 1 is the expression randomly rolls one dice, directly yielding one of those values.

What is dice?

Small objects (polyhedrons) used as playing pieces for dice games and other gambling-related activities. The cube, the most popular type of die, has one to six tiny dots on each side (spots). The spots are positioned in the following traditional patterns: 1 and 6, 2 and 5, 3 and 4, so that spots on opposite sides always sum up to 7. The poker and crown and anchor dice, as well as many other types of dice with 4, 5, 7, 8, 10, 12, 16, and 20 sides, are examples of dice with different configurations of spots or other face designs. The majority of the time, dice are employed to generate a random outcome (usually a number or a mixture of numbers), and the mathematical probabilities depend on the physical characteristics and quantity of dice thrown.

To learn more about the, dice visit:

https://brainly.com/question/23637540

#SPJ4

6) If $525 is invested at an annual rate of 5% compounded continuously,
what is the amount in the account after 23 years?

Plz help?

Answers

Answer:

$1658.05

Step-by-step explanation:

use formula given above

6) If $525 is invested at an annual rate of 5% compounded continuously,what is the amount in the account

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. HW3 Midterm 13.3 59.811 21.9 87.539 9.7 53.728 25 96.283 5.4 39.174 13.2 66.092 20.9 89.729 18.5 78.985 20 86.2 15.4 73.274 25 93.25 9.7 52.257 6.4 43.984 20.2 79.762 21.8 84.258 23.1 92.911 23 87.82 11.4 45.034 14.9 71.869 18.4 76.704 15.1 60.431 15 65.15 16.8 77.208 Based on your results, If your HW3 grades increases by 1 point, your Midterm grade, on average, increases by approximately how much?

Answers

In order to answer this question, we need to calculate the correlation coefficient between the third homework score (x) and the midterm exam score (y) in the sample. The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables, and it ranges from -1 to +1.


Using a statistical software program, we can calculate the correlation coefficient between x and y in the sample to be 0.91, which indicates a strong positive correlation. This means that as the third homework score increases, the midterm exam score also tends to increase.

To determine how much the midterm exam score is likely to increase, on average, for a one-point increase in the third homework score, we can use the slope of the regression line. The regression line is a line that best fits the relationship between x and y in the sample.

Using the same statistical software program, we can calculate the slope of the regression line to be 3.69. This means that for every one-point increase in the third homework score, the predicted increase in the midterm exam score is approximately 3.69 points, on average.

Therefore, based on the results of this sample, we can conclude that if a student's third homework score increases by one point, their midterm exam score is likely to increase by approximately 3.69 points, on average.

However, it is important to note that this relationship may not hold for all students or in all contexts, and further research would be needed to confirm the generalizability of these results.

For more such questions on homework score

https://brainly.com/question/29064059

#SPJ8

awnser plz -14(-6)
ASAP

Answers

Answer:

84

Step-by-step explanation:

Answer:

positive 84

Step-by-step explanation:

when you multiply a negative by a negative it becomes a positive

What is the area of this figure?

What is the area of this figure?

Answers

Answer:

223.67

Step-by-step explanation:

HELPPPP MEEEE PLEASE!!!!​

HELPPPP MEEEE PLEASE!!!!

Answers

Answer:

Step-by-step explanation:

HELPPPP MEEEE PLEASE!!!!

Complete the ordered pair for the equation.
y=2x+5
(__,-3)

Answers

Answer:

x = -4

Step-by-step explanation:

Since we are given that y = -3, we substitute the y for -3

Now we have:

-3 = 2x + 5

Subtract 5 on both sides to leave 2x alone

-8 = 2x

Divide by 2 on both sides to isolate x

\(\frac{-8}{2}\) = x

-4 = x

Answer:

X-4

Step-by-step explanation:

that is what I got lol I tried on this one it is really easy you add and multiple

a large company surveys 100 employees by taking random samples of 101010 managers and 909090 non-managerial employees. what type of sample is this?

Answers

The sample is Stratified Random Sample

A large company surveys 100 employees by taking random samples of 101010 managers and 909090 non- managerial employees.

To find the what type of sample is this?

Now, According to the question:

"A stratified random sampling involves dividing the entire population into homogeneous groups called strata (plural for stratum). Random samples are then selected from each stratum. ... A random sample from each stratum is taken in a number proportional to the stratum's size when compared to the population. "

The managers group (101010) is one strata of sampling, and the other group of non-managerial employees (909090) is another strata. We're taking one sample from each group .

Hence, the sample is Stratified Random Sample

Learn more about Random samples at:

https://brainly.com/question/14823871

#SPJ4

A school ordered 3 large boxes of markers. After giving 15 markers to each of 3 teachers, there were 90 markers left in the box. Draw a diagram and write an equation to represent this situation.

Answers

A possible equation to represent the situation described is  x (total of markers)= 90 + (15 x 3) and the diagram is attached below.

What is an equation?

An equation can be defined as a mathematical expression that shows equality of two mathematical expressions. Due to this, equations include the symbol =.

What is a possible equation in this case?

A possible equation to represent this situation is:

x = 90 + (15 x 3)

In this equation:

X = Number of total markers

90 = Number of markers left after the first markers were given to the teachers

15 = Number of markers given to the teachers

3 = Number of teachers

In this way, we know that the total of markers is equivalent to ninety markers plus forty-five markers as fifteen markerts were given to three different teachers.

Learn more about equation in: https://brainly.com/question/10413253

#SPJ1

A school ordered 3 large boxes of markers. After giving 15 markers to each of 3 teachers, there were

Please help.. what am I missing on this?

A. 78
B. 12.75
C. 136.5
D. 12

Please help.. what am I missing on this? A. 78B. 12.75C. 136.5D. 12

Answers

Answer:

  A. 78

Step-by-step explanation:

You want the measure of one base angle of an isosceles triangle when it is given as (6x+6)° while angle K is given as 2x°.

Angle relations

You don't need to solve any equations to determine the correct answer choice. You just need to understand the relationship between angles in an isosceles triangle.

The two base angles in an isosceles triangle are congruent, so neither can be more than 90°. (Eliminates choice C.)

The base angle at (6x+6) is more than 3 times angle K at (2x), so the base angle cannot be as little as 12.75. (Eliminates choices B and D.)

The only viable answer choice is A. 78°.

Solution

The sum of angles in any triangle is 180°. The two base angles in an isosceles triangle are the same measure, so we have ...

  (6x +6)° +(6x +6)° +2x° = 180°

  14x +12 = 180 . . . . . . . . . . . divide by °, collect terms

  14x = 168 . . . . . . . . . . subtract 12

  x = 12 . . . . . . . . . . divide by 14

  ∠D = (6x +6)° = (6·12 +6)° = 78°

__

Additional comments

We are referring to the angle marked 2x° as "angle K" because Brainly doesn't like the word a.pex to show up in an answer.

We know triangle DKT is isosceles because the sides are marked with a single hash mark. The congruent base angles are opposite the congruent sides.

An altitude from K to segment DT would divide the triangle into two congruent right triangles, each with its half of angle K being x°. Then angles K/2 and T are complementary to that, so you could write ...

  6x +6 +x = 90   ⇒   7x = 84   ⇒   x = 12   ⇒   ∠D = 90° -12° = 78°

Once again, recognition that 6x+6 is somewhat greater than x means that angle D must be somewhat more than 45°. (The larger of two things is always greater than half their sum.)

you got this five numbers (1, 2, 3, 4). a) if you add a constant number to each, then the mean, the median and the mode changes. b if you add a constant number to each, then the range and the variance remain the same. c) if you multiply each number by a constant, then the mean, the median, the mode, the range change. the standard deviation remain the same. d) if you multiply the mean and the standard deviation by a constant, then both will change by the constant. e) b and c.

Answers

The required property that will change with the addition of values in the set will change the mean, median, and mode, While multiplication changes the standard deviation and also the mean by constant.

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

Each of the statistic properties will change by adding the number to each number in the set, except properties such as standard deviation and variance. While multiplying the set element with a number each and every property of the statistic corresponding to the set will change.

Thus, Options A, B, and D are correct.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ1


two similar triangles, the perimeter of the first is 74cm. and the side lengths of the other are 4.5cm, 6cm and 8cm find the length of the longest side of the first triangle​

Answers

\(\huge\mathfrak{\underline{Answer:}}\)

The length of longest side of first Trianlge :

ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ\(\large\bf{32\:cm}\)

__________________________________________

\(\large\bf{\underline{given:}}\)

Two similar trianglesPerimeter of first Trianlge is 74 cmSide length of second triangle are 4.5cm , 6cm and 8cm

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){$\bf A$}\put(0.5,-0.3){$\bf C$}\put(5.2,-0.3){$\bf B$}\end{picture}\)

\(\setlength{\unitlength}{0.75 cm}\begin{picture}(0,1)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){$\bf P$}\put(0.5,-0.3){$\bf R$}\put(5.2,-0.3){$\bf Q$}\end{picture}\)

__________________________________________

\(\large\bf{\underline{To \:find :}}\)

The length of longest side of first Trianlge

__________________________________________

\(\large\bf{\underline{Perimeter\:of\: second\: triangle:}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{=sum\:of\:all\:sides}\)

‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{=4.5+6+8}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{=18.5}\)

The ratio between the perimeter of two triangles :

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{=\frac{perimeter\:of\:1st\: triangle}{perimeter\:of\:2nd\: triangle}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{=\frac{74}{18.5}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{=4:1}\)

The two triangles are similar , therefore the ratio of their sides will also be similar , i.e 4:1

Let the sides of first Trianlge be x , y and z

\(\large\bf{\underline{Therefore:}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹\frac{x}{4.5}=\frac{4}{1}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹\frac{y}{6}=\frac{4}{1}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹\frac{z}{8}=\frac{4}{1}}\)

\(\large\bf{\underline{Hence:}}\)

Length of first side :

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹\frac{x}{4.5}=\frac{4}{1}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹x=4\times 4.5}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹x=18}\)

Length of second side :

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹\frac{y}{6}=\frac{4}{1}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹y=4\times 6}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹y=24}\)

Length of third side :

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹\frac{z}{8}=\frac{4}{1}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹z=4\times 8}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟹z=32}\)

__________________________________________

\(\large\mathfrak{Length\:of\: largest\:side:}\)

\(\huge\bf{=32cm}\)

A manufacturer estimates profit to be -0.001x2+8x-7000 dollars per case when the level of production is x cases. What value of x maximizes the manufacturer's profit? a. 3000 b. 4000 C. 5500 d. 4575 e. 3750

Answers

We need to find the vertex of the quadratic equation -0.001x² + 8x - 7000. The x-coordinate of the vertex can be found using the formula x = -b/2a, where a = -0.001 and b = 8. Plugging in the values, we get x = -8/(2*(-0.001)) = 4000. the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases. Option (b) is the correct answer. It's worth noting that we can also verify that this is a maximum by checking the sign of the leading coefficient (-0.001) - since it is negative, the quadratic opens downwards, meaning that the vertex represents a maximum point.
The manufacturer's profit is given by the equation P(x) = -0.001x^2 + 8x - 7000. To find the value of x that maximizes the profit, we need to determine the vertex of the parabola. The x-coordinate of the vertex is found using the formula x = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively.

In this case, a = -0.001 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2 * -0.001) = 4000

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

To know more about Profit visit :

https://brainly.com/question/21297845

#SPJ11

A rectangle is inscribed in a parabola y^2 = 16x with the side of the rectangle along the latus rectum of the parabola. If the area of the rectangle is maximized, compute its perimeter.
a. 24.63
b. 13.69
c. 14.57
d. 20.69

Answers

The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

To know more about Area, visit

https://brainly.com/question/25292087

#SPJ11

Dan bought 20 bunches of seedless green grapes for $48.00 . How many bunches can buy if she has $12.00?

Dan bought 20 bunches of seedless green grapes for $48.00 . How many bunches can buy if she has $12.00?

Answers

Answer:

Step-by-step explanation:

$12(20b/$48)=5b

A group of Brigham Young University-Idaho students (Matthew Herring, Nathan Spencer, Mark Walker, and Mark Steiner) collected data on the speed of vehicles traveling through a construction zone on a state highway, where the posted (construction) speed limit was 25

mph. The recorded speeds for 14 randomly selected vehicles are given below: 20, 24, 27, 28, 29, 30, 32, 33, 34, 36, 38, 39, 40, 40

a) Create the frequency table to represent the distribution of the data using a class width of 5

mph

Answers

The frequency table to represent the distribution of the data using a class width of 5 is given below:

       Speed          Frequency

1.     20 - 24               2

2.    25 -  29              3

3.     30 -  34             3

4.     35 -  39            3

5.     40 -  44            2

What is a frequency distribution table?

Frequency tables or charts are used to represent frequency distributions. Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.

Learn more about frequency distribution tables at: https://brainly.com/question/17114842

#SPJ1

Please help me with this!

Please help me with this!

Answers

Go faster 50 for insurance And 40 per hour

Blaster Jet Ski 70 for insurance and 30 per hour

50 + 40x = 70 + 30x

x is the hours

10 x = 20

x = 2

after 2 hours both will charge the same amount of money .

Please help me with this!

The quantity 1.0 mg/cm2 is the same as 1.0 x ________ kg/m2.
A. 10-4
B. 102
C. 106
D. 10-2
E. 104

Answers

The quantity 1.0 mg/cm2 is the same as 1.0 x 10-4 kg/m2.

To convert from milligrams per square centimeter (mg/cm2) to kilograms per square meter (kg/m2), we need to use conversion factors to adjust the units. The given options represent different powers of 10 that can be used as conversion factors.

We know that 1 kilogram (kg) is equal to 1,000,000 milligrams (mg), and 1 meter (m) is equal to 100 centimeters (cm). Therefore, we can express the conversion factors as follows:

1 kg = 1,000,000 mg (1)

1 m2 = 10,000 cm2 (2)

To convert from mg/cm2 to kg/m2, we can combine these conversion factors:

1 mg/cm2 = (1 mg / 1 cm2) x (1 kg / 1,000,000 mg) x (10,000 cm2 / 1 m2)

Simplifying the expression, we have:

1 mg/cm2 = (1 / 1,000,000) kg/m2 = 1 x 10-6 kg/m2

Therefore, the quantity 1.0 mg/cm2 is the same as 1.0 x 10-6 kg/m2.

Among the given options, the value that matches the conversion is option A: 10-4

Learn more about Conversion Factors here: brainly.com/question/30567263

#SPJ11

For each question on a test you get right you earn 1 point. For each question you get wrong you lose 2 points. Mark got 7 questions incorrect. How many points did he loose? ​

Answers

Answer:

mark score is minus 14

7multiply minus 2

Answer:

14

Step-by-step explanation:

how too convert kilometers to feet

Answers

We can convert Kilometer to feet by using the relation 1Km = 3280.83 ft.

A Kilometer is used as a standard unit of measuring distance between any two bodies.

As per the standard unit conversion rates 1 km is equal to 3280.83 ft.

So if we want to convert any quantity in km to feet. We can follow the above mentioned unit conversion rate in order to do so.

Let us say for example, we have to km and we have to converted into feet.

2 kilometer = 2 × 3280.83 ft

2 kilometer = 6561.66 ft.

So, we can convert any kind of distance given in kilometer to feet by using the same method as above.

To know more about unit conversion, visit,

https://brainly.com/question/28308386

#SPJ4

Help, I have a time limit for this

Help, I have a time limit for this

Answers

Answer:

I believe that it is the first one.

Step-by-step explanation:

(A) Prove that the opposite sides of the rectangle are congruent.
Use Distance Formula: v(x2 - x1)^2 + (y2 - y1)^2

(B) Prove the diagonals of your rectangle are congruent.

(C) Using the slopes for each side, prove there are 4 right angles on the rectangle.

**Please Show All Work**

(A) Prove that the opposite sides of the rectangle are congruent.Use Distance Formula: v(x2 - x1)^2 +

Answers

A. Using the distance formula, we can state that the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are equal, AC = BD = √50 units.

C. Based on the slopes of each side, there are 4 right angles on the rectangle.

What is the Distance Formula?

The distance formula is used to find the distance that exist between tow points that are on a coordinate plane. The formula is: d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

What is the Slope of a Line?

Slope = change in y / change in x.

A. The coordinates of each of the vertices of the rectangle are:

A(1, 2)

B(7, 4)

C(8, 1)

D(2, -1)

Use the distance formula to find AB, CD, BC, and AD.

AB = √[(7−1)² + (4−2)²]

AB = √40

CD = √[(2−8)² + (−1−1)²]

CD = √40

BC = √[(8−7)² + (1−4)²]

BC = √10

AD = √[(2−1)² + (−1−2)²]

AD = √10

Therefore, the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are AC and BD. Find their lengths using the distance formula:

AC = √(8−1)² + (1−2)²]

AC = √50 units

BD = √[(2−7)² + (−1−4)²]

BD = √50 units

Therefore, the diagonals are equal, AC = BD = √50 units.

C. Find the slope of AB, CD, BC, and AD:

Slope of AB = change in y / change in x = rise/run = 2/6 = 1/3

Slope of CD = 2/6 = 1/3

Slope of BC = -3/1 = -3

Slope of AD = -3/1 = -3

-3 is the negative reciprocal to 1/3, this means that, if the two lines that meet at a corner have these two slope, then they will form a right angle because they are perpendicular to each other.

Therefore, there are 4 right angles on the rectangle.

Learn more about the distance formula on:

https://brainly.com/question/661229

#SPJ1

(A) Prove that the opposite sides of the rectangle are congruent.Use Distance Formula: v(x2 - x1)^2 +

5.) A woman put $580 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for the vear in dollars and cents? (Round to the nearest cent) 6.) Pamela bought an electric drill at 85% of the regular price. She paid $32.89 for the drill. What was the regular price? (Round to the nearest cent)

Answers

The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

To find the interest we can use this following formula:

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

To find the regular price of the electric drill, we can use this following formula:

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

To learn more about interest, click here:

https://brainly.com/question/15089941

#SPJ4

Geometry hellpppppppppppp

Geometry hellpppppppppppp

Answers

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

as part of video game, the point (5,2) is rotated counterclockwise about the origin through an angle of 5 degrees. find the new coordinates of this point

Answers

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

KLnow more about coordinates here;

https://brainly.com/question/32836021

#SPJ11

Find the tangential and normal components of the acceleration vector.

Answers

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.

In mathematical terms:

at = dV/dt

an = (V^2) / R

where:

V is the velocity vector

t is time

R is the radius of curvature of the path.

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

learn more about tangential and normal acceleration here:
https://brainly.com/question/30517523

#SPJ11

In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results.

6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5

Construct a dotplot with these data and then identify the dotplot you created.

Answers

Answer:

The average, mode, and median of the results are 5, meaning that half of the time the quarter will land on heads.

Step-by-step explanation:

In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears.

The required dot plot shows the result of the experiment performed by flipping a quarter 21 times.


In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results. 6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The dot plot has been made, for the number of outcomes and their frequencies. The dot plot gives the info about the mean mode and median.

Thus, the required a dot plot showing the result of the experiment performed by flipping a quarter 21 times.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears.

The computer lab has 37 wireless touchscreen devices
and 13 traditional devices. About what percent of the
lab are wireless devices?
Pleaseeee help me
<3

Answers

Answer:

Step-by-step explanation:

total devices = 37+13 = 50

37/50 = 74/100 = 74%

Other Questions
Considering the role of enzymes in metabolic reactions (see Concept 8.4), explain why vitamins are required in very small amounts in the diet. a construction worker pulls a five-meter plank up the side of a building under construction by means of a rope tied to one end of the plank (see figure). assume the opposite end of the plank follows a path perpendicular to the wall of the building and the worker pulls the rope at a rate of 0.20 meter per second. how fast is the end of the plank sliding along the ground when it is 2.1 meters from the wall of the building? (round your answer to two decimal places.) a student cycles for x hours at 12km/h and y hours at 16km/h.altogether, tge student cycles 66km in 5 hours. find x and y Use the product rule to find the derivative of the given function y = (2x + 5)(5x -2)y'= ... A math class has a total of 33 students. The number of males is 15 more than the number of females. How many males and how many females are in the class? The established fur trade betweeen the French and the Native Americans resulted inthe establishments of gold mines in Eastern CanadaO more Native Americans siding with the French in the French and Indian Warmore Native Americans siding with the British in the French and Indian Warthe Native Americans become slaves to the French fur traders An individual with savant syndrome is most likely to have:__________ What are the two essentials for completing an initial mortgage? What is the Molality of a solution prepared by dissolving 59.2 g of KMnO4 in 402.8g of water?answer and units please Smaller dna fragments migrate _____ and further over a given period of time than larger fragments. Diane is filling a candle order for a wedding. She needs 6 large arrangements and 13 small arrangements .The large arrangements each contain 25 candles. The small arrangements each contain 12 candles. How many candles does diane need in all? The following transactions apply to Walnut Enterprises for 2016, its first year of operations:1. Received $42,000 cash from the issue of a short-term note with a 4% interest rate and a one-year maturity. The note was made on April 1, 2016.2. Received $117,000 cash plus applicable sales tax from performing services. The services are subject to a sales tax rate of 5%.3.Paid $71,500 cash for other operating expenses during the year.4. Paid the sales tax due on $97,000 of the service revenue for the year. Sales tax on the balance of the revenue is not due until 2017.5.Recognized the accrued interest at December 31, 2016.The following transactions apply to Walnut Enterprises for 2017:1.Paid the balance of the sales tax due for 2016.2. Received $142,000 cash plus applicable sales tax from performing services. The services are subject to a sales tax rate of 5%.3.Repaid the principal of the note and applicable interest on April 1, 2017.4.Paid $84,500 of other operating expenses during the year.5. Paid the sales tax due on $117,000 of the service revenue. The sales tax on the balance of the revenue is not due until 2018.Prepare a General Journal for Walnut Enterprises What is significant about Jacks story about being discovered in an ordinary handbag lost in the cloakroom of a railway station?Group of answer choicesHis story symbolizes both his ambiguous social status during the play, and the possibility of his social mobilityHis story induces Gwendolen to fall in love with him and betray her parents so she can marry JackHis story demonstrates that Jack is secretly living a double life and is not really who he says he isHis story allows the reader to sympathize with his situation What mass of nitrogen monoxide is formed in the reaction of 869kg ammonia and 2480kg oxygen gas? (Please show work) Somebody can help me 1, 2, and 3 please A federal crime committed on the island of guam would most likely be tried in which court?. How many different student body governments are possible if there are 6 seniors, 5 juniors, and 3 sophomores running for the student body offices of senior class president, junior class president, and sophomore class president the parents of a child with cystic fibrosis express concern about how the disease was transmitted to their child. what information should the nurse give to the clients? Write in exponential form.aaaabbbbbb Marlin obtains a 20/6 balloon mortgage to finance $305,500 at 5.75%. How much principal and interest will he have already paid when hisballoon payment is due?$188,267.86$152,285.77$154,430.64$249,256.48