Find the measure of the indicated angle in each triangle.The choices areA=136B=44C=180D=90

Answer:

The answer is $1.50/bottle.

Step-by-step explanation:

To get the unit price, you need to divide the total by the amount of bottles.

\(9.00/6=1.50\)

The simplified fractional equivalent of 0.25 is 1/4 .

The complete question is

What is the simplified fractional equivalent of the terminating decimal 0.25?

When a number is solved to a state where it cannot be further simplified , but can be written in a different format , the two numbers are then called the simplified equivalent of each other.

The given number is decimal 0.25

So this number is in its simplified state but can also be written as

0.25 * 1

= 0.25 * 100 /100

= 25/100

= 1/4

Therefore 1/4 is the simplified fractional equivalent of 0.25.

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To construct a stem-and-leaf display, we need to divide each data point by a certain value (the stem), and then use the remainder as the leaf. For example, if we choose a stem value of 1, then the number 5.7 becomes a stem of 5 and a leaf of 7, and the number 8.2 becomes a stem of 8 and a leaf of 2.

Here is the stem-and-leaf display for the given data, using a stem value of 1:

Stems:    Leaves:

5              7

6              3 5 8

7              0 2 3 6 7 8 0

8              1 2 7 9

9              0 7

10             9

11              4 6 8

From the stem-and-leaf display, we can see that the data appears to be reasonably symmetric about a representative value. The shape of the data is approximately bell-shaped, with a peak around the stem value of 7.

There do not appear to be any outlying strength values in the data. All the values are within a reasonable range, with no values that are significantly larger or smaller than the others.

To calculate the proportion of strength observations that exceed 10 MPa, we can count the number of values in the stem value of 11 (which represents values between 10 and 11 MPa) and divide it by the total number of observations. There are 3 values in the stem value of 11, and there are a total of 30 observations, so the proportion of observations that exceed 10 MPa is 3/30 = 0.10, or 10%.

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Complete Question:

Flexural Strength Is A Measure Of A Material's Ability To Resist Failure In Bending. The Accompanying Data Are On Flexural Strength Of Concrete (In MegaPascal, MPa, Where 1 Pa (Pascal) = 1.45 Cross 10❝4 Psi):

Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 cross 10❝4 psi):

5.7 7.2 7.3 6.3 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0

8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.4 11.8 10.9

(a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)

Stems Leaves

5

6

7

8

9

10

11

What appears to be a representative strength value?

__ MPa.

Do the observations appear to be highly concentrated about the representative value or rather spread out?

1) highly concentrated around the representative value

2) spread out with a large range

B' would now have the following updated coordinates: (-6, 6)

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

If ABCD is dilated by a factor of 3

Then To enlarge this by a factor of three...

-2 * 3 = -6

2 * 3 = 6

B' would now have the following updated coordinates:

(-6, 6)

There are a few things to be aware of:

- A "scale factor" is three.

Hence B' would now have the following updated coordinates: (-6, 6)

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Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer: The Answer is 15

Step-by-step explanation:

Answer:

\(5.30100005301 * 10^{15}\)

The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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There are 8 to take Lara and Hayden to volunteer the same number.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Lara already volunteered 50 hours and will volunteer 5 hours more each week.

And, Hayden already volunteered to 10 hours and will volunteer 10 hours each week .

Now, For Lara;

⇒ 50 + 5x

And, For Hayden;

⇒ 10 + 10x

So, For same number of volunteer is,

⇒ 50 + 5x = 10 + 10x

⇒ 50 - 10 = 10x - 5x

⇒ 40 = 5x

⇒ x = 40/5

⇒ x = 8

Thus, There are 8 to take Lara and Hayden to volunteer the same number.

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The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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the answer would be a I'm my mind

By the Central Limit Theorem, if a sampling distribution with a simple random sample has a number of samples greater than or equal to 30 or the population is normally distributed then this sampling distribution of the sample mean is approximately normal.

If the population mean is μ and standard deviation σ and number of samples n, then the mean and standard deviation of sampling distribution x are given below:

Here =3.5 and =1.1

1) a)This is a sampling distribution with n=19.

The mean of the sampling distribution is the same as the population mean.

So the answer is 3.5

b) Here standard deviation is

0.25

So the answer is 0.25

2) For larger sample size mean will be always the same as the population mean. So it will not change.

When the sample size increase, the value of n get increased. So the standard deviation gets decreases(n is the value at the denominator).

3)The equation to find z score for x

\(\frac{x - mean}{standard deviation}\)

a) Here we need to use individual distribution. So z score of 5.3 is

5.3 – 3.5/0.2523

So answer 1.64

b) Here we need to find a z score for 5.3 for 19 sample.

So

5.3 – 3.5/0.2523573 = 7.13

SO the answer is 7.13

c) Larger z score means lower probability. So here more probability is to collect one tomato which has a lower z score.

SO the answer is "one tomato with diameter 5.3 cm"

d) z score for sample average 3.8 is

3.8 – 3.5/ 0.2523573 = 1.19

So the answer is 1.19

e) Now z score is lower for the sample average 3.8 than single tomato.

So the answer is "group of 19 tomatoes with an average diameter of 3.8 cm"

4) By empirical rule approximately middle 68% of data are within one standard deviation of the mean. That is between mean-SD to mean +SD

a) Here 68% is between 3.5-1.1 = 2.4 and 3.5+1.1= 4.6

So the answer is between 2.4 and 4.6

b) Here, we consider sample. So we need to use standard deviation =0.25

So 68% is between 3.5-0.25 = 3.25 and 3.5+0.25=3.75

So the answer is between 3.25 and 3.75

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Answer:

\(\displaystyle m = \frac{12}{7}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)

Step-by-step explanation:

Step 1: Define

Identify.

Point (-3, -6)

Point (4, 6)

Step 2: Find Slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

12/7

Step-by-step explanation:

slope= Y2-Y1

X2-X1

X1=-3

X2=4

Y1=-6

Y2=6

=

6--6

4--3

=12

7

Answer:

39999500 pennies

Step-by-step explanation:

The different keypad patterns that are possible if the first three digits must be even and the last digit cannot be zero is 17500 ways.

It should be noted that the security keypad uses five digits (0 to 9) in a specific order. On this case, the numbers from 0 to 9 make up 10 numbers.

In this case, there are 5 even numbers.

The total number of possible codes will be:

= 5 × 5 × 10 × 10 × 7

= 17500

There are 17500 ways.

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It can be said that the percentage is 6 of the squares have shops.

What are Percentage?

A percentage is a fraction of a whole expressed as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.

We know that there are 100 blocks/squares and there are 6% of the community with shops so

All we have to calculate is 6% of 100

6/100 * 100 = 6

So, it can be said that 6 of the squares have shops.

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Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.

To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.

Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.

However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.

Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.

Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.

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Answer:

\(\mathbf{r^{\to} (t) = ti^{\to} + 5t^2^{\to} j+(6t^2 + 25t^4) k ^{\to}}\)

Step-by-step explanation:

Given that:

The paraboloid surface z = 6x² + y² and the parabolic cylinder y = 5x²

Let assume that:

x = t

then from y = 5x², we have:

y = 5t²

Now replace y = 5t² and x = t into z = 6x² + y²

z = 6t² + (5t²)²

z = 6t² + 25t⁴

Hence, the curve of intersection is illustrated by the set of equations:

x = t, y = 5t², and z = 6t² + 25t⁴

As a vector equation:

\(\mathbf{r^{\to} (t) = ti^{\to} + 5t^2^{\to} j+(6t^2 + 25t^4) k ^{\to}}\)

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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Answer:

Length = 3

Width = 7

Step-by-step explanation:

The perimeter is 20 feet

The area is 21 feet

Let x represent the length

Let y represent the width

20 = 2(x+y)

x+y= 20/2

x+y = 10.........equation 1

x × y= 21......equation 2

From equation 1

x= 10-y

Substitute 10-y for x in equation 2

(10-y)y= 21

10y - y^2 = 21

y^2 -10y + 21= 0

After factorization the result will be

(x-3)(y-7)

x-3= 0

x= 0+3

x= 3

y-7= 0

y= 0+7

y= 7

Hence the length is 3 and the width is 7

The distinction between them is that an integer is a negative number without a decimal point.

All whole numbers and negative numbers are considered integers. This means if we include negative numbers together with whole numbers, we form a set of integers.

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers. In this article, let's learn more about integers, their definition, and their characteristics.

According to our question-

The group of integers that are neither whole nor a natural number are:

As previously noted, the third set of integers lacks a decimal point;

However, the difference between them is that; a negative number without a decimal point is referred to as an integer

From the provided set: only fit into the description of an integer, because

It does not have a decimal point

And that is unfavorable.

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9514 1404 393

Answer:

  $935.11

Step-by-step explanation:

The amount is given by the formula ...

  A = P(1 +r/n)^(nt) . . . P invested at rate r for t years compounded n per year

  A = $850(1 +0.024/2)^(2·4) = $935.11

The amount accumulated will be $935.11 after 4 years.

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Therefore, there is a 68.75% chance that Reese will win at least two of his next four games, assuming that each game is independent and has a 50-50 chance of winning.

Assuming that each game is independent and has a probability of winning of 0.5 (since there are two cups and Reese has a 50-50 chance of choosing the correct one), we can model Reese's wins in four games as a binomial distribution with n=4 and p=0.5.

The probability of Reese winning at least two games can be calculated as the sum of the probabilities of winning two, three, or four games. We can use the binomial probability formula or a binomial probability calculator to find these probabilities:

\(P(X=2) = 6/16 = 0.375\)

\(P(X=3) = 4/16 = 0.25\)

\(P(X=4) = 1/16 = 0.0625\)

So, the probability of Reese winning at least two of his next four games is:

\(P(X\geq 2) = P(X=2) + P(X=3) + P(X=4) = 0.375 + 0.25 + 0.0625 = 0.6875\)

Therefore, there is a 68.75% chance that Reese will win at least two of his next four games, assuming that each game is independent and has a 50-50 chance of winning.

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Answer:

1742 inches squared

Step-by-step explanation:

Surface Area = 2×(20×21 + 20×11 + 21×11) = 1742 inches2

The formula for the centripetal force, as a function of the radius, is given as follows:

F = 896/r.

The equation that defines a direct proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

For an inverse proportional relationship, the equation is given as follows:

y = k/x.

The centripetal force varies inversely with the radius, hence the equation is given as follows:

F = k/r.

When F = 56, r = 16, hence the constant k is obtained as follows:

56 = k/16

k = 56 x 16

k = 896.

Hence the equation is given as follows:

F = 896/r.

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Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).

Answer:

.....

..

...

..

Step-by-step explanation:

I cant see the grid

Answer:

x = 5

Step-by-step explanation:

\(\frac{4.5}{7.5}\) = \(\frac{3}{x}\)

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

divide

x = 5