Answer:
6 and 2/3
Step-by-step explanation:
5*4=20
20*1/3=20/3
20/3, which can also be written as 6 and 2/3.
Given right triangle ABC, where side "c" is the
hypotenuse, angle B measures 44 degrees, and side
c measures 17 m, find the length of side b.
Round your answer to the nearest hundredth of
meter
Answer:
b = 11.81 m
Step-by-step explanation:
b = c . sinB = 17sin44 = 11.81
which pair of functions are inverses of each other?
Answer:
C
Step-by-step explanation:
You can let y for the inverse
Like
X =5y - 11
Then you will get
X+11=5y
Then x+11/5=y
When can we say that the two triangles are congruent?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
What is congruent?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
Here,
we have to prove when can we say that the two triangles are congruent.
SSS, SAS, ASA, AAS, and HL.
These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.
Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
To learn more about the congruence from the given link
https://brainly.com/question/2102943
#SPJ4
Which is the solution to the system of equations?
y = 1/8x −1
−5x + 4y = −13
A. (0,−1)
B. (8,0)
C. (1,−7/8)
D. (2,−3/4)
The solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.
We are given:
y = 1/8 x − 1 ..............equation i.
− 5x + 4y = − 13 ..............equation ii.
We will use the substitution method to solve the given equation.
substitute the value of y from equation i in equation ii, and we will get;
− 5x + 4(1/8 x − 1) = − 13
− 5x + 1/2 x − 4 = − 13
(-10 + 1) / 2 x = -13 + 4
-9/2 x = -9
x = -9 * 2 / -9
x = 2
Put the value of x in equation i, we will get;
y = 1/8 *2 − 1
y = 1/4 - 1
y = 1 - 4 / 4
y = -3 / 4
So, the value of x = 2 and the value of y = -3 / 4.
Thus, the solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.
To learn more about substitution method visit:
https://brainly.com/question/14619835
#SPJ1
In the accompanying diagram, lines AB and CD
intersect at point E. If m
m
The required value of x is 40 which is determined by the substitute that equals the vertical angles.
What are the vertical angles?When two lines intersect at a location, vertical angles are generated. They are always equal to each other.
As per the given accompanying diagram, lines AB and CD intersect at point E.
Since ∠AED and ∠BEC are vertical angles then they are congruent, thus
⇒ ∠AED = ∠BEC
⇒ (x + 10) = 50
Subtract 10 from both sides of the above equation,
⇒ x + 10 - 10 = 50 - 10
⇒ x = 40
Thus, the required value of x is 40.
Learn more about the Angles here:
brainly.com/question/2125016
#SPJ2
What is the cos A?Will give 15 points.
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
Pls help me (its in the png below)
Answer:
-243v^5
Step-by-step explanation:
just apply rules of exponents and give the power to -3 and v separately work out their power and remultiply
Step-by-step explanation:
= -3^5 * v^5 = - 243 v^5
Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
What principle will amount to $35000 if invested at 6.5% compounded quarterly for 5 year?
Answer:
bye
Step-by-step explanation:
A cone with a radius of 4 inches and a slant height of 10 inches is shown.
What is the surface area of the cone, in square inches?
62.8
125.7
150.8
O 175.9
4 in.
10 in.
Answer:
167.6190 approximately 167.62 inches
Step-by-step explanation:
formula for surface area of a cone is 1/3πr×r×slant height. How this helps.
There is a bag with 50 popsicles inside. 5 are red, 15 are orange, 12 are blue, 8 are yellow and 10 are purple. If you were to grab one popsicle from the bag, what is the probability that it is purple or yellow? Enter your answer in simplest form. [? P(purple or yellow) = Enter / it a fraction
There is a bag with 50 popsicles inside
Total number of Popsicles = 50
Number of possible outcomes = 50
5 are red, 15 are orange, 12 are blue, 8 are yellow and 10 are purple
Number of red popsicles = 5
Number of Orange popsicles = 15
Number of Blue popsicles = 12
Number of Yellow popsicles = 8
Number of Purple popsicles = 10
The probability that it is purple:
Number of Purple popsicles = 10
Number of favourable Outcomes = 10
\(\begin{gathered} \text{ Probability of purple popsicles=}\frac{Number\text{ of favourable Outcomes}}{Numbe\text{r of Possible Outcomes}} \\ \text{Probability of purple popsicles=}\frac{10}{50} \\ \text{Probability of purple popsicles=}\frac{1}{5} \\ \text{Probability of purple popsicles=}0.2 \end{gathered}\)Probability of purple popsicles is 0.2
The probability that it is yellow :
Number of yellow popsicles = 8
Number of favourable Outcomes = 8
\(\begin{gathered} \text{ Probability of yellow popsicles=}\frac{Number\text{ of favourable Outcomes}}{Numbe\text{r of Possible Outcomes}} \\ \text{Probability of yellow popsicles=}\frac{8}{50} \\ \text{Probability of yellow popsicles=}\frac{4}{25} \\ \text{Probability of yellow popsicles=}0.16 \end{gathered}\)Probability of yellow popsicles is 0.16
The probability that it is purple or yellow is the sum of Probability of yellow popsicles and probability of purple popsicle
The probability that it is purple or yellow = 0.2 + 0.16
The probability that it is purple or yellow = 0.36
\(\begin{gathered} 0.36=\frac{36}{100} \\ 0.36=\frac{9}{25} \end{gathered}\)The probability that it is purple or yellow = 9/25
Answer : The probability that it is purple or yellow is 9/25
What is the square root of 23
Answer:
No real solution
Step-by-step explanation:
The simplest form is √23
Answer:
4.79583152331
Step-by-step explanation:
.................
...
store A charges 12.50 for a custom shirt with 0.40 per each custom character store b charges 14.75 for the same shirt but charges 0.25 per each custom characyer would make the cost from both stores the same
Answer:
15 shirts
Step-by-step explanation:
Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same
A: 12.5 + 0.40x
B: 14.75 + 0.25x
12.5 + 0.40x = 14.75 + 0.25x
subtract 12.5 from both sides:
12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5
0.40x = 2.25 + 0.25x
subtract 0.25x from both sides:
0.40x - 0.25x = 2.25 + 0.25x - 0.25x
0.15x = 2.25
divide both sides by 0.15:
0.15x/0.15 = 2.25/0.15
x = 15
(v +11)2
remove the parentheses
HELPPP
While reviewing the previous day’s arrest report, a police sergeant notices that five suspects were arrested, all of whom had either one or two previous arrests. Including yesterday’s arrests, there were 12 total arrests among them. How many suspects had less than two prior arrests?
The number of suspects had less than two prior arrests are 3.
Given that, While reviewing the previous day’s arrest report.
Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.
Here, x+y=5 -----(i)
2x+3y=12 -----(ii)
From equation (i), x=5-y in equation (ii), we get
2(5-y)+3y=12
10-2y+3y=12
10+y=12
y=2
Substitute y=2 in equation (i), we get
x+2=5
x=3
Therefore, the number of suspects had less than two prior arrests are 3.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ1
A student measures the mass of a sample is 2.7 grams. What is the percent error, given that the correct mass is 2.58 grams? Round to the nearest hundredth of a percent.
Answer:
the percent error in the student's measurement is 4.65%.
Step-by-step explanation:
The percent error can be calculated using the formula:
| (measured value - actual value) / actual value | * 100%
In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:
| (2.7 - 2.58) / 2.58 | * 100% = 4.65%
Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.
Therefore, the percent error in the student's measurement is 4.65%.
I am stumped >:( ahhhhhhh
Answer:
\(\frac{1}{32} yards^{3}\)
Step-by-step explanation:
\(V=w*h*l\)
↓
\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)
=
\(\frac{1}{32} yards^{3}\\\)
Hope this helps!
Please help fast!!!!!!!
Answer: 156.38 m
Step-by-step explanation:
Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)
a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
A quadrilateral has no pairs of parallel sides, what two shapes could it be?
Answer:
Kite
Step-by-step explanation:
Def of kite has no parallel sides
Answer:
Kite and TrapeziumStep-by-step explanation:
Each of them do not have any parallel lines or sides
For equal intervals, _____ functions have equal factors.
Answers:
Cubic
Exponential
Linear
Quadratic
Answer:
exponential. not linear functions because they change by equal differences not intervals.
(6x^2+10x-7) + (-x^2-8x)
For the given expression, the addition of coefficients is \(5x^2 + 2x - 7\).
What are coefficients?In algebra, a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. In other words, it is the number that is being multiplied by the variable.
What is addition?Addition is a basic mathematical operation that combines two or more numbers or quantities to produce a sum. It is denoted by the plus sign (+). When two or more numbers are added, the result is called the sum or total.
According to given information:First, we need to combine like terms by adding the coefficients of terms with the same variable(s) raised to the same power.
\((6x^2 + 10x - 7) + (-x^2 - 8x)\)
\(= 6x^2 + (-x^2) + 10x + (-8x) - 7\) (grouping like terms together)
\(= (6x^2 - x^2) + (10x - 8x) - 7\) (rearranging terms)
\(= 5x^2 + 2x - 7\) (combining the coefficients)
Therefore, the final answer for the addition of coefficients is \(5x^2 + 2x - 7.\)
To know more about coefficient visit:
https://brainly.com/question/1038771
#SPJ1
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
For more such questions on coordinates
https://brainly.com/question/29660530
#SPJ8
POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!HELP!!!!!!!!!!!!!plz...........
\((\frac{2^5}{3^2})^4=\frac{2^{5\cdot4}}{3^{2\cdot4}}=\frac{2^{20}}{3^8}\\\\\text{Answer: A)}\)
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. The actual dimensions of the building are 30 feet long by 55 feet wide. true or false
1 inch = 10 feet.
3 inches x 10 = 30 feet
5.5 inches x 10 = 55 feet
The actual room is 30 feet x 55 feet.
The answer is true.
Answer:
Round up to the Nernst number
Step-by-step explanation:
45 inches
From a standard deck of cards, how many ways can you pick a king,a heart, and then a five
Answer: 4 ways to pick a king, 13 ways to pick a heart, and 4 ways to pick a five. Given the cards are returned to the deck, there are no special cases such as picking the King of Hearts and/or the Five of Hearts that affect the count. 208 ways.
Step-by-step explanation:
The surface area of a cell phone screen is 11700 mm2. Use the fact that 10 mm = 1 cm to convert this area to cm2. Round your answer to the nearest whole number.
The surface area of a cell phone screen is 117 cm².
What is unit conversion?
Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.
We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:
11700 mm² / (100 mm² / cm²) = 117 cm²
Rounding to the nearest whole number, we get 117 cm².
To know more about unit conversions visit:
brainly.com/question/19420601
#SPJ9
Kelsey buys 4 packages of juice boxes for a class party.
Each package has 2 rows with 5 juice boxes in each row.
How many juice boxes does Kelsey buy in all?
Answer:
he buys 40 juice boxes
Step-by-step explanation:
Answer: good boy good boy
Find the intervals where the function is increasing and decreasing for the following functions. Using the first derivative test, state which critical value will give you your relative maximum/minimum. You DO NOT have to solve for relative max/min, just the value of c that would give me the min/max based off of the first derivative test.
f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.
The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
Charlene was making some chocolate squares for her class party. She had 8 packages of the mix. Each package called for cup of milk. How many whole cups of milk would Charlene use for all 8 packages?
The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.
What is a square?A square is a type of quadrilateral that has four sides with four angle 90° at each edge.
The number of chocolate square mixture Charlene would use for the party = 8 packages.
The number of packages that require a cup of milk = 1
Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.
Learn more about square here:
https://brainly.com/question/25092270
#SPJ1