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3 years ago

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A rectangular picture has dimensions x and x + 10. The picture is in a frame 2 inches wide. The total area of the picture and th

e frame is 875 in2. What are the dimensions of the picture? Show your work and explain how you got your answer. (if you can please do it on paper)

1 answer:

GREYUIT [131]3 years ago

7 0

Answer:

Step-by-step explanation:

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Evaluate the following expression when x = -1, y = 2, z = -3, and<br> w = 4.<br> x² - y²

vaieri [72.5K]

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

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3 years ago

Which is the quotient if 3/5 and 1/10?

AlladinOne [14]

Answer:

6

Step-by-step explanation:

We have two fractions and are asked to find the answer if they both are divided.

3/5 and 1/10.

When we divide fractions, we need to follow KCF

KEEP - Keep the fractions

CHANGE - Change the division sign to a multiplication sign

FLIP - Flip the second fraction

Follow :

KEEP :

3/5 / 1/10

CHANGE :

3/5 * 1/10

FLIP :

3/5 * 10/1

Now we need to multiply, which is simple because it's multiplying across :

$\frac{3*10}{5*1}$

30/5

Simplify by dividing the numerator and denominator by 5 :

$\frac{30/5}{5/5} = \frac{6}{1}$

Divide the numerator by denominator :

$\frac{6}{1} = 6$

8 0

3 years ago

You found an old vase in the shape of a cylinder. It has a radius of 6.5 centimeters and a height of 16 centimeters. What is the

Strike441 [17]

Answer:

3.14*6.5^2*16=

42.25*16=2122.64 or 2122.6

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree

Dmitriy789 [7]

$72^{\circ}$

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

$\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\ \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\ \\ 500\pi+\frac{125\piα}{72}=625\pi \\ \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi \\ \\ \frac{125\pi α}{72}=125\pi \\ \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi \\ \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\ \\ α=72^{\circ} \\ \\ \end{gathered}$

Thus, the centra angle of that shaded area is 72º

6 0

1 year ago

Calculate the data value that corresponds to each of the following z-scores.

Fynjy0 [20]

Answer:

a) 90.1

b) $35.6

c) 3.0915 hours

Step-by-step explanation:

The z-score measures how many standard deviations a score X is above or below the mean.

It is given by the following formula:

$Z = \frac{X - \mu}{\sigma}$

In which $\mu$ is the mean and $\sigma$ is the standard deviaition.

In all three cases, we have to find X

a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.

$Z = \frac{X - \mu}{\sigma}$

$2.30 = \frac{X - 74}{7}$

$X - 74 = 7*2.3$

$X = 90.1$

b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.

$Z = \frac{X - \mu}{\sigma}$

$-1.45 = \frac{X - 53}{12}$

$X - 53 = -1.45*12$

$X = 35.6$

Mean and standard deviation in dollars, so the answer also in dollars.

c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.

$Z = \frac{X - \mu}{\sigma}$

$-0.79 = \frac{X - 4}{1.15}$

$X - 4 = -0.79*1.15$

$X = 3.0915$

Mean and standard deviation in hours, answer in hours.

6 0

3 years ago