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marshall27 [118]
3 years ago
12

Yeric designs a circular cushion by cutting pieces of fabric to sew together as the front and back of the cushion. He cuts each

piece of fabric according to the equation x2 + y2 = 100 with units in inches. Based on this equation, what is the diameter of the cushion?
5 in.
10 in.
20 in.
100 in.
Mathematics
2 answers:
Anastaziya [24]3 years ago
7 0

Answer:

20 inches

Step-by-step explanation:

correct on edge

babunello [35]3 years ago
7 0

Answer:

c // 20 inch

Step-by-step explanation:

edg 2021 ^u^

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A balloon has a circumference of 28 in use the circumference to approximate the surface area of the ballon to the nearest square
nikklg [1K]

The surface area of the balloon is 249 in².

<h3>What is the surface area of the balloon ?</h3>

A balloon has the shape of a sphere. The distance round the sphere is equal to the circumference of the sphere.

Circumference of the sphere = 2πr

Where:

  • r = radius
  • π = pi = 22 / 7

Radius - circumference / 2π

28 / ( 2 x 22/7) = 4.45 inches

Surface area of a sphere = 4πr²

4 x 22/7 x 4.45² = 249 in²

To learn more about the surface area of a sphere, please check: brainly.com/question/27267844

#SPJ1

5 0
1 year ago
F(x)=-x^2+6x+4<br><br>f(x)=−x <br><br>2<br><br> +6x+4
snow_lady [41]

Answer:

x = 3 - 2 (3)

Step-by-step explanation:

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8 0
2 years ago
The equation y = 155x + 110, 419 approximates the total cost in dollars, of raising a child in the United States from birth to 1
faust18 [17]

Answer: Third option.

Step-by-step explanation:

According to the information given in the exercise, you can find an approximation of the the total cost in dollars of raising a child in the United States ( from birth to 17 years) given a household's annual income, with the following equation:

y = 1.55x + 110, 419

Where "x" represents the household's annual income in dollars.

Therefore, if the annual income is $62,500; you can identify that:

x=62 ,500

Then, in order to calculat the approximated cost to raise a child in a household with that annual income given in the exercise, you need to substitute that value of "x" into the equation and then you must evaluate in order to find the value of "y".

Through this procedure you get the following result:

y = 1.55(62 ,500) + 110, 419\\\\y=96,875+ 110, 419\\\\y=207,294

6 0
3 years ago
A sample of 1000 college students at NC State University were randomly selected for a survey. Among the survey participants, 102
cupoosta [38]

Answer:

The upper endpoint of the 99% confidence interval for population proportion is 0.13.

Step-by-step explanation:

The confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

<u>Given:</u>

<em>n</em> = 1000

\hat p = 0.102

z_{\alpha /2}=z_{0.01/2}=z_{0.005}=2.58

*Use the standard normal table for the critical value.

Compute the 99% confidence interval for population proportion as follows:

CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.102\pm 2.58\times\sqrt{\frac{0.102(1-0.102)}{1000}}\\=0.102\pm0.0248\\=(0.0772, 0.1268)\\\approx (0.08, 0.13)

Thus, the upper limit of the 99% confidence interval for population proportion is 0.13.

6 0
3 years ago
Solve for the value of x 3x - 9 + 12 - 6x = -18
Zinaida [17]

Answer:

x=7

Step-by-step explanation:

3x-9+12-6x=-18

now let’s put together the like terms

3-3x=-18

-3x=-21

now we divide -21 By -3

the result is

x=7

5 0
3 years ago
Read 2 more answers
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