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Tpy6a [65]
3 years ago
15

What is the volume of aa circle with the radius of 1?

Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer:

3.14159 (pi)

Step-by-step explanation:

1^1=1*3.14=3.14

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A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the g
astra-53 [7]

The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.

<h3>How to solve the length?</h3>

Here, we have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 2 ft

BD = 35 ft

First, find AB:

AB/11 = (35 + 2)/2

AB/11 = 37/2

Cross multiply

AB = (37 × 11)/2

AB = 203.5 ft

Then, apply Pythagorean Theorem to find AE:

AE = √(AB² + BE²)

AE = √(203.5² + 37²)

AE = 207 ft

Therefore, the length of the guy wire is 207 ft.

Learn more about Pythagorean theorem on:

brainly.com/question/654982

5 0
2 years ago
A research company desires to know the mean consumption of meat per week among people over age 40. A sample of 610 people over a
Papessa [141]

Answer: (3.0,\ 3.2)

Step-by-step explanation:

Confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}  (1)

, where \overline{x} = Sample mean

z_{\alpha/2}= Critical z-value

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

n= 610

\sigma=1.1

\overline{x}=3.1

Significance level for 85% confidence : \alpha=1-0.85=0.15

By z-table critical two tailed z-value : z_{\alpha/2}=z_{0.075}=1.44

Put all values in (1) , we get

3.1\pm 1.44\dfrac{1.1}{\sqrt{610}}

3.1\pm 1.44\dfrac{1.1}{24.698}

3.1\pm 0.064

=(3.1-0.064,\ 3.1+0.064)=(3.036,\ 3.164)\approx(3.0,\ 3.2)

Hence, the 85% confidence interval for the mean consumption of meat among people over age 40.  = (3.0,\ 3.2)

5 0
3 years ago
You’ve written your first novel and, like many first-time authors, can’t find a publisher. So you’ve decided to self-publish you
Over [174]
P(x) = 4x + 1550 <== ur function

selling only 50 copies...
P(50) = 4(50) + 1550
P(50) = 200 + 1550
P(50) = 1750....so the printing cost for 50 copies is 1750

1750 = 50x....x = cost of each book
1750/50 = x
35 = x.......u would have to sell each book for $ 35 <===
5 0
3 years ago
I don't understand how this works
gavmur [86]
$17.40

I'm not 100% sure on this answer, but I don't think anyone else will be answering.
4 0
3 years ago
Describe the transformation from y= x + 4 to y= .5x + 4 Group of answer choices compresses stretches shifts right 4 shifts left
Nina [5.8K]

Answer:

This type of transformation is a horizontal stretch.

<em></em>

Step-by-step explanation:

Given

y = x + 4

y = .5x + 4

Required

Determine the type of transformation

The first function can be expressed as:

f(x) = x + 4

While the second function is:

g(x) = f(0.5x)

Solving f(0.5x), we have to substitute 0.5x for x in f(x) = x + 4

f(0.5x) = 0.5x + 4

So:

The second function is:

g(x) = 0.5x + 4

<em>This type of transformation is a horizontal stretch.</em>

<em></em>

<em>i.e. f(x) stretched to g(x)</em>

4 0
3 years ago
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