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2 years ago

A circle has a circumference of 452.16452.16 units. What is the radius of the circle?

Mathematics

1 answer:

ella [17]2 years ago

6 0

Answer:

72 units

Step-by-step explanation:

A circle has a circumference of 452.16

The formula for circumference of circle = $2\pi r$

Where r is the radius of circle

The approximate value of pi = 3.14

Given circumference C= 452.16

$C = 2\pi r$

$452.16 = 2(3.14)r$

$452.16 = (6.28)r$

Divide both sides by 6.28

r = 72

So radius of the circle 72 units

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A group of 85 people were asked whether or not they prefer a bagel or a muffin for breakfast and whether or not they prefer milk

gladu [14]

Answer:

The answer(s) would be WY/WZ, or WYZ (If this is multiple choice)

Step-by-step explanation:

The reasoning is that in the "IRL Equation" the polls showed that orange juice was prefered over milk, and didn't matter whether they wanted a bagel or muffin. All that matters in this equation is that it is one sided (For the 1st poll that is) and now you are able to narrow down the possibilities of the answer(s).

5 0

3 years ago

can someone help me understand this? The length of the rectangle is two more then its width. the perimeter of the rectangle is 7

Tema [17]

Answer:

length = 24 meters

Step-by-step explanation:

1. l = 2w

2. P = 2l + 2w

P=72

3. 72 = 2l + 2w

4. Substitute w=l/2 to solve for l

72 = 2l + 2(l/2) ---> 72 = 3L - Divide by 3 on both sides

L= 24 meters

4 0

2 years ago

The length of an instant message conversation is normally distributed with a mean of 5 minutes and a standard deviation of .7 mi

Charra [1.4K]

The correct answer is:

0.0764

Explanation:

We will use a z-score to answer this. The formula for a z-score is

$z=\frac{X-\mu}{\sigma}$ , where μ is the mean and σ is the standard deviation. Using our information in this problem, we have

$z=\frac{6-5}{0.7}=\frac{1}{0.7}=1.43$

Using a z-table, we look up the z-score 1.43. The area under the curve to the left of, or less than, this value is 0.9236. This means the probability that the time is greater than this is 1-0.9236 = 0.0764.

7 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equati

Klio2033 [76]

Answer:

$y = x +7$

Step-by-step explanation:

Given

$Point\ (x_1,y_1) = (4,11)$

Perpendicular to $y = -x + 14$

Required

Determine the line equation

An equation has the form

$y = mx + b$

Where

$m = slope$

By comparison with $y = -x + 14$

$m = -1$

Because the line is perpendicular to $y = -x + 14$ , the following relationship exists

$m_1 = \frac{-1}{m}$ i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through $Point\ (x_1,y_1) = (4,11)$

So, we have:

$m_1 = \frac{-1}{-1}$

$m_1 = 1$

The line equation is then calculated using:

$y - y_1 = m_1(x - x_1)$

Where

$m_1 = 1$

$Point\ (x_1,y_1) = (4,11)$

So, we have:

$y - 11 = 1(x - 4)$

$y - 11 = x - 4$

Add 11 to both sides

$y - 11+11 = x - 4+11$

$y = x - 4+11$

$y = x +7$

The B, C and D parts of your question are not clear.

Apply the same steps used in (a) above and you'll get your answers

7 0

2 years ago

Rewrite the expression -2a(a+b-5)+3(-5a+2b)+b(6a+b-8)

Nimfa-mama [501]

First separately:
$-2a(a+b-5) = -2a^{2}-2ab+10a$
$3(-5a+2b) = -15a + 6b$
$b(6a+b+8) = 6ab+b^{2}+8b$

Then you add then all together and get:
$-2a^{2}-2ab+10a-15a + 6b+ 6ab+b^{2}+8b =$
$-2a^{2}-5a+4ab+14b+b^{2}$

5 0

2 years ago

Read 2 more answers