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2 years ago

What is the circumference of a round pizza with an area of 36 square inches?

Mathematics

2 answers:

VARVARA [1.3K]2 years ago

6 0

You would do c=2pir and do 2*pi*36 for your answer

Mariulka [41]2 years ago

3 0

To make it easier, aprox pi=3.14
area=pir^2
36=area
36=pir^2
divide both sides by pi
36/pi=r^2
36/3.14=r^2
11.464=r^2
square root both sides
3.39=r

circumfernce=2pir
r=3.39
circumfrence=2pi times 3.39
circumference=pi times 6.78
circumference=3.14 times 6.78
circumfernce=21.29
answer is
circumference=21.29 in

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Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

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Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

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$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

A college surveys 300 graduates and finds 98 graduated with honors and 207 had one or both parents graduate from college. Of the

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Answer:

20.43% probability that a randomly chosen graduate from these 300 graduated with honors given that neither parent graduated from college.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Graduated with honors:

98 students graduated with honors. Of those, 79 had at least one parent graduating from college. So 98 - 79 = 19 did not.

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

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Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship:

$tan \theta = \frac{H'}{d}$

since

H' represents the side of the triangle opposite to $\theta$

d represents the side of the triangle adjacent to $\theta$

Solving the equation for $\theta$ , we find the angle of elevation:

$\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}$

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