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3 years ago

What is the area of a circle with a diameter of 37 inches? in2 (Use 3.14 for Pi.)

Mathematics

1 answer:

Anestetic [448]3 years ago

7 0

Answer:

1,074.67 square inches

Step-by-step explanation:

$radius \: of \: circle = \frac{37}{2} = 18.5 \: in\\ area \: of \: circle \\ = \pi {r}^{2} \\ = 3.14 \times ( {18.5)}^{2} \\ = 3.14 \times 342.25 \\ = 1,074.665 \: {inches}^{2} \\ = 1,074.67\: {inches}^{2}$

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dangina [55]

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6.5\\ s=5.7 \end{cases}\implies 5.7=\cfrac{\theta \pi (6.5)}{180}\implies 1026=6.5\pi \theta \\\\\\ \cfrac{1026}{6.5\pi }=\theta \implies \stackrel{\textit{rounded up, using }\pi =3.14}{50.27=\theta }$

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2 years ago

The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y

goldenfox [79]

Answer:

<h3>The length of y is 62.82 cm.</h3>

Step-by-step explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

$tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}$

Therefore,

$tan \theta =\frac{x}{y}$

Plugging values of $\theta =30^o$ and x=36.25, we get

$tan 30^o=\frac{36.25}{y}$

Plugging value of $tan 30^o=0.577$ in above equation, we get

$0.577=\frac{36.25}{y}$

On multiplying both sides by y, we get

$0.577\times y=\frac{36.25}{y}\times y$

0.577y=36.25

Dividing both sides by 0.577, we get

$\frac{0.577y}{0.577} =\frac{36.25}{0.577}$

y=62.82

<h3>Therefore, the length of y is 62.82 cm.</h3>

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2 years ago

Property in Live Oak County is assessed at $250,000,000. The taxes to be raised are $10,000,000. What is the tax rate?

vekshin1

4% on the taxes. 10mil/ 250 mil = .04

4 0

3 years ago

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Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games) is

lions [1.4K]

Answer:

"30 years or less when, in reality, the average age is more than 30 years"

Step-by-step explanation:

Type I error is produced when conclusion rejects a true null hypothesis.

The null hypothesis is

"The average gamer is more than 30 years old"

(deduced from the wording, not explicitly stated).

Then if the conclusion is "the average gamer is less than or equal to 30 years old" when in reality the average age is more than 30 years, then there is a type I error, since the null hypothesis is rejected.

Answer is D:

"30 years or less when, in reality, the average age is more than 30 years"

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2 years ago

There are 12 boys and 12 girls participating in a quiz competition. Find the probability that a boy will win this competition an

KengaRu [80]

1/2 it's a fifty fifty unless the guys are complete idiots

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3 years ago

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