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3 years ago

What is the approximate area of a sector with radius equal to 8 and measure of arc equal to 300°?

2 answers:

5 0

Sector Area = (central angle / 360) * PI * radius^2
Sector Area = 300 / 360 * PI * 8^2
Sector Area = (5/6) * 64 * PI
Sector Area = 53.3 * PI

Source:
http://www.1728.org/radians.htm

dangina [55]3 years ago

3 0

Answer:

$area of sector=53.3 \pi$

Step-by-step explanation:

the approximate area of a sector with radius equal to 8 and measure of arc equal to 300°

The radius of a circle is 8

measure of an arc is 300 degree

Now use area of a sector formula

$area=\frac{angle}{360} \cdot \pi r^2$

Replace the radius and angle value in the formula

$area=\frac{300{360} \cdot \pi (8)^2$

$area=\frac{5}{6} \cdot \pi (64)$

$area=53.3 \pi$

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The radius of a circle is 5 inches find the exact area of the circle

jeyben [28]

I think the answer is 78.53982
Hope it helps!

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1 year ago

The number of users on a website is 630 and is growing exponentially at a rate of 76% per year. Write a function to represent th

Dafna1 [17]

The exponential function that represents the number of users on the website after t is given by:

$A(t) = 630(1.76)^t$

The daily rate of change is of 20.82%.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

For this problem, the parameters are given as follows:

$A(0) = 630, r = 0.76$

Hence the equation that represents the number of users on the website after t is given by:

$A(t) = 630(1.76)^t$

An year has 365 days, hence the rate of change per day is given by:

76/365 = 0.2082 = 20.82%.

The daily rate of change is of 20.82%.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0

2 years ago

Find the length of the unknown side. Round your answer to the nearest tenth. Image of a right triangle with a leg labeled 8, hyp

Effectus [21]

A^2 + b^2 = c^2.......a and b r the legs and c is the hypotenuse
8^2 + b^2 = 14^2
64 + b^2 = 196
b^2 = 196 - 64
b^2 = 132.....take square root of both sides, eliminating the ^2
b = square root 132
b = 11.49 rounds to 11.5 <==

3 0

3 years ago

Read 2 more answers

Amy pays $2.70 for 3 apples and 2 bananas. One apple costs $0.40 more than one banana. Let a represent the price per apples.

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Answer:

Guess and Check Count by 5 Stop 5 10 15 20 25 2.70÷5 5.2 So then divide the .20 cents remaining and 6 cents more about per apple than banana

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4 years ago

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a

Tpy6a [65]

Answer:

By the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.4 years.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The mean for the entire population is 5.4 years.

So, by the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.4 years.

7 0

4 years ago