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3 years ago

The diameter of a circle is 6 cm. Find its area to the nearest tenth.

Mathematics

2 answers:

Kruka [31]3 years ago

8 0

Answer:

28.27cm²

Step-by-step explanation:

formula:

A=πr²

d = 2r

Solving for A

A=1/4π d² = 1/4 · π · 6² ≈ 28.27433cm²

rounded: 28.27cm²

hope this helped!

Assoli18 [71]3 years ago

7 0

Answer:

$= 28.26 {cm}^{2} \\$

Step-by-step explanation:

$d = 2r \\ 6 = 2r \\ \frac{6}{2} = \frac{2r}{2} \\ r = 3$

$area = \pi {r}^{2} \\ = \pi \times 3 \times 3 \\ = 28.26 {cm}^{2}$

hope this helps

brainliest appreciated

good luck! have a nice day!

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The mean of 12 numbers is 20 and the mean of another 8 numbers is 25 find the mean of the 20 numbers

AysviL [449]

Answer:

Step-by-step explanation:

mean is calculated as

mean = $\frac{sum}{count}$

Given the mean of 12 numbers is 20 , then

$\frac{sum}{12}$ = 20 ( multiply both sides by 12 )

sum = 240

Given the mean of 8 numbers is 25 , then

$\frac{sum}{8}$ = 25 ( multiply both sides by 8 )

sum = 200

Total sum of the 20 numbers = 240 + 200 = 440, then mean of 20 numbers is

mean = $\frac{440}{20}$ = 22

8 0

3 years ago

A vessel sails 41 miles S 35° E. How far south has it sailed?

const2013 [10]

Option A: The vessel has sailed 34 miles South

Explanation:

Given that the vessel sails 41 miles S 35° E.

We need to determine the how far south the vessel has sailed.

Let us use the Pythagorean theorem to find the distance of the vessel has sailed.

Thus, we have,

$cos \ \theta=\frac{adj}{hyp}$

Substituting $\theta=35^{\circ}$ , $adj=x$ and $hyp=41$

Hence, we get,

$cos \ 35=\frac{x}{41}$

Simplifying, we have,

$0.82=\frac{x}{41}$

Multiplying both sides by 41, we have,

$33.62=x$

Rounding off to the nearest integer, we have,

$34=x$

Thus, the vessel has sailed 34 miles South.

Therefore, Option B is the correct answer.

6 0

3 years ago

A triangular prism has base that is a right triangle.

Schach [20]

The dimensions can vary. Here is a picture of a triangular prism with a right-triangle base.

3 0

3 years ago

25 students are learning how to make balloon animals. There are 194 balloons to be shared equally among the students. How many b

alexdok [17]

25 students
194 balloons

194/25 = 7.76
Each student gets 7 balloons, 7 x 25 = 175 balloons will be used
194 - 175 = 19 balloons remaining (Answer to part 1 of this question)

If each student needs 8 balloons
8 * 25 = 200
200 - 194 = 6 ballons needed (Answer to part 2 of this question)

We also could have found the answer to part 2 by saying that we had 19 balloons left over when the students each were given 7 balloons
Each student needs another 1 balloon = 25 balloons,
We have 19 left over
25 - 19 = 6 balloons need to be purchased (we got the same answer both ways so it is very likely we have the correct answer)

6 0

3 years ago

If the area of a circular pool is 300 square yards, what is its radius?

elixir [45]

Answer:

<h2>radius = 9.77 yards</h2>

Step-by-step explanation:

Since the pool is circular

Area of a circle = πr²

where

r is the radius

From the question

Area = 300 square yards

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

300 = πr²

Divide both sides by π

We have

${r}^{2} = \frac{300}{\pi}$

Find the square root of both sides

That's

$r = \sqrt{ \frac{300}{\pi} }$

r = 9.7720502

We have the final answer as

<h3>radius = 9.77 yards</h3>

Hope this helps you

4 0

3 years ago