All categories

3 years ago

Well, I have to write 20 words, so... I think this is enough.

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

6 0

<h3>Answer: Choice D</h3><h3>m = n</h3><h3>b = sqrt(pi)*a</h3>

=====================================================

Explanation:

Each circle has a radius of 'a'. So r = a.

The area of each circle is pi*r^2 = pi*a^2

The area of each square with side length b is b^2

The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.

Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a

The stacks must also be the same height for the volumes to be the same, so m = n as well.

You might be interested in

A survey of athletes at a high school is conducted, and the following facts are discovered: 13% of the athletes are football pla

nekit [7.7K]

Answer:

The probability that an athlete chosen is either a football player or a basketball player is 56%.

Step-by-step explanation:

Let the athletes which are Football player be 'A'

Let the athletes which are Basket ball player be 'B'

Given:

Football players (A) = 13%

Basketball players (B) = 52%

Both football and basket ball players = 9%

We need to find probability that an athlete chosen is either a football player or a basketball player.

Solution:

The probability that athlete is a football player = $P(A)= \frac{13}{100}=0.13$

The probability that athlete is a basketball player = $P(B)= \frac{52}{100}=0.52$

The probability that athlete is both basket ball player and football player = $P(A\cap B) = \frac{9}{100}=0.09$

We have to find the probability that an athlete chosen is either a football player or a basketball player $P(A\cup B)$ .

Now we know that;

$P(A\cup B)= P(A) + P(B) - P(A \cap B)\\\\P(A\cup B) = 0.13+0.52-0.09=0.56\\\\P(A\cup B) = \frac{0.56}{100}=56\%$

Hence The probability that an athlete chosen is either a football player or a basketball player is 56%.

5 0

3 years ago

The table shows Reese's earnings from selling birdhouses. Which statements are correct for this situation?

geniusboy [140]

Answer:

Walter builds birdhouses. he spends $5 on the materials for each birdhouse. he can build one in 30 minutes. he is semi-retired but earns $8 per hour at the local hardware store. he can sell a birdhouse for $20 each. refer to scenario 13-11. the explicit cost for one birdhouse is

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

I need help on this.

ch4aika [34]

The right answer is 6.

Please see the attached picture for full solution.

Hope it helps...

Good luck on your assignment

8 0

3 years ago

Read 2 more answers

16. For quadrilateral ABCD, determine the most precise name for it. A (-2, 3), B (9, 3), C (5, 6) and D (2, 6). Show your work a

Genrish500 [490]

The quadrilateral ABCD, with vertices A(-2,3), B(9,3), C(5,6) and D(2, 6), is a trapezoid.

By definition, a trapezoid is a quadrilateral which has two parallel sides (These are called "bases"), but the other sides are not parallels.

4 0

3 years ago

Read 2 more answers

Angle c has what measurement according to the portractor?

Alekssandra [29.7K]

So what you need to do is take a protractor and use it to measure angle c

3 0

3 years ago