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lesya [120]
3 years ago
7

A sphere of diameter D inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving the

answer in terms of π.
Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

0.25D^2 π in^2.

Step-by-step explanation:

The cross section is a circle of diameter D inches, so its radius is 0.5D inches.

The area of cross section is  πr^2

= (0.5D)^2 π

= 0.25D^2 π in^2.  

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Which of the following is not a true statement about pi?
FinnZ [79.3K]

Answer:

Option D.The ratio of the radius of a circle to its circumference

Step-by-step explanation:

<em>Verify each statement</em>

A) The ratio of the circumference of a circle to its diameter

The statement is True

Because

C=\pi D

so

\pi=C/D

B) Approximated to be 3.14

The statement is True

Because \pi=3.14159265...

C) Approximated to be 22/7

The statement is True

Because

\frac{22}{7}=3.1423

D) The ratio of the radius of a circle to its circumference

The statement is not True

Because

\frac{r}{2\pi r}=\frac{1}{2\pi}

4 0
2 years ago
Jakob is tiling a newly finished room.He estimates that he tiles about 9 square ft every 3/4 hour. About how many sq ft can he t
Ganezh [65]
Okay this is how I would figure this out:
I would take 9 divided by 3 and get 3, so he can tile abut 3 square ft. in 15 minutes.
Then, I would multiply 3 by 4 because there are 4 15 in an hour. I would get 12.
So it takes Jakob 1 hour to tile 12 square feet. 

Your answer is: He can tile about 12 square feet per hour.

Hope this helped :)
4 0
3 years ago
Figure ABCD is a parallelogram. What is the value of n?
Zigmanuir [339]

Answer

Find out the what is the value of n.

To prove

By using the parallelogram property .

In parallelogram opposite angels are congruent .

As shown in the figure .

∠B = ∠ D

As given

∠B = (2n + 32)°

∠D = (4n - 2)°

(2n + 32) =  (4n - 2)

solving the above

4n -2n = 32 +2

2n = 34

n = \frac{34}{2}

n = 17

Therefore the value of n is 17 .


5 0
3 years ago
Read 2 more answers
Select all the correct answers. Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If th
mojhsa [17]

Answer: T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

6 0
2 years ago
Find the value of x, and measure of angle A. (2x+60) (5x+2) 40
LuckyWell [14K]

Answer:

 

Step-by-step explanation:

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3 years ago
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