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balu736 [363]
3 years ago
10

A sphere of diameter 10 inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving th

e answer in terms of π. A) 10π in2 B) 25π in2 C) 50π in2 D) 96π in2
Mathematics
1 answer:
Natali [406]3 years ago
7 0
When a sphere is cut by a plane which passes through the center, it will create a circle that has the same diameter of the sphere.

To represent this area, you will use the formula for finding area of a circle.

A= pi x r^2
Pi x 5^2
A = 25 x pi or choice B
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What is the value of 2 3/4 ➗ 3/4​
Ivan

Answer:

3 2/3 is the answer

Step-by-step explanation:

Conversion a mixed number 2 3/

4

to a improper fraction: 2 3/4 = 2 3/

4

= 2 · 4 + 3/

4

= 8 + 3/

4

= 11/

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/

4

= 8/

4

b) Add the answer from previous step 8 to the numerator 3. New numerator is 8 + 3 = 11

c) Write a previous answer (new numerator 11) over the denominator 4.

Two and three quarters is eleven quarters

Divide: 11/

4

: 3/

4

= 11/

4

· 4/

3

= 11 · 4/

4 · 3

= 44/

12

= 4 · 11 /

4 · 3

= 11/

3

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

4

is 4/

3

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 11/

3

.

so you simplify to get 3 2/3

8 0
3 years ago
The owner purchases 5 buckets, 10 brushes, 48 towels, and 1 case of air fresheners for the car wash. The total cost of the purch
Allushta [10]
5 buckets at $2.89 = 5($2.89) = $14.45
10 brushes at $7.91 = 10($7.91) = $79.10
48 towels at $0.36 = 48($0.36) = $17..28

These three added together makes $110.83.  This leaves us $144.08-$110.83=$33.25 for the cost of the case of air fresheners.
8 0
4 years ago
. a) In a group of 75 students, 20 liked football only, 30 liked cricket only and 18 did not like any of two games? (i) How many
qaws [65]

i)50

<u>Steps</u>

30+20=50

ii)7

<u>Steps</u>

75-(30+20)-18

=75-(50)-18

=7

iii)20

<u>Steps</u>

From the available data from the question

iv)30

<u>Steps</u>

From the available data from the questionl

v)From the attcged image file

4 0
3 years ago
Make this into one equation please
Zanzabum

Answer:

5x-5x+8=2

Step-by-step explanation:

substitute y with -5+8

3 0
2 years ago
What is the image point of (1,-1)(1,−1) after a translation left 4 units and down 5 units?
DENIUS [597]

Answer:

The new point would be (-3,-6)

Step-by-step explanation:

To solve this it is nice to graph the first point at (1,-1). Then move the point left 4 units, making x -3. and then 5 units down, which would make y -6.

8 0
3 years ago
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