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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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Pythagorean Theorem in Cones. Please help
Lady_Fox [76]
3^2 + height^2 = 9^2

9 + height^2 = 81
height ^2 = 72

height = sqrt(72)

5 0
3 years ago
PLEASE HELP! SO CONFUSED! 25 POINTS!!
MrRa [10]

Answer:

D

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= (x + 4)(3x² - 7)

each term in the second factor is multiplied by each term in the first factor , that is

x(3x² - 7) + 4(3x² - 7) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28 ← in standard form

7 0
2 years ago
Which of the following best represents the average rate at which the human hair grows?
mamaluj [8]
The answer is d , 0.25 inches per month
4 0
3 years ago
PLZ HELP QUICK-------------->
sveticcg [70]
<h2>>>> Answer <<<</h2>

Let's check which polynomial is divisible by ( x - 1 ) using hit , trial and error method .

A ( x ) = 3x³ + 2x² - x

The word " divisible " itself says that " it is a factor "

Using factor theorem ;

Let;

=> x - 1 = 0

=> x = 1

Substitute the value of x in p ( x )

p ( 1 ) =

3 ( 1 )³ + 2 ( 1 )² - 1

3 ( 1 ) + 2 ( 1 ) - 1

3 + 2 - 1

5 - 1

4

This implies ;

A ( x ) is not divisible by ( x - 1 )

Similarly,

B ( x ) = 5x³ - 4x² - x

B ( 1 ) =

5 ( 1 )³ - 4 ( 1 )² - 1

5 ( 1 ) - 4 ( 1 ) - 1

5 - 4 - 1

5 - 5

0

This implies ;

B ( x ) is divisible by ( x - 1 )

Similarly,

C ( x ) = 2x³ - 3x² + 2x - 1

C ( 1 ) =

2 ( 1 )³ - 3 ( 1 )² + 2 ( 1 ) - 1

2 ( 1 ) - 3 ( 1 ) + 2 - 1

2 - 3 + 2 - 1

4 - 4

0

This implies ;

C ( x ) is divisible by ( x - 1 )

Similarly,

D ( x ) = x³ + 2x² + 3x + 2

D ( 1 ) =

( 1 )³ + 2 ( 1 )² + 3 ( 1 ) + 2

1 + 2 + 3 + 2

8

This implies ;

D ( x ) is not divisible by ( x - 1 )

<h2>Therefore ; </h2>

<h3>B ( x ) & C ( x ) are divisible by ( x - 1 ) </h3>
6 0
3 years ago
Question On picture 100 points please help
NARA [144]

Answer:

B is a table and the x-axis is 12 as the area

Step-by-step explanation:

3 0
2 years ago
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