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hammer [34]
3 years ago
15

Chef Pierre can do something unique. Using a secret process, he can bake a nearly perfectly spherical pie consisting of a vegeta

ble filling inside a thick crust. The radius of the whole pie is 12 cm, and the radius of the filling is 8 cm. What is the volume of the crust alone, to the nearest unit? Use p = 3.14.
Mathematics
1 answer:
Katen [24]3 years ago
4 0
Given that the crust formed is cylindrical with the height which is equal to the radius of the sphere, then the volume will be given by:
V=πr^2h
V=π*8^2*12
V=2,412.743 cm^3
We conclude that the volume of the crust is 2,412.743 cm^3

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The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. which equation can be used to find
Virty [35]
Using the Pythagorean therom.

9^{2} + b^{2} = 14^{2}
81 + b^{2} = 196
b^{2} = 115
b = \sqrt{115}

Hope this helps!
3 0
3 years ago
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5(5c-1)-1=23c+6 solve the equation
EleoNora [17]

Answer: C=4

Step-by-step explanation:

5(5c-1)-1 = 23c + 6

1. Using PEMDAS. You know to do parenthesis first which is 5(5c-1)

Using distributive property you will get 25c-1-1 = 23c + 6

2. Simply on both sides and get 25c-2=23c+6

3. Using the rule that whatever you do on one side of the equal sign, you do on the other you can subtract 23c from both sides and get 2c-2=6. Then add 2 on both sides and get 2c=8

4. Divide both sides by 2 to get rid of the 2 and you get c=4

4 0
3 years ago
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meriva
These are the answers for your problem

1. 11/2

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7 0
3 years ago
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Given: ΔABC Prove: The three medians of ΔABC intersect at a common point.
Marta_Voda [28]
<span>Given: ΔABC

When written in the correct order, the two-column proof below describes the statements and justifications for proving the three medians of a triangle all intersect in one point are as follows:

Statements                                                          Justifications

Point F is a midpoint of Line segment AB        </span><span>by Construction               
Point E is a midpoint of Line segment AC
Draw Line segment BE
Draw Line segment FC 

Point G is the point of intersection between
Line segment BE and Line segment FC               Intersecting Lines Postulate

Draw Line segment AG                                        by Construction

Point D is the point of intersection between
Line segment AG and Line segment BC              Intersecting Lines Postulate

Point H lies on Line segment AG such that
Line segment AG ≅ Line segment GH                 by Construction

</span><span>Line segment FG is parallel to line segment
BH and Line segment GE is parallel to line
segment HC                                                         Midsegment Theorem

</span><span><span>Line segment GC is parallel to line segment
BH and Line segment BG is parallel to
line segment HC                                                  Substitution</span>

</span>BGCH is a                                                        <span><span><span><span>Properties of a Parallelogram </span>parallelogram                                                   (opposite sides are parallel)</span>

</span>Line segment BD ≅ Line segment                    </span><span><span>Properties of a Parallelogram </span>DC                                                                    (diagonals bisect each other)   

Line segment AD is a median                          Definition of a Median</span>

Thus the most logical order of statements and justifications is: II, III, IV, I
7 0
3 years ago
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Anna35 [415]

Answer:

12

Step-by-step explanation:

72/2 is 36

72/6 is 12

36 is a factor of 12

therefore 12 is the answer

8 0
3 years ago
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