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Vlad [161]
3 years ago
10

Which expression gives the volume of a sphere with radius 7?

Mathematics
2 answers:
masha68 [24]3 years ago
9 0
A. is your answer 

Hope this helps! :)
leva [86]3 years ago
7 0

Answer:  The correct expression is (A) \dfrac{4}{3}\pi(7)^3.

Step-by-step explanation:  We are given to select the correct expression that gives the volume of a sphere with radius 7 units.

We know that

the VOLUME of a sphere with radius 'r' units is given by

V=\dfrac{4}{3}\pi r^3.

Here, the radius of the given sphere is

r = 7 units.

Therefore, the volume of the sphere will be

V=\dfrac{4}{3}\pi r^3\\\\\\\Rightarrow V=\dfrac{4}{3}\pi (7)^3.

Thus, the required expression is \dfrac{4}{3}\pi(7)^3.

Option (A) is correct.

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12. Find the smaller of 2 consecutive integers,
emmasim [6.3K]

The smaller of 2 consecutive integers is -15. The equation to determine the  consecutive integers is x + (x + 1) = -29

<u>Solution:</u>

Given that sum of two consecutive integer is -29.

Need to write the equation and determine the smaller of 2 consecutive integers.

Let’s smaller integer be represented by variable x

So bigger consecutive integer will be represented by x + 1  

As sum of two integer = -29

=> x + (x + 1) = -29

=> 2x + 1 = -29    

=> 2x + 30 = 0   ----------(1)

On solving equation (1) for x we get

2x =-30

=> x = -15

Smallest integer = x = -15

Bigger integer = x + 1 = -15 + 1 = -14

Hence required smaller integer = -15 and required equation is x + (x + 1) = -29

6 0
3 years ago
A bookshelf contains 10 mysteries, 8 biographies, and 6 science fiction books. A book is randomly selected, replaced, then anoth
hichkok12 [17]

Answer:

10+8+6=24 the ratio of taking the biographies to the science books are: 4:3

Step-by-step explanation:

That is the answer because 10+8+6= total 24 books

ratio of biographies= 24:8=3:1

ratio of science fiction= 24:6= 4:1

hence according axiom 1 ab × Ac= aa × BC

3:1×4:1= 4:3

HOPE THIS HELPSBYOU✌️

6 0
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Jill spend $45
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Answer:

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Step-by-step explanation:

For these problems we should find the GCF, which is 12.

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