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Vera_Pavlovna [14]
3 years ago
7

Find the volume of a sphere with radius 15 Using the formula in the picture

Mathematics
1 answer:
telo118 [61]3 years ago
4 0

Answer:

in terms of pi: 4500π units^3

decimal: 14137.16694 units^3 (ROUND TO THE NEAREST DECIMAL POINT BASED OFF OF THE QUESTION PROMPT!)

Step-by-step explanation:

FOR “IN TERMS OF PI” =

V = (4/3) (π) (15^3)

V = (4/3) (π) (3375)

V=4500π

FOR ACTUAL DECIMAL=

V = (4/3) (π) (15^3)

V = (4/3) (π) (3375)

V=4500π

V= 14137.16694 units^3

hope this helps! :)

(please mark brainliest if you can! ty :D)

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If a polyhedron has 5 faces and 7 vertices, then it must have how many edges? Please show step-by-step work
Juli2301 [7.4K]

Answer:

10 edges

Step-by-step explanation:

we know that

The Euler's formula state that: In a polyhedron, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

V - E + F = 2

in this problem  we have

V=7\\E=?\\F=5

substitute the given values

7 - E + 5 = 2

solve for E

Combine like terms in the left side

12 - E = 2

subtract 12 both sides

- E = -10

Multiply by -1 both sides

E =10

8 0
3 years ago
Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up an th
frosja888 [35]

Answer:

3x - y = 0; 2x - y = -5

Step-by-step explanation:

Let x be the present age of Hans and y be the present age of Grace,

Since, in present Grace is three times as old as Hans,

⇒ y = 3x

⇒ 3x - y = 0

Now, after 5 years,

The age of Hans = x + 5,

And, the age of Grace = y + 5

Also, in 5 years Grace will be twice as old as Hans is then,

⇒ y + 5 = 2 ( x + 5 )

⇒ y + 5 = 2x + 10

⇒ 2x - y = -5

Hence, the required system of linear equations is,

3x - y = 0; 2x - y = -5

5 0
3 years ago
Evaluate 8j - k + 14 when j = 0.25 and k = 1.
pantera1 [17]

Steps to solve:

8j - k + 14; j = 0.25 and k = 1

~Substitute

8(0.25) - (1) + 14

~Simplify

2 - 1 + 14

~Subtract

1 + 14

~Add

15

Best of Luck!

8 0
3 years ago
Read 2 more answers
If 5x - 8 = 37, then x = 9.​
lyudmila [28]

Answer:

true

Step-by-step explanation:

5x-8=37

5(9)-8=37

45-8=37

37=37

8 0
3 years ago
What is the sum?<br> 8+(-12)<br> О-20<br> 0-4<br> 020
rodikova [14]

Answer: -4

Work: So, to get -4, we need to simplify the equation. If you see any equation with +(- that's subtraction. So, with the rule, this equation is basically 8-12, and that's -4.

7 0
3 years ago
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