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jek_recluse [69]
2 years ago
11

I need help with this

Mathematics
1 answer:
Leno4ka [110]2 years ago
6 0

Answer:

756pi  unit^3.

Step-by-step explanation:

This is the sum of the volume of 3 spheres

V of a sphere = 4/3 pi r^3, so we have:

4/3 pi 2^3 + 4/3 pi 6^3 + 4/3 pi 7^3

= 4/3pi (2^3 + 6^3 + 7^3)

= 756pi.

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3 soccer balls and 5 more how many are there​
vodomira [7]

Answer:

8

Step-by-step explanation:

3+5=8

6 0
3 years ago
Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
QUICKK <br> Solve for x. You must write your answer in fully simplified form.
aalyn [17]

To solve divide both sides by 4 to cancel out the 4 on the x side to get x alone. Then just do -10/4. That gives you 2.5 so (X=2.5). Hope I helped and have a great day and night

3 0
3 years ago
Read 2 more answers
How to evaluate this expression: (2*to the 3rd power) to the 2nd power divided by 2*to the -1 power*
vaieri [72.5K]
Answer is 3000 hope this help
5 0
3 years ago
What is the relationship between Za and Zb?
Nesterboy [21]

Answer: B

Step-by-step explanation:

∠a and ∠b are complementary angles. Complementary angles are two angles adjacent to each other that add up to 90°. We know this is true because of the 90° angle that is labelled.

Vertical angles are not adjacent to each other. They are across from each other, connected by the angle. They are equal in angles. It is clear that ∠a and ∠b are not equal in angles. Therefore, they are complementary angles.

6 0
3 years ago
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