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2 years ago

I have 15a but I need 15b and 14

Mathematics

1 answer:

Naily [24]2 years ago

8 0

14. For a prism, the volume is given by
.. V = Bh . . . . . . . . where B is the area of the base, and h is the height of the prism

For a pyramid, the volume is given by
.. V = (1/3)*Bh . . . . where B is the area of the base, and h is the height of the pyramid

The volume is proportional to the area of the base. If the dimensions of the base decrease linearly to zero at the height of the geometry as they do for pyramids and cones, then the volume formula includes a factor of 1/3.

15b. The volume of a pyramid is 1/3 that of a prism with the same base area and height.

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Can someone solve this? and tell me how?

maksim [4K]

Answer:

1/3

Step-by-step explanation:

When working with balanced expressions (stuff on both sides of the equal sign), "what you do to one side, you do to the other", which keeps it balanced.

The first thing we notice is the exponent 1/4, which is one both sides, so we can get rid of it on both sides by using the reverse operation.

The reverse of exponents is square root.

$(4x + 10)^{\frac{1}{4}} = (9 + 7x)^{\frac{1}{4}}\\\sqrt[\frac{1}{4}]{(4x + 10)^{\frac{1}{4}}} = \sqrt[\frac{1}{4}]{(9 + 7x)^{\frac{1}{4}}}\\\\4x + 10 = 9 + 7x$

Isolate x to solve. Separate the variables and non-variables.

4x + 10 = 9 + 7x

4x - 4x + 10 = 9 + 7x - 4x Subtract 4x from both sides

10 = 9 + 3x

10 - 9 = 9 - 9 + 3x Subtract 9 from both sides

1 = 3x Divide both sides by 3 to isolate x

x = 1/3 Answer

8 0

2 years ago

What is the simplified value of the exponential expression 64 1/3?

notka56 [123]

Hi there!

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I believe your answer is:

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Here’s why:

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I am assuming that the fraction is supposed to be the exponent.

⸻⸻⸻⸻

$64^{\frac{1}{3}}\\--------\\\rightarrow \text{Recall the exponent rule: } a^{\frac{m}{n}}=(\sqrt[n]{a})^m\\\\\\\rightarrow \sqrt[3]{64}\\\\\rightarrow \boxed{4}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

3 0

2 years ago

Someone please help me! GIVING BRAINLIST TO FIRST RIGHT ANSWER

grin007 [14]

Answer:

A. The mean is increased by 3

Step-by-step explanation:

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 = 56/8 = 7

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 + 34 = 90/9 = 10

10 - 7 = 3

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1 year ago

What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 2x + 5?

Scilla [17]

Answer:

(–4, 5) and (–2, 1)

Step-by-step explanation:

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1 year ago

What is the median of the data below?

ExtremeBDS [4]

I think it is 35. i hope i have helped you

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2 years ago

Read 2 more answers