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AlekseyPX
2 years ago
13

Type the correct answer in the box. If necessary, use / for the fraction bar. A shaded triangular pyramid and an inverted shaded

triangular pyramid has their bases on the bottom and the top sides of a rectangular prism. Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the prism, expressed as a fraction in simplest form, is . Reset Next
Mathematics
1 answer:
Lapatulllka [165]2 years ago
7 0

The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.

<h3>How to calculate the volume of a pyramid?</h3>

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

<u>Where:</u>

  • h is the height.
  • b is the base area.

Since both pyramids have the same base area as the prism, their combined volume is given by:

Combined volume = (1/3 × b × h) + (1/3 × b × h)

Combined volume = 2/3 × b × h

Also, the volume of this prism = 1/2 × b × h

Thus, the ratio is given by:

Ratio = (2/3 × b × h)/(1/2 × b × h)

Ratio = 2/3 × 1/2

Ratio = 1/3.

Read more on pyramid here: brainly.com/question/16315790

#SPJ1

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Answer:

x = 19.325

Step-by-step explanation:

You have: x - 4.225 = 15.1

Isolate x by adding 4.225 to both sides

x - 4.225 + 4.225 = 15.1 + 4.225

x = 15.1 + 4.225 = 19.325

x = 19.325

8 0
3 years ago
Mk, someone knows this answer. I know it! Pwease help!
rosijanka [135]

Answer:

16(base) x 15(height) x 1/2(basically just dividing by 2) = 120

120 x 2 = <em>240</em>

17 x 17 = 289, 289 x 2 = <em>578</em>

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4 0
3 years ago
143=7+8(3-7x) solve and justify
Llana [10]
Justify means plug answer in and verify

so distribute 8(3-7x)=24-56x

143=7+24-56x
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-2=x

justify

plug it back
143=7+8(3-7x)
143=7+8(3-7(-2))
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7 0
3 years ago
How to find area of 4-sided figure
hoa [83]

Answer:

Step-by-step explanation:

U do bass times height to get ure answer then if it is a square multiply it one time by itself. And if it is a triangle multiply bass times height divided by two and u will get ure answer

8 0
3 years ago
3/5 in two equivalent forms
Deffense [45]

To get the equivalent of 3/5, multiply both the numerator and denominator by the same number. So, multiply 3/5 by 2 and you will get 6/10. Multiply 3/5 by 3 and you will get 9/15. <em><u>The equivalent fractions of 3/5 are 6/10 and 9/15.</u></em>

Hope it helps :)

6 0
3 years ago
Read 2 more answers
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