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3 years ago

11

The ratio of the heights of two similar pyramids is 3:2. The volume of the larger pyramid is 135 cm3. What is the volume of the

smaller pyramid?

1 answer:

gladu [14]3 years ago

3 0

$l-larger\\s-smaller\\\\\dfrac{h_l}{h_s}=\dfrac{3}{2}\to\dfrac{V_l}{V_s}=\left(\dfrac{3}{2}\right)^3\\\\V_l=135\ cm^3.\\subtitute\\\\\dfrac{135}{V_s}=\dfrac{27}{8}\ \ \ \ |cross\ multiply\\\\27V_s=135\cdot8\\\\27V_s=1080\ \ \ |divide\ both\ sides\ by\ 27\\\\\boxed{V_s=40\ (cm^3)}$

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aleksklad [387]

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3 years ago

According to the Guinness Book of World Records, a woman from Russia, Mrs. Vassilyeva, had 69 children between the years 1725 to

Maurinko [17]

Answer:

36.36% probability that she gave birth to quadruplets

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcoes.

Desired outcomes:

Giving births to quadruplets.

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So $D = 4$

Total outcomes:

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8 0

3 years ago

Value of t? 1.4t — 0.4 (t — 3.1) = 5.8

IceJOKER [234]

Hi!

<h3>Use the distribution property</h3>

1.4t — 0.4 * t - 0.4 * —3.1 = 5.8

1.4t — 0.4t - 1.24 = 5.8

<h3>Simplify</h3>

1t - 1.24 = 5.8

<h3>Add 1.24 to both sides</h3>

1t - 1.24 + 1.24 = 5.8 + 1.24

1t = 7.04

<u>t = 7.04</u>

<h2>The answer is t = 7.04</h2>

Hope this helps! :)

-Peredhel

6 0

3 years ago

A right rectangular prism has a length of 10 in., a width of 12 in., and a height of 16 in. the dimensions of the prism are halv

mamaluj [8]

236 i took the test this morning i am 100% sure :))

5 0

3 years ago

Please help me find the answe asap

Andreyy89

Answer:

B

Step-by-step explanation:

the mean is calculated as

mean = $\frac{sum}{count}$

this year's mean = $\frac{7+3.3+2}{3}$ = $\frac{12.3}{3}$ = 4.1

last year's mean = $\frac{5.3+1.6+2.4}{3}$ = $\frac{9.3}{3}$ = 3.1

difference = 4.1 - 3.1 = 1

4 0

2 years ago