Makes a manifesto where it expresses a commitment for the respect and tolerance for the other and the other

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

it takes approximately 1200 KG of coal to produce the energy needed to make 1 kg of aluminum is a single soda can requires 15 g

Pavel [41]

see so,1200 kg of coal=1kg of aluminum

if 1 soda can needs 15g of aliminium so

1200/15=80kg coal will be needed for 1 can of soda.

4 0

3 years ago

A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as

abruzzese [7]

Answer:

88

Step-by-step explanation:

5GP= BP

2BNP= GNP

BP+BNP=333

GP+GNP=225

BNP= 333-BP

BNP= 333-5GP

GP= 225-GNP

GP= 225-2BNP

BNP=333-5(225-2BNP)

BNP=333-1125+10BNP

-9BNP=-792

BNP=88

Hope it helps :)

Mark Brainliest if possible.

7 0

4 years ago

Read 2 more answers

A factory employs over 3000 workers, of whom 30% are women. If the 15 members of the union executive committee were chosen from

ira [324]

Answer:

I think 4000 worker and I will be there at some point today and I

5 0

3 years ago

Find the value of x.

SashulF [63]

Answer:

46º

Step-by-step explanation:

triangle = 180º

straight line = 180º

180-140=40

40+94=134

180-134=46

4 0

3 years ago

Read 2 more answers