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3 years ago

Which property justifies the equation 0.5 (8.4 - 1.6) = 0.5 (8.4) - 0.5 (1.6) ? Help please

Mathematics

1 answer:

balandron [24]3 years ago

5 0

Answer:

i think distributive

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1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.

diamong [38]

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

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

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

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

we have

$x=972\ cm^3\\y=36\ cm^3$

substitute

$z^3=\frac{972}{36}$

Simplify

$z^3=27\\z=3$

therefore

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

$z^2=\frac{x}{y}$

we have

$x=594\ cm^2$

$z=3$

substitute

$3^2=\frac{594}{y}$

solve for y

$y=\frac{594}{9}=66\ cm^2$

therefore

The surface area of the smaller prism is 66 square centimeters

6 0

3 years ago

a square foot of metal is 49 feet2 what is the length of each side of the sheet metal. what is the perimeter

riadik2000 [5.3K]

Take the square root of 49 which is 7 (the length of each side), then multiply 7 by the number of sides which is 4, so you would get 28 as the perimeter. Hope this helps :)

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4 years ago

If john spent 100 dollars more than peter, how much did both spend?

GREYUIT [131]

Not enough information???

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3 years ago

6,132 ÷ 203= Divide. Enter a solution as a mixed number

Marat540 [252]

Answer:

30.2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which of the following best describes the ordered pairs listed below?

AURORKA [14]

The answer is B.)

This is because Since there is one value of y

for every value of x in (-1,-3),(3,-7),(7,-11),(9,-13) , this <u>relation</u> is a <u>function</u>.

IF YOU LIKE MY ANSWER PLS GIVE ME BRAINLIEST!!

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4 years ago