Select the correct answer

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

or

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

so

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

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

or

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

so

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

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

I’M MARKING BRAINLIEST!!!! <br><br> Plsss help!!!

ddd [48]

Answer: go over 3 up 1

Step-by-step explanation: so like go to 3 then go up 1. Then go 3 more then up 1. Should be right I apologize if I’m wrong but I should be right!

6 0

3 years ago

Read 2 more answers

3 Slips of paper are numbered 1 through 10. If one slip is drawn and replaced 40 times, how many times should the slip with numb

andrey2020 [161]

Answer: P(draw a 10) = 1/10

-----

P(draw a 10 ten times with replacement) = (1/10)^10 = 1/10000000000

Step-by-step explanation:

8 0

4 years ago

63% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a pr

finlep [7]

Answer:

a. 0.00069

b. 0.063

c.0.00095

Step-by-step explanation:

a. Probability that exactly 5 men consider themselves professional baseball fans:-

Here, there's a 63/100 or 63% possiblity that five (5) men consider themselves fans and of course, a 37/100 possibility that the other 5 men consider themselves non fans. Each of these must be multiplied and then the result will be the probability that exactly five men consider themselves baseball fans:-

(63/100)^5 × (37/100)^5

= 0.09924 × 0.006934

= 0.000688

Therefore the probability that 5 consider themselves baseball fans is 0.00069

b. The probability that at least 6 are fans:-

In this case, each of the 6 men have some 63/100 or 63% possibility of being a fan.

We therefore multiply 63/100 by itself up to six times

i.e 63/100 × 63/100 × 63/100 × 63/100 × 63/100 × 63/100

or (63/100)^6

= 0.06252

The probability that at least 6 men consider themselves professional baseball fans is 0.063

c. Probability that less than four consider themselves baseball fans:-

In this scenario, it means that at least 7 men out of the ten do not consider themselves professional baseball fans. We then simply multiply 37/100 by itself up to seven times. It isn't too necessary what the remaining three are.

= (37/100)^7

= 0.0009493

Therefore the possibility that less than four men do not consider themselves baseball fans is 0.00095

8 0

4 years ago

PLEASE HELP!!!!!!!!!!!!!!

Alborosie

Answer:

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Step-by-step explanation:cgvugduvgsduvduivauiduvdjuagBJUigayifadyiafiaysvcfihafvhcjvzkihcvakjcagbjukazihyfvdhsukdfgvucxkcasyicdfyashhyjcuagbukcfgajfkudxaykhcjyauxgdhjxbzj

3 0

3 years ago