Ask question

Ask question

All categories

3 years ago

13

If the ratio of the edges of two cubes is 3:2, what is the ratio of the volume of the larger cube to the volume of the smaller o

ne?

1 answer:

natulia [17]3 years ago

6 0

Answer:

81 : 8

Step-by-step explanation:

Cube 1 has side lengths of 3, so it's volume is 3³ = 81

Cube 2 has side lengths of 2, so it's volume is 2³ = 8

So the ration of volume of the larger cube to the smaller cube is 81 : 8

You might be interested in

If tan theta = 10/13 and cos theta > 0 then sin2theta is what ?

svetoff [14.1K]

$sin2\alpha = \frac{260}{269}$

<u>Step-by-step explanation:</u>

We have , $Tan\alpha = \frac{Perpendicular}{Base} = \frac{10}{13}$ ,

We know that $sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }$

Substituting values of P & B , $sin\alpha = \frac{10}{\sqrt{10^{2} + 13^{2}} } = \frac{10}{\sqrt{269} }$

Now , $sin2\alpha = 2sin\alpha cos\alpha = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }$

⇒ $sin2\alpha =$ $\frac{10}{\sqrt{269} }$ × $\sqrt{1 - (\frac{10}{\sqrt{269} })^{2} }$ ×2

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} } )$

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} } )$

⇒ $sin2\alpha = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} } )$

⇒ $sin2\alpha = \frac{260}{269}$

6 0

3 years ago

For an employee training, the employee to instructor ratio is 24 to 2. If there are 26 instructors for the training, how many em

denpristay [2]

Answer:

312 employees participated in the training

Step-by-step explanation:

Given;

employee to instructor ratio is 24 to 2

there are 26 instructors for the training

let the total number of instructors be I = 26

let the total number of employees be e = ?

employee to instructor ratio is 24 to 2, e : I = 24 : 2

e : I = 24 : 2 = e : 26

$\frac{24}{2} = \frac{e}{26} \\\\e = 12 *26\\\\e = 312$

Therefore, the total number of employees who participated in the training is 312

8 0

3 years ago

Besides 12 and 1, what is one factor of 12

BabaBlast [244]

One factor of 12 is 2. The other factors of 12 are 3, 4, and 6.

8 0

4 years ago

Read 2 more answers

Officer Brimberry wrote 24 tickets for traffic violations last week, but only 21 tickets this week. What is the percent decrease

IrinaVladis [17]

Answer:3 percent because

5 0

3 years ago

What is the answer to the problem 21+40(2x-3)

12345 [234]

Answer:

x = 1.2375 or 99/90

Step-by-step explanation:

<u>Step 1: Distribute</u>

21 + 40(2x - 3)

21 + 80x - 120

<u>Step 2: Combine like terms</u>

21 + 80x - 120

80x - 99

<u>Step 3: Solve for x</u>

80x - 99 + 99 = 0 + 99

80x / 80 = 99 / 80

x = 1.2375

Answer: x = 1.2375 or 99/80

3 0

3 years ago

Read 2 more answers