Ask question

Ask question

All categories

3 years ago

6

Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie's cube

has a side length of 2 1/2 centimeters, what is the volume of her cube?

1 answer:

UNO [17]3 years ago

7 0

Answer:

15.625 cm^3

Step-by-step explanation:

$V=2.5^{3} \\V=2.5*2.5*2.5\\V=6.25*2.5\\V=15.625 cm^{3}$

You might be interested in

A rectangular box has faces with areas of 12,15, and 20 square units. What is the volume of the box?

miv72 [106K]

First find the side lengths of the box by factoring each area:

12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
20: 1, 2, 4, 5, 10, 20

Find 3 numbers that both have 2 sides have in common and can multiply to make the areas of the faces:

12: 3 * 4
15: 3 * 5
20: 4 * 5

Sides: 3, 4, and 5

Then multiply to get the volume:

3 * 4 * 5 = 60 units^2

6 0

3 years ago

Principal = $2,400<br> Rate = 4%<br> Time = 30 months

grandymaker [24]

Answer:

$240

Step-by-step explanation:

I = prt

I = (2,400) (0.04) (2.5)

note: I changed 4% to a decimal and 30 months to 2.5 years

I = 96 (2.5)

I = 240 <-- The interest

------------------------------------------------------------------------------------------------------------

The simple interest accumulated on a principal of $ 2,400.00 at a rate of 4% per year for 2.5 years (30 months) is $240.00.

---------------------------------------------------------------------------------------------------------

* Last time I did interest was in 6th grade and I don't remember much. So I am very sorry if my answer is wrong *

3 0

2 years ago

The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a

elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

$P(x)=-0.5x^2+23x+92$ -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

so

$PXx)\geq 225$ -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

4 0

3 years ago

Here's another Math one worth 10.

tia_tia [17]

<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The short leg is </span>the side opposite the 30 degree angle. If the short leg =x, then the hypotenuse = 2x

The ratio of the short leg to the hypotenuse in the given triangle is cos(60°)

$
cos(60^o) = \frac{adjacent \ side}{hypotenuse } = \frac{x}{2x} = \frac{1}{2}$

Answer is C. 1:2

7 0

2 years ago

The formula for the slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is m=?

Ad libitum [116K]

The formula to find the slope of a line is $\frac{y_{2} - y_{1}}{x_{2}-x_{1}}$ .

I'm not sure if my fraction looks right, so I'll add it in a separate attachment too.

3 0

3 years ago