All categories

4 years ago

A box has a length of 5 cm, a width of 10 cm, and a height of 2 cm. The volume of the box is

1 answer:

5 0

Volume of Cuboid = l * w * h
Substitute their values,

V = 5 * 10 * 2
V = 100 cm³

So, your final answer is 100 cm³

Hope this helps!

You might be interested in

Which expression represents "five less than twice a number"? Also can you please tell me why.

notsponge [240]

Lets assume the number be x so by the problem 2x -5 is the answer.

6 0

3 years ago

For the functions f(x)=−7x2−x and g(x)=9x2−4x, find (f−g)(x) and (f−g)(1).

siniylev [52]

Step-by-step explanation:

f(x) = -7x² - x

g(x) = 9x² - 4x

(f - g)(x) = (-7x² - x) - (9x² - 4x)

(f - g)(x) = (-7x² - 9x²) + (-x + 4x)

(f - g)(x) = -16x² + 3x

(f - g)(1) = -16(1)² + 3(1)

(f - g)(1) = -16.1 + 3

(f - g)(1) = -16 + 3

(f - g)(1) = -13

6 0

3 years ago

A circle with area 81ㅠ has a sector with a central angle of 120°.

Mrac [35]

Answer:

Step-by-step explanation:

We have the area of a circle

$A_O=81\pi$

The sector with a central angle of

$120^o$

Calculate, what part of 360° is an angle 120°:

$\dfrac{120^o}{360^o}=\dfrac{1}{3}$

The same part of an area of a circle is an area of a segment.

Therefore:

$A_S=\dfrac{1}{3}\cdot81\pi=27\pi$

Use π ≈ 3.14

$A_S\approx(27)(3.14)=84.78$

4 0

4 years ago

Jamal wrote the inequality x/16 <6 . Which situation best represented by this inequality Helpppppp

Wittaler [7]

Given problem;

Inequality equation;

$\frac{x}{16}$ < 6

Before we solve, let us first translate this problem.

It simply states that for what value(s) of x will the expression be less than 6.

To find this value, we can simply carry out the normal mathematical simplification.

Simply multiply both sides by 16 to reduce the fraction;

16 x ( $\frac{x}{16}$ ) < 6 x 16

On the left hand side, 16 will cancel out;

x < 96

Any value for which x is less than 96 will make the solution of this problem less than 6.

For example, 95;

$\frac{95}{16}$ = 5.93

This value is less than 6

4 0

3 years ago

An amount of 45,000 is borrowed for 12 years at 4.25% interest, compounded annually. If the loan is paid in full at the end of t

alukav5142 [94]

Answer:

The answer to your question is $79,749, to the nearest dollar.

Step-by-step explanation:

45 thousand dollars at 4.5 percent compounded annually for 13 years?

After one year the loan would accrue 4.5% interest, which is 0.045 times $45,000 dollars. Added to the base ($45000) this is (1 + 0.045)* $45,000, or $47,025. (Just over two thousand dollars interest.)

After two years we do this again with the new base, so it is $47,025 times (1.045), or $45,000 times (1.045) times (1.045) which can be written:

45000(1.045)2=49141.125 dollars.

You can see where this is going, I hope. After the thirteenth year we get:

45000(1.045)13≏79,748.8243759089 dollars.

7 0

3 years ago