A building is in the shape of a cube. If the height of the building is 21 meters, what is its surface area?

Find the sum of the terms.

kow [346]

Answer:

C

Step-by-step explanation:

Given

$\frac{x}{x^2+3x+2}$ + $\frac{3}{x+1}$ ← factor the denominator of first fraction

= $\frac{x}{(x+1)(x+2)}$ + $\frac{3}{x+1}$

Multiply the numerator/ denominator of second fraction by (x + 2)

= $\frac{x}{(x+1)(x+2)}$ + $\frac{3(x+2)}{(x+1)(x+2)}$

The denominators are now common, so add the numerators leaving the denominator, that is

= $\frac{x+3x+6}{(x+1)(x+2)}$

= $\frac{4x+6}{(x+1)(x+2)}$ → with numerator 4x + 6 → C

5 0

3 years ago

Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins

AfilCa [17]

Answer:

h = p - l - w

Step-by-step explanation:

p = 4l + 4w + 4h Divide l, w, and h by 4

p = l + w + h Set the equation equal to h

h = p - l - w

5 0

3 years ago

Read 2 more answers

Question 1

Flauer [41]

Answer:

<em>Correct choice: b. $1221.00</em>

Step-by-step explanation:

<u>Compound Interest</u>

It occurs when the interest is reinvested on each compounding period. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

$A=P\left(1+{\frac {r}{n}}\right)^{nt}$

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The initial deposit on a savings account is P = $1000. The account provides an annual rate of r = 4% = 0.04 compounded monthly. The value of n is 12 since there are 12 months in a year. The money is left in the account for t=5 years. Substituting the values:

$A=\$1000\left(1+{\frac {0.04}{12}}\right)^{12*5}$