What are the factors of the expression (y-2(x+3

Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.

Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

$V=\pi r^{2}h\\V=volume\\r=radius\\h=height$

Now, you plug in and solve.

$V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6$

Then, you find the volume of the dome.

Here's the formula:

$volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius$

Now, you just plug in and solve.

$V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2$

Finally, you add them together, and there's your answer!

$1204.6+781.2=1985.8$

Hope this helped!

<em>brainliest?</em>

8 0

3 years ago

At a butcher store, 5 1/2 pounds of hamburger meat are divided into 11 equal packages. How many pounds of meat will each package

Alex787 [66]

Answer:

each pack is 1/2 pound

Step-by-step explanation:

5.5 is 1/2 of 11

5.5/11=1/2

6 0

3 years ago

Read 2 more answers

12. The results of an election for mayor are shown

Zinaida [17]

Answer:

Assuming the group of the candidates is ordered the same way as the votes they received, Margaret O'Conner received the MOST votes, at 12,926, while Leonard Hansen received the LEAST votes, at 12,409.

7 0

3 years ago

Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Alisiya [41]

Answer:

x ≈ 9.5 , y ≈ 15.3

Step-by-step explanation:

sin32° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{18}$ ( multiply both sides by 18 )

18 × sin32° = x , then

x ≈ 9.5 ( to the nearest tenth )

cos32° = $\frac{adjacent}{hypotenuse}$ = $\frac{y}{18}$ ( multiply both sides by 18 )

18 × cos32° = y , then

y ≈ 15.3 ( to the nearest tenth )

5 0

3 years ago

You have$560 in an account which pays 4.8% compounded annually. If you invest your money for 8 years, then how many dollars of i

SCORPION-xisa [38]

Answer:

$ 254.85

Step-by-step explanation:

Total amount invested = $ 560

Interest rate = r = 4.8% = 0.048

Time in years = t = 8 years

The formula for compound interest is:

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

Here,

A is the total amount accumulated after t years. P is the amount invested initially and n is the compounding periods per year. Since in this case compounding is done annually, n will be 1. Using the values in the above formula, we get:

$A=560(1+\frac{0.048}{1})^{8} = \$ 814.85$

Thus, the total amount accumulated after 8 years will be $ 814.85

The amount of interest earned will be:

Interest = Amount Accumulated - Principal Amount

Interest = $ 814.85 - $ 560 = $ 254.85

By the end of 8 years, $ 254.85 would be earned in interest.

7 0

3 years ago