To find the volume, first find the area of the triangle on top, which has a base of 10 and a height of 16. The area is 160 square units.

Mult. this area by the height of the solid, which is 4.

Then the volume of the solid is 640 cubic units.

8 0

3 years ago

If cosθ=3/5, find tanθ

krek1111 [17]

Answer and step-by-step explanation:

cos = adj/hyp (in a right triangle)

cos0 = 3/5

adj = 3

hyp = 5

opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)

tan0 = opp/adj = 4/3

6 0

2 years ago

Read 2 more answers

Use the formula for present value of money to calculate the amount you need to invest now in onelump sum in order to have $100,0

Vinil7 [7]

In order to determine the money you have to invest now to obtain $100,000 after 18 years, use the following formula:

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

where,

P: principal = ?

A: amount after t years = 100,000

r: APR in decimal form = 0.11 (11%)

n: times of the compounded interest at year = 4 (quarterly)

t: time = 18 (years)

Solve the equation above for P, replace the values of the other parameters and simplify:

$\begin{gathered} 100000=P(1+\frac{0.11}{4})^{4*18} \\ 100000=P(1.0275)^{72} \\ P=\frac{100000}{(1.0275)^{72}} \\ P\approx14181.04 \end{gathered}$

Hence, you need to invest approimately $14,181.04 to obtain $100,000 after 18 years.

5 0

1 year ago

On the coordinate plane, draw triangle ABC with vertices A(-3,3), B(-3,-3), C(1,-3). Find the area of the triangle in square uni

eimsori [14]

D:24 square units because u add all the units

3 0

2 years ago