This prism has a right triangle for a base. What is the volume of the prism?

length = 6 x 1/3 = 2 inches

width = 4 x 1/3 = 4/3 inches

height = 8 x 1/3 = 8/3 inches

volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches

Another approach is the following:

There are 6 x 4 x 8 = 192 cubes inside the prism,.

Each cube has a volume of 1/27 cubic inches.

Therefore total volume = 192 x 1/27 = 192/27 = 64/9

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet