QUESTION 6 Solve the problem.
A 12-ft. board is cut into 2 pieces so that one plece is 8 feet longer than 3 times the shorter plece. If the shorter piece is x feet long, find the lengths of both
pieces by solving the equation x + (3x + 8) = 12.
O shorter plece: 6 ft; longer piece: 36 ft
shorter plece: 24 ft; longer piece: 44 ft
shorter piece: 28 ft; longer piece: 36 ft
O shorter piece: 1 ft; longer piece: 11 ft

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

image for option 4

step-by-step explanation:

i just know the internet

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²