Answer:
180 ft²
Step-by-step explanation:
The figure is composed of 2 triangles and a rectangle between them
Calculate area of triangle on left
A = 
bh ( b is the base and h the perpendicular height ), thus
A = × 9 × 6 = 4.5 × 6 = 27 ft²
Area of rectangle = 12 × 9 = 108 ft²
Calculate the area of the triangle on the right
A = × 9 × 10 = 4.5 × 10 = 45 ft²
area of composite figure = 27 + 108 + 45 = 180 ft²
Answer: the answer is A
Step-by-step explanation:
Answer:
X = -2
Step-by-step explanation:
4x - 13x = 18
(4 - 13 = -9)
-9x = 18
Divide both sides by -9
x = -2
We are to solve for the value of the altitude of the given cylinder which has a radius of 5 feet and a lateral area of 70pi ft². To solve this we should recall that the formula in solving the lateral area of a cylinder is Lateral Area = 2pi*r*h. The solution is shown below:
r is equal to 5 ft
lateral area = 70pi
Solving for h, we have:
70pi = 2pi*5*h
70pi / 2pi = 5h
35 = 5h
divide both sides by 5, we have:
35/5 = 5h/5
7 = h
The answer for the length of the altitude is 7 feet.
