Answer:
When we have a rectangle of length L and width W, the area is calculated as:
A = W*L
In this case, W = x, and the area is:
A = 2*x
Then we must have L = 2.
We know that the area of the window and the frame (together) is:
a = 2*x^2 + 12*x + 16
The area of the frame alone, will be equal to the difference between the area of both objects (a) and the area of the window alone (A)
area of the frame = a - A
= (2*x^2 + 12*x + 16) - (2*x) = (2*x^2 + 10*x + 16)
This is the area of the frame
Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
Answer:
0
Step-by-step explanation:
i think sorry if wrong
It affect the sum by being the higher number
