The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.
The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.
The maximum profit the company can make is $640,000.
Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX = 
= 
= 
, then
∠ YZX = 
( ) ≈ 19.7° ( to 3 significant figures )
Answer:
8 inches
Step-by-step explanation:
The area of a triangle is ...
A = 1/2bh
Filling in the given values, we have ...
24 = 1/2b(6)
24/3 = b = 8 . . . . . divide by the coefficient of b
The base of each triangular quilt piece is 8 inches long.
P = Perimeter
L = Length
W = Width
Perimeter of rectangle = L + L + W + W
or P = 2L + 2W
You know:
P = 36 inches
L = 2W [length is(=) 2 times it's width]
W = ?
P = 2L + 2W
Substitute/plug in what you know, plug in 2W for L since L = 2W
36 = 2(2W) + 2W Simplify
36 = 4W + 2W
36 = 6W Divide 6 on both sides
6 = W Now that you know the width, you can find the length:
L = 2W
L = 2(6)
L = 12
L = 12 in
W = 6 in
PROOF
P = 2(12) + 2(6)
P = 24 + 12
P = 36
