Answer:
X=3
Step-by-step explanation:
Divide both sides by -5
B = 2 · A/h
b = 2 / 1 x 90 / 5 5/8 top times top, bottom times bottom (2 x 90, 1 x 5 5/8)
b = 180 / 5 5/8
b = 32
CHECK ANSWER BY INPUTTING AREA EQUATION AND FILL IN NUMBERS
A = height x base
----------------------
2
Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
Let the lenght perpendicular to street = x
Means lenght two sides will be x and x
Another side of retangle will be = 256 - 2x
Area of rectangle will be= A = x * (256-2x) = 256 x - 2 x^2
For maximum area, dA/dx = 0
d/dx (256 x - 2 x^2) = 0
256 - 4 x = 0
4 x = 256
x = 64 feet
Means one side is 64 feet
Another side will be = 256 - 2 * 64 = 128
Now we have two sides of rectangle 64 and 128
Area = 128 * 64 = 8192 square feet : Answer
Hope it will help :)
