Answer:
5
Step-by-step explanation:
Subtract 7-2=5.
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
Answer:
3x - 3
Step-by-step explanation:
(x + 4) + (2x - 7) =
The first step is to drop the parentheses since they are unnecessary.
= x + 4 + 2x - 7
Now group like terms together.
= x + 2x + 4 - 7
Combine like terms.
= 3x - 3
Answer:
Width = 16 cm
Length = 12 cm
Step-by-step explanation:
Let the width of the rectangle be represented as x
Width = x cm
Length = (x - 4) cm
Area = L*W = 192 cm²
Thus:
x * (x - 4) = 192
x² - 4x = 192
x² - 4x - 192 = 0
Factorize
x² - 16x + 12x - 192
x(x - 16) +12(x - 16)
(x - 16)(x + 12)
x = 16 or x = -12
Width cannot be a negative number, therefore, the width of the rectangle = x = 16 cm
Width = x = 16 cm
Length = (x - 4) cm = (16 - 4) = 12 cm
The answer would be: 17/4
