Answer:
The answers would be 9 and 1.
Step-by-step explanation:
x= 5±√16 can be separated into two equations.
x=5+√16 and x=5-√16
1. 5+√16 can be solved by simplify √16, which is 4. So then it would become 5+4 which equals 9.
2. 5-√16 can be solved by simplifying √16 which is 4. So then it would become 5-4 which equals 1.
So the values of x are 9 and 1.
33-4(3)
33-12
21
The answer is 21
E + w = 50.....w = 50 - e
25e + 20w = 1090
25e + 20(50 - e) = 1090
25e + 1000 - 20e = 1090
25e - 20e = 1090 - 1000
5e = 90
e = 90/5
e = 18 <=== the east got 18
w = 50 - e
w = 50 - 18
w = 32 <=== the west got 32
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 is A. -2x + 3z
Reason
2x + y = 3z
If you subtract 2x from both sides to isolate “y”
2x -2x +y = -2x + 3z
Now combine like terms
You get
y= -2x + 3z
Problem solved
