-6 and -6 multiply to get 36 but add to get -12.
Hope this helps!
14. 5n - 4 = 8
5n = 12
n = 2.4
15. 3x + 5 - 4x = -3
-x + 5 = -3
-x = -8
x = 8
16. 96 = -6(-4 - 3y)
96 = 24 + 18y
72 = 18y
4 = y
17. 3(x - 5) = -14 + 17x
3x - 15 = -14 + 17x
-11x - 15 = -14
-11x = 1
x = -0.0909
18. 7z + 10 - z = 8z - 2(z - 5)
6z + 10 = 8z - 2z + 10
6z + 10 = 6z + 10
6z = 6z
z = z (all real numbers are solutions)
Hope this helps.
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
The answer is 6/x^2
hope that helped!
Answer:
9
Step-by-step explanation:
60 requests are made.
Spencer gets 25% of these requests. Convert this to a decmal (divide by 100) to get 0.25. 25% of 60 is:

So Spencer gets 15 requests. Now do the same process for Tanvi:

So Tanvi gets 6 requests. To find out how many more requests Spencer gets compared to Tanvi:

Therefore, Spencer gets 9 more requests than Tanvi.