Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
The length of the cable is approximately 32 feet
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
X=7
100-30=70
70/10
x=7
hope this helps
Answer:
units I THINK
Step-by-step explanation:
using the distance formula, -2 - 1 = -3
-3 x -3 = 9
-5 - 4 = -9 x -9 = 81
81 + 9 = 90
sqrt 90 simplified is .
so im pretty sure that's the answer.
