Answer:
79.1 ft
Step-by-step explanation:
Draw a vertical segment about 3 inches tall. Label the upper endpoint A and the lower endpoint B. That is the cell phone tower. Starting at point B, draw a horizontal segment 1 inch long to the right. Label the right endpoint C. Connect C to A with a segment.
Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.
You are looking for the length of segment AC, the guy wire length.
Triangle ABC is a right triangle with right angle B.
Sides AB and BC are the legs, and side AC is the hypotenuse.
We can use the Pythagorean Theorem:
(leg1)^2 + (leg2)^2 = (hyp)^2
Let one leg be a, the other leg be b, and let the hypotenuse be c.
Then you have
a^2 + b^2 = c^2
We have a = 75 ft
b = 25 ft
We are looking for c, the length of the hypotenuse.
(75 ft)^2 + (25 ft)^2 = c^2
5625 ft^2 + 625 ft^2 = c^2
6250 ft^2 = c^2
c^2 = 6250 ft^2
Take the square root of both sides.
c = 79.0569... ft
Answer: 79.1 ft
-50 - (-221) = 171
This is because subtracting a negative number is like adding a positive version of that instead. For a more simple example:
5 - (-2) = 7 or 5 + 2 = 7
<span>Simplifying
9x + -2y = 19
Solving
9x + -2y = 19
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2y' to each side of the equation.
9x + -2y + 2y = 19 + 2y
Combine like terms: -2y + 2y = 0
9x + 0 = 19 + 2y
9x = 19 + 2y
Divide each side by '9'.
x = 2.111111111 + 0.2222222222y
Simplifying
x = 2.111111111 + 0.2222222222y</span>
V=(hπr^2)/3, π≈3.14, h=7, r=2
V≈29.3 cm^2
