<span>3/4x - 4/5 = 1/2x + 1
</span>3/4x - 4/5 = 2/4x + 1
3/4x - 2/4x = 1 + 4/5
1/4x = 9/5
x = (9x4) / (5x1)
x = 36/5
x = 7 1/5
Answer:
Step-by-step explanation:
Height h = 4.5 inches
Radius r = 3.4/2 = 1.7 inches
Area of base = πr² = 2.89π square inches
Volume of cylinder = πr²h = 2.89π4.5 = 13.0 cubic inches
Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as:
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

Multiply both sides by 80

Calculate sin(46) using a calculator (make sure it's in degree mode)

Simplify

Round this to the nearest foot
