Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>
A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>
A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.
Answer:
Therefore the rate change of height is m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.
The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is
Differentiating with respect to t.
Putting the value
The rate change of height does not depend on the height.
Therefore the rate change of height is m/s.
Answer:
it didnt pop up the first time to answer
Step-by-step explanation:
go to de sm os and type in the equation and it will give you everything you need
Answer:
The maximum length of the second piece is 61.5 ft.
Step-by-step explanation:
We know that the rope is 100 ft long.
There are three pieces that make up the 100 ft. The first is length x, the second is three times as long as the first, so it would be 3x, and the third is 18ft.
So if we were to write this as an equation it would look something like this: x + 3x + 18 = 100. We can simplify this some more.
4x + 18 = 100
4x = 82
x = 20.5
Now that we know the length or the first piece / x. We can easily find the length of the second (3x) by plugging in 20.5 for x.
We find that the maximum length of the second piece of rope is 61.5 feet.
Good luck, hope that helps!