Answer:
15.87 meters.
Step-by-step explanation:
We have been given a diagram of a circle and we are asked to find the length of segment YX.
We can see that line YX is tangent of our given circle and line VZ is secant of our circle.
To find the length of YX we will Tangent-Secant theorem, which states that the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.
Using Tangent-Secant theorem we can set an equation to solve for YX as:
![(YX)^2=9*(19+9)](https://tex.z-dn.net/?f=%28YX%29%5E2%3D9%2A%2819%2B9%29)
![(YX)^2=9*(28)](https://tex.z-dn.net/?f=%28YX%29%5E2%3D9%2A%2828%29)
![(YX)^2=252](https://tex.z-dn.net/?f=%28YX%29%5E2%3D252)
Let us take square root of both sides of our equation.
![YX=\sqrt{252}](https://tex.z-dn.net/?f=YX%3D%5Csqrt%7B252%7D)
![YX=15.874507866\approx 15.87](https://tex.z-dn.net/?f=YX%3D15.874507866%5Capprox%2015.87)
Therefore, the length of YX is 15.87 meters.
Answer:
The volume of the solid will be = 134.1 cubic units.
Step-by-step explanation:
The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.
Therefore, the solid will be the shape of a hemisphere.
Now, the radius of the hemisphere will be 4 units.
{Since the base of the hemisphere is on the xy-plane and have equation
x² + y² = 4²}
Therefore, the volume of the solid will be =
cubic units. (Answer)
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
b
89+30=119 180-119=61 degrees
The third angle is 61
Answer:
The best estimate would be C. 7 ft
Step-by-step explanation:
This is more of a logical question. When you think about a door, 7 inches is out. 7 yards would be 21 ft and that is unusually tall for a door, as is 70 feet.