Answer:
C
Step-by-step explanation:
it goes in 0.1
hope it helps
Answer:
x < 8
Step-by-step explanation:
Answer:
![(5\pi-11.6)\ ft^{2}](https://tex.z-dn.net/?f=%285%5Cpi-11.6%29%5C%20ft%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the sector minus the area of the triangle
step 1
Find the area of the circle
the area of the circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
![r=5\ ft](https://tex.z-dn.net/?f=r%3D5%5C%20ft)
substitute
![A=\pi (5)^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20%285%29%5E%7B2%7D)
![A=25\pi\ ft^{2}](https://tex.z-dn.net/?f=A%3D25%5Cpi%5C%20ft%5E%7B2%7D)
step 2
Find the area of the sector
we know that
The area of the circle subtends a central angle of 360 degrees
so
by proportion find out the area of a sector by a central angle of 72 degrees
![\frac{25\pi}{360}=\frac{x}{72}\\ \\x=72*25\pi /360\\ \\x=5\pi\ ft^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B25%5Cpi%7D%7B360%7D%3D%5Cfrac%7Bx%7D%7B72%7D%5C%5C%20%5C%5Cx%3D72%2A25%5Cpi%20%2F360%5C%5C%20%5C%5Cx%3D5%5Cpi%5C%20ft%5E%7B2%7D)
step 3
Find the area of triangle
The area of the triangle is equal to
![A=\frac{1}{2}(2.9+2.9)(4)= 11.6\ ft^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%282.9%2B2.9%29%284%29%3D%2011.6%5C%20ft%5E%7B2%7D)
step 4
Find the area of the shaded region
Subtract the area of the triangle from the area of the sector
![(5\pi-11.6)\ ft^{2}](https://tex.z-dn.net/?f=%285%5Cpi-11.6%29%5C%20ft%5E%7B2%7D)
Answer:
112in²
Step-by-step explanation:
Formulas: V =
, V = lwh
Sub: v = ![\frac{4 x 4 x 6}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%20x%204%20x%206%7D%7B3%7D)
Solve: 32
Sub: v = 4 x 4 x 5
Solve: 80
V = 80 + 32
V = 112
<u>The total volume of the figure is 112in²</u>
Answer:
Cone
Step-by-step explanation:
Rotation means the circular moment of an object about some axis or center.
In the given figure, the shape is rotated along the dashed line.
The size of the object remains same after rotation.
After rotating about the dashed line, we observe that the object formed is three- dimensional and is in the shape of a cone.