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:
Answer 1. 5 Answer 2. 60 Answer 3. 37
Step-by-step explanation:
Answer:
50°
Step-by-step explanation:
180° - 130° = 50°
Mark my answer as the brainliest if this helped! :)
There are 514 gram rice in each container.
Step-by-step explanation:
Given,
Amount of rice = 6 kg
1 kg = 1000 g
6 kg = 6*1000 = 6000 g
Number of containers = 10
Rice left = 860 g
Let,
x be the amount in each container.
Total amount of rice - Number of containers*Amount in each container = Amount of rice left
![6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140](https://tex.z-dn.net/?f=6000-10x%3D860%5C%5C6000-860%3D10x%5C%5C5140%3D10x%5C%5C10x%3D5140)
Dividing both sides by 10
![\frac{10x}{10}=\frac{5140}{10}\\x=514](https://tex.z-dn.net/?f=%5Cfrac%7B10x%7D%7B10%7D%3D%5Cfrac%7B5140%7D%7B10%7D%5C%5Cx%3D514)
There are 514 gram rice in each container.
Keywords: linear equation, division
Learn more about division at:
#LearnwithBrainly
Ahh I’m not smart so imma just guess not saying it’s right . 24 in?