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Answer: The area of the sector will be about 141.3 square inches.
First, we need to find the area of the entire circle. The formula is pi(r^2). Inputting 18 for the radius makes the area of the circle about 1017.36 square inches.
Now, we multiply by the area by the size of the sector. It is 50 degree out of the entire 360 degrees. That is about 13.9%.
Multiply 13.9% by 1017.36 to get an area of about 141.3 square inches for the sector.
Answer:
3
Step-by-step explanation:
check the picture below.
so the triangular prism is really just 3 rectangles and 2 right-triangles,
now, we know the base of one of the triangles is 2.6, what's its height?
since it's a right-triangle, we can simply use the pythagorean theorem to get "h".
so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.
![\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)} \\\\\\ 11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Btwo~triangles%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%282.6%29%284.5%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%282.6%5Ccdot%204.3%29%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%284.3%5Ccdot%203.9%29%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%284.3%5Ccdot%205.2%29%7D%0A%5C%5C%5C%5C%5C%5C%0A11.7%2B11.18%2B22.36%5Cimplies%20%5Cblacktriangleright%2045.24%20%5Cblacktriangleleft)
Answer:
The tree grew 15/64 meters per year.
Step-by-step explanation:
Given
- Length of a tree = 3/4 meters
- Total time taken by the tree to grow 3/4 taller = 3 1/5 or 16/5 years
To determine
Per year growth of the tree in meters
Per year growth of the tree in meters can be determined by dividing the total length of a tree i.e. 3/4 meters by the total time taken by the tree to get 3/4 taller.
Per year growth of tree = Total Length / Total time to grow
= 3/4 ÷ 16/5
= 3/4 × 5/16
= [3×5] / [4×16]
= 15/64 meters
Therefore, the tree grew 15/64 meters per year.
