Answer:
a) 8/729
b) 728/729
c) 1/729
d) 1/9
Step-by-step explanation:
The detailed step is as shown in the attachment.
Answer: 54 cm²
<u>Step-by-step explanation:</u>
Area of the big triangle minus the area of the small triangle will give you the area of the shaded region.
![\text{Area of big triangle}=\dfrac{base\cdot height}{2}\\\\A=\dfrac{24\times 6}{2}\\\\.\quad =12\times 6\\\\.\quad = 72](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20big%20triangle%7D%3D%5Cdfrac%7Bbase%5Ccdot%20height%7D%7B2%7D%5C%5C%5C%5CA%3D%5Cdfrac%7B24%5Ctimes%206%7D%7B2%7D%5C%5C%5C%5C.%5Cquad%20%3D12%5Ctimes%206%5C%5C%5C%5C.%5Cquad%20%3D%2072)
![\text{Area of small triangle}=\dfrac{base\cdot height}{2}\\\\A=\dfrac{12\times 3}{2}\\\\.\quad =6\times 3\\\\.\quad = 18](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20small%20triangle%7D%3D%5Cdfrac%7Bbase%5Ccdot%20height%7D%7B2%7D%5C%5C%5C%5CA%3D%5Cdfrac%7B12%5Ctimes%203%7D%7B2%7D%5C%5C%5C%5C.%5Cquad%20%3D6%5Ctimes%203%5C%5C%5C%5C.%5Cquad%20%3D%2018)
Big - Small = Shaded
72 - 18 = Shaded
54 = Shaded
Answer:
m = 2
c = -3
Explanation:
Equation of Line ⇒ y = mx +c
y = 2x - 3
m = 2
c = -3
Area = Length * Width
18 = 3 * x
You could also do 18 ÷ 3 = x
What is x?
Answer:
A≈7563.59
Step-by-step explanation:
Using the formulas
A=πrl+πr2
l=r2+h2
Solving forA
A=πr(r+h2+r2)=π·27·(27+562+272)≈7563.59277