P is 48
Q is 53
R is 22
S is 24
Answer:
20/29
Step-by-step explanation:
SOH CAH TOA
so its opposite/hyp...
20/29
is the answer
So we see the ratio of the sides of two similar octagons is 2:5 so let's say the first octagon has a side of 2 and the other has a side of 5. 2*8 = 16 and 5*8 = 40. 16:40 = 4:10 = and is again 2:5. So the answer is 2:5.
We have two congruent trapezoids.
The formula of an area of a trapezoid:
![A=\dfrac{base_1+base_2}{2}\cdot\ height](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7Bbase_1%2Bbase_2%7D%7B2%7D%5Ccdot%5C%20height)
We have:
![base_1=210\ mm\\\\base_2=150\ mm\\\\height=55\ mm](https://tex.z-dn.net/?f=base_1%3D210%5C%20mm%5C%5C%5C%5Cbase_2%3D150%5C%20mm%5C%5C%5C%5Cheight%3D55%5C%20mm)
Substitute:
![A=\dfrac{210+150}{2}\cdot55=\dfrac{360}{2}\cdot55=180\cdot55=9,900\ mm^2](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B210%2B150%7D%7B2%7D%5Ccdot55%3D%5Cdfrac%7B360%7D%7B2%7D%5Ccdot55%3D180%5Ccdot55%3D9%2C900%5C%20mm%5E2)
Answer:
![2A=2\cdot9,900\ mm^2=19,800\ mm^2](https://tex.z-dn.net/?f=2A%3D2%5Ccdot9%2C900%5C%20mm%5E2%3D19%2C800%5C%20mm%5E2)
Answer:
444
Step-by-step explanation:
111x4=444
25 percent is equal to 1/4