Answer:
I believe there are 70 students in the theater!
Step-by-step explanation:
In the ratio 2:3 going to 28:? there is a pattern. You multiply 2 by 14 to get to 28, so if you multiply 3 by 14 you get 42. Add 42 to 28 for the total amount of students in class!
Have a nice night!
Answer:
Step-by-step explanation:
Answer:
Bruh Moment
Step-by-step explanation:
B R U H M O M E N T
Answer:
∠S = 21.10°
∠M = 79.45°
PM = 9.16
Step-by-step explanation:
Here Pythagorean theorem and trigonometry suffice to solve our problem.
From the Pythagorean theorem we get:
and
![(25-KM)^2+9^2=25^2.](https://tex.z-dn.net/?f=%2825-KM%29%5E2%2B9%5E2%3D25%5E2.)
We solve for
in the second equation and get:
![(25-KM)=\sqrt{25^2-9^2}](https://tex.z-dn.net/?f=%2825-KM%29%3D%5Csqrt%7B25%5E2-9%5E2%7D)
![\therefore KM=25-\sqrt{25^2-9^2} =\boxed{1.68}](https://tex.z-dn.net/?f=%5Ctherefore%20KM%3D25-%5Csqrt%7B25%5E2-9%5E2%7D%20%3D%5Cboxed%7B1.68%7D)
Now since
![SK+KM=25\\\\ SK=\boxed{23.32}](https://tex.z-dn.net/?f=SK%2BKM%3D25%5C%5C%5C%5C%20SK%3D%5Cboxed%7B23.32%7D)
Therefore
![{\angle}S=Tan^{-1}(\frac{PK}{SK}) = Tan^{-1}(\frac{9}{23.32})=21.10^o](https://tex.z-dn.net/?f=%7B%5Cangle%7DS%3DTan%5E%7B-1%7D%28%5Cfrac%7BPK%7D%7BSK%7D%29%20%3D%20Tan%5E%7B-1%7D%28%5Cfrac%7B9%7D%7B23.32%7D%29%3D21.10%5Eo)
and
![{\angle}M=Tan^{-1}(\frac{PK}{KM}) = Tan^{-1}(\frac{9}{1.68})=79.45^o.](https://tex.z-dn.net/?f=%7B%5Cangle%7DM%3DTan%5E%7B-1%7D%28%5Cfrac%7BPK%7D%7BKM%7D%29%20%3D%20Tan%5E%7B-1%7D%28%5Cfrac%7B9%7D%7B1.68%7D%29%3D79.45%5Eo.)
And finally again from the Pythagorean theorem:
![PM^2=PK^2+KM^2=9^2+1.68^2](https://tex.z-dn.net/?f=PM%5E2%3DPK%5E2%2BKM%5E2%3D9%5E2%2B1.68%5E2)
![\therefore PM=\sqrt{9^2+1.68^2} =9.16.](https://tex.z-dn.net/?f=%5Ctherefore%20PM%3D%5Csqrt%7B9%5E2%2B1.68%5E2%7D%20%3D9.16.)
Thus,
∠S = 21.10°
∠M = 79.45°
PM = 9.16.