Use the Pythagorean Theorm for right triangles where the squares of the two legs equal the square of the hypotenuse.
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20)
Plug in the known leg and hypotenuse.
![{15.3}^{2} + {b}^{2} = {35.6}^{2}](https://tex.z-dn.net/?f=%7B15.3%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7B35.6%7D%5E%7B2%7D%20)
Simplify by squaring.
![234.09 + {b}^{2} = 1267.36](https://tex.z-dn.net/?f=234.09%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%201267.36)
![{b}^{2} = 1033.27](https://tex.z-dn.net/?f=%20%7Bb%7D%5E%7B2%7D%20%20%3D%201033.27)
Isolate b by square rooting both sides.
![b = 32.14](https://tex.z-dn.net/?f=b%20%3D%2032.14)
The result is rounded
- the couple will have at least one boy
- the couple will have only girls
![P(A)=1-P(A')](https://tex.z-dn.net/?f=P%28A%29%3D1-P%28A%27%29)
![|\Omega|=2^4=16\\|A'|=1\\\\P(A')=\dfrac{1}{16}\\\\P(A)=1-\dfrac{1}{16}=\dfrac{15}{16}](https://tex.z-dn.net/?f=%7C%5COmega%7C%3D2%5E4%3D16%5C%5C%7CA%27%7C%3D1%5C%5C%5C%5CP%28A%27%29%3D%5Cdfrac%7B1%7D%7B16%7D%5C%5C%5C%5CP%28A%29%3D1-%5Cdfrac%7B1%7D%7B16%7D%3D%5Cdfrac%7B15%7D%7B16%7D)
Answer: 128 pages are text
Step-by-step explanation:
Let x be the length.
Then the perimeter is given by the formula : 2(20+x)=40+2x.
Area of the dance floor:
Answer:<u> 19 1/4 mph</u>
To find miles per hour divide the miles by the hours:
(12 5/6)/(2/3)
= (77/6)(3/2)
= 77/4
= 19 1/4 mph
Step-by-step explanation:
PLS MARK AS BRAINLIEST