By the Pythagorean theorem
50^2 = x^2 +(x +34)^2
2500 = 2x^2 +68x + 1156
x^2 +34x -672 = 0
(x -14)(x +48) = 0
x = 14 or -48
The distance from the wall to the base of the ladder is 14 ft.
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7-24-25 is a Pythagorean triple. The dimensions here are double those values. It can be handy to know a few of the Pythagorean triples, as that can let you write down the answers to problems without having to go through the equations.
Answer:
Step-by-step explanation:
20/12 = 1 2/3
30 ÷ 1 2/3
= $18
So we know that the bag has total 15 cookies, and 1 cookie that does not have any raisin. Finally, the probability that one cookie won't have any raisin is 1/15 or 7 percent. Hope it help!
Answer:
1/16
Step-by-step explanation:
Each coin flip is an independent event so the probabilities are independent
P(T,H,T,H) = P(T) P(H) P(T) P(H)
= 1/2 * 1/2 * 1/2 * 1/2
= 1/16
