Use the pythagorean theorem since it's a right triangle. 12 + r is the hypotenuse and r and 24 are the legs so r squared + 24 squared = (12 + r) squared. Simplify and get r squared plus 576 equals r squared + 24r +144. Subtract r squared from both sides and then subtract 144 from both sides. You're left with 432=24r. Divide both sides by 24. r=18
Cos^2x - 2cosxcosx + sin^2x = 1 - 2sin x cosx
So cos^2x + sin^2x = 1
Answer:
slope is 1
Step-by-step explanation:
take the two ys and subtract and take the two xs and subtract and then put y/x
Hope this helps! :)
9514 1404 393
Answer:
3.88%
Step-by-step explanation:
The probability that 1 is defective and 3 are not (out of four) is ...
P(1 of 4) = 4(0.01)(0.99)^3 ≈ 0.0388 = 3.88%
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The multiplier of 4 comes from the number of ways that 1 can be chosen from 4.
5% total increase, as 3 to 60 is 1/20 (5%)