Pythagorean theorem: a^2 + b^2 = c^2
36^2 + b^2 = 85^2
1296 + b^2 = 7225
b^2 = 7225 - 1296
b^2 = 5926
b = square root of 5929
b = 77 inches long
Answer:
Step-by-step explanation:
-1/4x>8
x>8/(-1/4)
x>(8/1)(-4/1)
x>-32/1
x>-32
x<-32
The answer is D.
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-3t+7>=9
-3t>=9-7
-3t>=2
t>=2/-3
t>=-2/3
t<=-2/3
The answer is A.
Area of the rectangular mat = 12 x 4 = 48 in²
Area of the 3 circles = 3( πr²) = 3(3.14 x 2²) = 37.68 in²
P(landing in a circle) = 37.68/48 = 157/200 = 0.79 (nearest hundredth)
Answer: The probability of landing in one of the circles is 0.79.
