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Answer:
a=9
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2
a^2 +40 ^2 = 41^2
a^2 + 1600 = 1681
a^2 = 1681-1600
a^2 = 81
Take the square root of each side
sqrt(a^2) = sqrt(81)
a = 9
Formula
2*(L + W) = L * W
Given
W = 3
Solution
2*(L + 3) = 3*L
2L+ 6 = 3L Subtract 2L from both sides
2L - 2L + 6 = 3L - 2L combine
6 = L
Answer: The length is 6 units long.
Answer:
Velocity = 59 feet/second
Step-by-step explanation:
h(t) = 15 + 60t – 16t2
Time t = 1 second
Let's substitute time into the equation to get the distance
h(t) = 15+60(1)-16(1)²
h(t) = 15 + 60 - 16
h(t) = 59 feet
Speed or velocity = distance/time
Distance = 59 feet
Time = 1 second
Velocity = 59/1
Velocity = 59 feet/s
111) 5:4
112) 3.6
113) -4
114) 0.3 units down, 0.4 units to the left
