Since we know the degrees of the circle is 360, add all of the pieces together and set equal to 360
Solving you get x = 15.
When plugging 15 back into each expression we get 90, 160, and 110.
This means the triangle sides are all different so the triangle is scalene.
The correct answer is the 2nd choice because -1/6 is closer to 0 and the surface of the pool would be considered 0. -4/6 is farther away from 0 so it is less.
60,000 would be the answer because it stays the same if under 5 it stays if above 5 rounds up once
Pumping iron: 10x+90=0
Fit for life: 15x+50=0
Set them equal to each other. 10x+90=15x+50. Solve for x. Subtract 50 from both sides, get 10x+40=15x, then subtract 10x from both sides, getting 40=5x. Divide 5 from both sides to isolate x, x=8. After 8 months the two gyms will cost the same.
The maximum compression of the spring is 0.276 m
Step-by-step explanation:
First of all, we calculate the spring constant of the spring, by using Hooke's law:

where
F = 10 kN = 10,000 N is the force applied
x = 1.25 cm = 0.0125 m is the corresponding compression of the spring
k is the spring constant
Solving for k,

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write
(1)
where
m is the mass of the truck
v = 2 m/s is the initial speed of the truck
is the spring constant
x is the compression of the spring
The mass of the truck can be found from its weight:

So now we can re-arrange eq.(1) to find the compression, x:

Learn more about kinetic energy:
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