Answer:
x = 71
Step-by-step explanation:
Given the triangle in red, we can find the unknown angle since the sum of the angles of a triangle are 180. Call the unknown angle GHI
B+ D+ GHI = 180
31+ 40 + GHI = 180
71 + GHI = 180
GHI = 180 -71
GHI = 109
We know that GHI + x = 180 since it forms a straight line
GHI + x =180
109 + x = 180
x = 180-109
x = 71
Answer: The solution set of the system of inequalities is the region above the dashed line (y=-2x-2) and below the solid line (y=x+4).
Please, see the attached graph.
Thanks.
the rock will be at 11 meters from the ground level after 5.92 seconds
Step-by-step explanation:
The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:
where
h = 23 m is the initial height
u = 27 m/s is the initial velocity, upward
is the acceleration of gravity, downward
t is the time
We want to find the time t at which the position of the rock is
y = 11 m
Substituting and re-arranging the equation, we find
This is a second-order equation, which has solutions:
So
The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.
Learn more about free fall:
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