Answer:
131 1/2 miles per gallon
Step-by-step explanation:
52 1/2 × 2 1/2 = 131 1/2
<h3>
Answer: C) I and II only</h3>
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Work Shown:
Part I
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Part II
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Part III
Perpendicular:
(50-1)/6-6= slope=undefined= vertical line
y-17=0(x-14)
y-17=0
y=17
Parallel:
since line 1 is vertical we need another vertical line in order for them to be parallel so the line is x=- 4
Answer:
t=0 and t=5
Step-by-step explanation:
5t = t^2
Subtract 5t from each side
5t-5t = t^2 -5t
0= t^2 -5t
Factor out a t
0= t(t-5)
Using the zero product property
t=0 and t-5 =0
t=0 and t-5+5=0+5
t=0 and t=5
Answer:
He stepped back 59.71 feet.
Step-by-step explanation:
Start by making 2 triangles. One has 68 degrees as the acute angle at the base of the triangle and the other has 41 degrees as the acute angle at the base of the triangle. The side opposite of said angle on both triangles will be 80, the height of the tree. You're solving for the bottom (horizontal) side for both triangles.
For the triangle with an acute base angle of 68, the formula to solve for the horizontal side is tan(68) = 80/x.
Get x by itself to get 80/tan(68) = x
x = 32.32.
For the next triangle, the equation is the same but the angle is changed to 41.
tan(41) = 80/x
80/tan(41) = x
x = 92.03
Finally, subtract the smaller distance from the larger:
92.03 - 32.32 = 59.71 steps.
