A contestant on a game show receives -25 points for each wrong answer. What integer represents the change in points after 3 wron
1 answer:
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Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse , perpendicular
, and base
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.
Answer:
30%
Step-by-step explanation:
first we require both quantities to have the same units
converting both to minutes
1 h 3 min = 60 + 3 = 63 min
3h 30 min = (3 × 60) + 30 = 180 + 30 = 210 min
then express as a fraction and multiply by 100% to express as a percentage
× 100%
= 0.3 × 100%
= 30%