70 ft per sec going upward 3 sec from 6 ft high should reach 216 ft, but unfortunately gravity is pulling it and at some point it starts to go backward (at 2.176 second), so to compensate the upward slowing down and distance dropped, use -32.176 times 3 square times 1/2 = -144.792 which is the natural drop distance if the football is released mid air without a initial speed after 3 seconds. 216 - 144.792 = 71.208 ft high.
Answer:
38: is A
39: is A
Step-by-step explanation:
Answer:
39 ft^2
Step-by-step explanation:
Find the area of the triangle and subtract the area of the square.
area of triangle = bh/2
area of square = s^2
shaded area = bh/2 - s^2
shaded area = (20 ft)(16 ft)/2 - (11 ft)^2
shaded area = 160 ft^2 - 121 ft^2
shaded area = 39 ft^2
<h3>
Answer: Choice B</h3><h3>
sqrt(3)/2, 1/2, sqrt(3)</h3>
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Explanation:
Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12
Sin(angle) = opposite/hypotenuse
sin(A) = BC/AB
sin(A) = 6sqrt(3)/12
sin(A) = sqrt(3)/2
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Cosine is the ratio of the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 6/12
cos(A) = 1/2
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Tangent is the ratio of the opposite and adjacent
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 6sqrt(3)/6
tan(A) = sqrt(3)
Answer:
$20
Step-by-step explanation:
Total cost of items bought
= $31.21 +$12.75 +$13.25
= $57.21
Remaining cost after paying $40
= $57.21 -$40
= $17.21
Amount borrowed
= change +$17.21
= $2.79 +$17.21
= $20
