When the penny hits the ground, h will = 0.
So: Set h(t) = 0 = -4.9t^2 + 0t + 150 m
Then 4.9t^2 = 150, and so t^2 = sqrt(150 / 4.9) = plus or minus 5.53 sec.
We can use only the positive root, as we're measuring time.
t = 5.5 sec (answer)
Matt would get about $4 and 90 cents back from the clerk, since 10 dollars minus $5 and 10 cents equals $4 and 90 cents.
Answer:
c) three
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Step-by-step:
The tetrahedron is a triangular pyramid with equilateral triangles on each face.
Answer:
a) 3/12 = 1/4
b) 6/12 = 1/2
c) 9/12 = 3/4
Step-by-step explanation:
To find the distance traveled by the hour hand, subtract the beginning position from the ending position. For example, in a, the distance traveled between 4:00 and 7:00 is three hours. Since there are 12 total hours on a clock, the fraction would be 3/12 (traveled/whole revolution). Simplify further to get 1/4.
The other two problems are very similar to the explanation above. Treat the second problem's ending time as 14:00, since it is two hours after 12:00.
Hope this helps!