ASAP!!! if my grade is a 91% and i get a 74% what will my grade be
2 answers:
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Answer:
Hence, option: B is correct (11.02 seconds)
Step-by-step explanation:
Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.
Now we are asked:
How long does it take for the ball to reach the ground?
i.e. we have to find the value of t such that height is zero i.e. h(t)=0.
or
i.e. we need to find the roots of the above quadratic equation.
on solving the equation we get two roots as:
t≈ -3.02377 and t≈11.0238
As time can't be negative; hence we will consider the value of t as t≈11.0238.
Hence it takes 11.02 seconds for the ball to reach the ground.
Hence option B is correct (11.02 seconds).
Answer:
Step-by-step explanation:
Width of the sign made by Darius initially = 2 feet
Length of the sign = 2 feet 6 inches
Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.
In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.
Since, 1 feet = 12 inches
Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches
Width of the sign = 2 feet = 2(12) inches = 24 inches
Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.
So, the scale factor would be:
Length of Flyer : Length of Sign
= 10 inches : 30 inches
= 1 : 3
=
This shows, the length of flyer is times as that of the sign. So, the scale factor that Darius must use is
. The length and width of the flyer are
as that of the sign.
The same scale factor would result if we would have used the ratio of widths instead of the lengths.
Scale Factor = Width of Flyer : Width of sign
= 8 : 24
= 1 : 3
Therefore, Darius must type the scale factor of in his computer to get the size of the flyer.