Answer:
We know the angle given refers to the length of the opposite side.
Given angle = 82 and the opposite side = 34 so part of the relationship is
sin 82 / 34 = sin ( ) / ( )
We are also given one side = 27 and that side is opposite angle at C
so that part of the relationship is sin C / 27
sin 82 / 34 = sin C / 27
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).
Suzette ran for 1.5 hours and biked for 2.5 hours.
a. Let x = total hours Suzette ran.
Let y = total hours Suzette biked.
The equation to solve the question will be:
x + y = 4 ....... i
6.5x + 14y = 44.75 ....... ii
b. x + y = 4 ....... i
6.5x + 14y = 44.75 ....... ii
From equation i, x = 4 - y
Put x = 4-y into equation into equation ii
6.5x + 14y = 44.75
6.5(4 - y) + 14y = 44.75
26 - 6.5y + 14y = 44.75
Collect like terms
-6.5y + 14y = 44.75 - 26
7.5y = 18.75
Therefore, y = 18.75/7.5
y = 2.5
Therefore, she bikes for 2.5 hours
Since x + y = 4
x = 4 - y
x = 4 - 2.5
x = 1.5
She ran for 1.5 hours.
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Answer:
all correct
Step-by-step explanation:
Answer: it’s 3.5
Step-by-step explanation: