Hello from MrBillDoesMath!
Answer:
@ = pi/3 (or 60 degrees) or @ = 7 pi/3 (or 420 degrees)
Discussion:
Let "@' denote the angle "theta". We are asked to find @ in the interval [0, 4 pi)
where
4cos(@) - 2 = 0. Adding 2 to both sides
4 cos(@) - 2 +2 = 2 =>
4 cos(@) = 2 Divide both sides by 4
cos(@) = 2/4 = 0.5
This implies that @ = pi/3 (or 60 degrees) or @ = (pi/3 + 2pi) = 7 pi/3 (or 420 degrees)
Thank you,
MrB
<span>(3/4)*x-6 = 15 // - 15
(3/4)*x-15-6 = 0
3/4*x-21 = 0 // + 21
3/4*x = 21 // : 3/4
x = 21/3/4
x = 28</span>
Indicated here when h(t) = 0, we are to find for the time where the football has reached a certain height.
Then, the values of t would be -0.2 and 2.7.
Since we are to look for the time, it is impossible for us to have an answer that has a negative value. So based from our answer, the solution that we will eliminate is the -0.2 one. Since its value is negative.
So, the correct value would be the 2.7 sec. one.
Answer: 76
Step-by-step explanation:
well, we know that 15% of the X is 12, so we first use 6 15%, which is 90% 6X12=72. next, we would use 12/3, which is 4. 72+4=76.