The sin ratio is the side opposite the reference angle over the hypotenuse. If Z is our reference angle, then the side opposite it has a length of 32. The hypotenuse has a length of 40. Therefore, the sin of Z = 32/40. We will reduce that to sin Z = 4/5. First choice above.
The answer is A. When 0.7 is put into fraction form it turns into 7/10. Then change the denominator of 3/5 to 10 which makes it 6/10. 7/10 is higher than 6/10 so the answer is A.
Answer:
Step-by-step explanation:
Recall that we say that d | a if there exists an integer k for which a = dk. So, let d = gcd(a,b) and let x, y be integers. Let t = ax+by.
We know that so there exists integers k,m such that a = kd and b = md. Then,
. Recall that since k, x, m, y are integers, then (kx+my) is also an integer. This proves that d | t.
Suppose you can factorize:
Then by expanding the right side, you have
which means in this case, you have to have
It hits the ground at h=0
0=-16t^2-16t+96
undistribute -16
0=-16(t^2+t-6)
factor
0=-16(t-2)(t+3)
set to zero
0=t-2
2=t
t+3=0
t=-3, nope, we can't have negative time
at t=2, or 2 seconds