I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]
cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1
cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1
cos^2 x - 0.5 cos x - 0.5 = 0
cos x = 1 , -0.5
giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)
because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.
The last 2 results dont fit so the answer is x = 0 , 2pi Answer
Y varies directly as x: y=kx, k is a constant.
when x=7, y=21, so we know k=3
therefore, the equation is y=3x
To get a certain percentage as a decimal, all you have to do is divide this percentage by 100.
Applying this on the given question, we will find that:
3.58% = (3.58) / (100) = 0.0358
Comparing the calculated value to the given choices, we will find that the correct choice is:
<span>c) 0.0358</span>
Answer:
0.25
Step-by-step explanation:
i used a caculator (sorry im terrible at spelling)
Answer:
5 seconds
Step-by-step explanation:
H= -16t2 + 400
Hit ground
H=0
0 = -16t2 + 400
0 = -16 ( t2 - 25)
-16
t2 -25 = 0
(t + 5)(t - 5) = 0
t + 5 = 0
- 5 -5
t = -5
t - 5 = 0
+ 5 +5
t = -5
t = 5
5 seconds to hit the ground
