Answer:
Step-by-step explanation:
2 tan(60) = 2 * (sqrt(3)/2 = sqrt(3)
1 + tan^2(60) = 1/cos^2(60) = 1//1/4 = 4
The answer is going to look a little convoluted but it should be correct.
The answer so far is sqrt(3) /4
sin(60) = sqrt(3)/2
of the 4, two is needed to get sqrt(3)/2
So far then we have sin(60)/2
If we multiply by 2 as in (sin(60)/2) we get just sin(60)
2* sqrt(3) /4 then = 2 sin(60)
13) The graph is a negative parabola. The flare shoots up and gravity pushes it back down. The flare hits the water when the height equals zero. To put it in simple words, <u>you are looking for are the x-intercepts.</u>
h = -16t² + 104t + 56
0 = -16t² + 104t + 56
0 = -8(2t² - 13t - 7)
0 = 2t² - 13t - 7
0 = 2t² + t - 14t - 7
0 = 2t( t + 1) - 7(t + 1)
0 = (2t - 7)(t + 1)
0 = 2t - 7 0 = t + 1
t = = 3.5 t = -1
Since time cannot be negative, disregard t = -1
Answer: t = 3.5 seconds
14) same as #13
h = -16t² + 64t
0 = -16t² + 64t
0 = -16( t² - 4)
0 = t² - 4
0 = (t - 2) (t + 2)
0 = t - 2 0 = t + 2
t = 2 t = -2 (disregard t = -2)
Answer: t = 2
Answer:
Step-by-step explanation:
Integrating each term with respect to x, we get:
x^3 x^2
f(x) = 9--------- + 4------- - 4x + C
3 2
We are told that if x = 0, f(x) = -7, and so C must equal - 7.
The solution is
x^3 x^2
f(x) = 9--------- + 4------- - 4x - 7, or f(x) = 3x^3 + 2x^2 - 4x - 7
3 2
6.25 for each kids ticket and 11.75 for each adult ticket
Yes, because if you were to figure out what x= you would get 15. Try any other numbers, and they do not work
6x+2=5x+17
6x=5x+15
X=15