Answer:
<em>-1</em>
Step-by-step explanation:
1. A water wheel rung’s height as a function of time can be modeled by the equation:
h - 8 = -9 sin6t
(b) Determine the maximum height above the water for a rung.
Given the rung's height modeled by the equation;
h - 8 = -9 sin6t
h(t) = -9sin6t + 8
At maximum height, the velocity of the rung is zero;
dh/dt = 0
dh/dt = -54cos6t
-54cos6t = 0
cos6t = 0/-54
cos6t = 0
6t = cos^-1(0)
6t = 90
t = 90/6
t= 15
Substitute t = 15 into the expression to get the maximum height;
Recall:
h(t) = -9sin6t + 8
h(15) = -9sin6(15) + 8
h(15) = -9sin90 + 8
h(15) = -9(1)+8
h(15) = -9+8
<em>h(15) = -1</em>
<em>hence the maximum height above the water is -1</em>
Answer:
100⁰
because this is a quadrilateral inscribed in the circle
=> x + 80 = 180
<=> x = 180 - 80 = 100⁰
Answer:
fourth option
Step-by-step explanation:
Given
f(x) = (x + 1)(x + 4)(x - 7)
To find the x- intercepts let f(x) = 0, that is
(x + 1)(x + 4)(x - 7) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
x - 7 = 0 ⇒ x = 7
x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )
The tangent of the angle is
... tan(α) = ay/ax = -8.6/6.1
Then the angle (measured CCW from +x) is
... α = arctan(-86/61) ≈ 305°
The answer should be B! Hope this helped :)
