Answer:
21
Step-by-step explanation:
For this case, as you've got 1/6th, this will then mean that you have to multiply the bill (29) by 6, therefore, giving you 174.
Glenn's weekly allowance is $174
Answer:
angle FEA is 100°
angle AEC is 20°
angle CEG is 60°
Step-by-step explanation:
angle AEC=angle DEB=20°
angle AEG=angle FED=80°
80°-20°=60°; angle CEG=60°
angle FEA+angle AEC+ angle CEG=180°
angle FEA=100°
Answer:
19 - 8√3
Step-by-step explanation:
(-4 + √2)^2
= (-4)^2 + 2(-4)(√3) + √3)^2
= 16 - 8√3 + 3
= 19 - 8√3
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>
