Answer:
4x+4x+42+2x-12=180 Degrees (Angle Sum of a Triangle)
10x+30=180
10x=150
x=15
Step-by-step explanation:
Hope this helps! You will always be forgiven if you change. :)
Answer:
8 hours
Step-by-step explanation:
basic equation
Q (flow rate) = V (volume)/ t (time)
so to find the time we just rearrange the equation and become
t = V/Q
V of cylinder
V = πr²T
and r (radius) = ½ diameter
V = 3.14 x 5² x 1.4
V = 109.9 m³
if the Q is 13 m³/hour then
t = 109.9/13 = 8.453 hours
round to nearest hour = 8 hours
Simple, rewrite this equation, in y=mx+b form.
Move over the 5x, making it look like, -y=-5x+14
Then, just simply divide by the negative one in front of the y.
y=5x-14.
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
