Y=mx+b, m= slope, b= y intercept, plug in. Y=3x+5
Answer:
D
Step-by-step explanation:
Call the first person A who can do the job in 5 hours.
Call the second person B who can do the job in 7 hours.
The formula for this problem is
Time = A*B/(A + B)
Time = 5*7 / (5 + 7)
Time = 35 / 12
Time = 2 hours and 11/12 of an hour.
The answer is D.
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<span>By the time firework a has been launched, firework b has already been launched for 0.25 seconds, so if we treat the two as equations, then
a = 220 (t)
b =</span> 220 (t) + 220 (.25)
<span>And we want to know when these two equal eachother, as that's they will both detonate.
220t = 200 t + 200 (.25)
20t = 50
t = 2.5</span>
Answer:
b = 20, c = 160
Step-by-step explanation:
b and 20 degrees are vertical angles, so they are equal.
b (20 degrees) and c are on a line together, so they add up to 180. 180 - 20 = 160 degrees
Answer:
- sin(θ) = -(4√15)/17
- cos(θ) = 7/17 . . . . . . . given
- tan(θ) = -(4√15)/7
- csc(θ) = -(17√15)/60
- sec(θ) = 17/7
- cot(θ) = -(7√15)/60
Step-by-step explanation:
The relationship between sine and cosine is ...
sin² + cos² = 1
Solving for sine gives ...
sin = ±√(1 -cos²)
In this problem, we want the negative root.
sin(θ) = -√(1 -(7/17)²) = -√(240/289) = -(4√15)/17
tan(θ) = sin(θ)/cos(θ) = ((-4√15)/17)/(7/17) = -(4√15)/7
___
And the inverse functions are ...
sec(θ) = 1/cos(θ) = 17/7
csc(θ) = 1/sin(θ) = -17/(4√15) = -(17√15)/60
cot(θ) = 1/tan(θ) = -(7√15)/60
_____
Of course, you're aware that 1/√15 = (√15)/15.
