Answer:
22.7604763 degrees
Step-by-step explanation:
Note that the answer is NOT 20 degrees.
She adjusted the ramp to half the original <em>incline</em>
Therefore we have tan 40 = x = 0.839099631.
We want an incline of y degrees where tan y = x/2 = 0.839099631/2 = 0.419549815
Taking the arctan of both sides, we get
y = arctan(0.419549815) = 22.7604763 degrees
Let's call the younger student's age A and the older student's age B. The teacher's age will be T.
B = 2A
T = 5B
T+5 = 5(A+5)
Simplify the last equation.
T+5 = 5A+25
T = 5A+20
Now we have two equations solved for T, so we can set them equal to each other.
5B = 5A + 20
We can plug 2A in for B
5(2A) = 5A + 20
10A = 5A + 20
5A = 20
A = 4
To find T, we plug 4 in for A in T = 5A + 20
T = 5(4) + 20
T = 40
The answer is 40 years old.
Answer:
B
Step-by-step explanation:
Answer:
89
Step-by-step explanation:
to graph a LINEar equation, since it's just a straight line, recall, to draw a straight line all you need is two points.
so we can just pick two random "x" values, hmmmmm say x = 0, what's "y"?
y = 7(0)-7 => y = -7....................................... so that gives us the point (0, -7)
hmmm x = 2, what is "y"?
y = 7(2) - 7 => y = 14-7 => y = 7................. so we get the point (2, 7).
then just plot those, and run a line through them.
