Answer:
x = 10, theta = 30 degrees
Step-by-step explanation:
i. 6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.
You could also solve it with the law of sines:
sin(90)/12 = sin(x)/6
Multiply each side by 6
6 * sin(90)/12 = sin(x)
0.5 = sin(x)
x = 30 degrees
The function is symmetric in the line that goes trough the top. The top is on t=2.5 seconds. If you want to know on which time the height is equal to 15 feet, you draw a line on that height in the graph and see where it crosses. That is at t=1.25 and t=3.75
Answer:
if you wanted to know how long it would take for it to all be depleted it would be. 16 times noah can go on public transportation
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
1/12 - 5/6 = -9/12
We need to get a common denominator of 12
1/12 - 5/6*2/2 = -9 /12
1/12 - 10/12 = -9/12
Since the denominators are the same, we can subtract the numerators
1-10 = -9
-9/12 = - 9/12
We can simplify -9/12 by dividing the top and bottom by 3
-9/3 = -3
12 /3 = 4
-9/12 = -3/4
