The two angles are vertical angles and are identical.
Set them equal to each other and solve for y:
5y = 115
Divide both sides by 5:
y = 115/5
y = 23
Answer: y = 23 degrees.
Answer:
H = h + x
h = 568 meters
Step-by-step explanation:
The helicopter descends 114 meters to be 454 meters above the ground.
Therefore, the equation which describes this situation using h as the original height will be given by
H = h + x ....... (1)
Where H is the final height from the ground and x is the height that the helicopter ascends(Positive sign) or descends(Negative sign). (Answer)
Here, in our case, H = 454 meters and x = -114 meters.
Therefore, the original height of the helicopter from ground will be
h = H - x = 454 - (-114) = 568 meters. (Answer)
<h2>Hello!</h2>
The answer is:
The domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
<h2>Why?</h2>
This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.
Composite function is equal to:
So, the given functions are:
Then, composing the functions, we have:
Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.
If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.
So, the domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
Have a nice day!
Answer:
19.44 hours, about 19 hours 26 minutes
Step-by-step explanation:
The exponential equation that describes your caffeine level can be written as ...
c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg
We want to find t for c(t) = 10, so ...
10 = 120(0.88^t)
10/120 = 0.88^t . . . . . . . divide by 120
log(1/12) = t·log(0.88) . . . take logarithms
t = log(1/12)/log(0.88) ≈ 19.4386
It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.
