Answer:
Step-By-Step Explanation:
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Answer:
.894
Step-by-step explanation:
First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is
Filling that in with numbers we have
and
64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.
and
so
c=√80 which simplifies to 4√5. That means that the sin ratio for x is
which divides out to .894
For this case, the first thing to do is find the equation of the line in order to model the problem mathematically.
Using Excel (see attached image) we find that the equation of the line is:
y = 0.0035x - 3
We evaluate for:
For x = 7000:
y = 0.0035 * (7000) - 3
y = 21.5 $
For x = 10000
y = 0.0035 * (10000) - 3
y = 32 $
For x = 13000
y = 0.0035 * (13000) - 3
y = 42.5 $
Answer:
The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is:
21.5 $, 32 $, 42.5 $, respectively.
Using Excel (see attached image) we find that the equation of the line is:
y = 0.0035x - 3
We evaluate for:
For x = 7000:
y = 0.0035 * (7000) - 3
y = 21.5 $
For x = 10000
y = 0.0035 * (10000) - 3
y = 32 $
For x = 13000
y = 0.0035 * (13000) - 3
y = 42.5 $
Answer:
The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is:
21.5 $, 32 $, 42.5 $, respectively.