Check the attached file for the solution.
The answer is
*6.340338097E53
Answer:
x=58 degrees
Step-by-step explanation:
A line is 180 degrees. So x+90+32=180. 32+90=122. Now you do 180-122 and you will get 58.
Answer:
x = 13
Step-by-step explanation:
Using the 48° angle, we find out that the angle opposite of angle y° is also 48° according to the corresponding angles theorem. Then, you would subtract 48 from 180 to get the degrees of angle y, which would be 132°. Next, you need to subtract 132 from 180 to get the angle measure of the (5x - 17)° angle. (180 - 132 = 48) Once you have done that, all you have to do now is figure out what value of x makes it equal to the degree measure you found by subtracting 132 from 180. I tried it with x = 13, which came out as a correct answer. So x must be 13.
(5x - 17)°
(5(13) - 17)°
(65 - 17)°
(48)°
48°
The angle equals 48° and x equals 13.
Answer:
ai) 73000 gal/yr
aii) $730 per year
b) 1000 days
Step-by-step explanation:
ai) The water usage per day is ...
(4 showers/day)(10 min/shower)(5 gal/min) = 200 gal/day
Then the usage per year is ...
(200 gal/day)(365 days/yr) = 73,000 gal/yr
__
aii) The cost of electricity is the cost of heating half the water usage, so is ...
(0.20 kWh/gal)(1/2)(73,000 gal/yr)($0.10/kWh) = $730/yr
__
b) The current daily cost of electricity for heating water is ...
($730/yr)/(365 days/yr) = $2/day
If the cost is cut in half, it will be $1 per day. That means the savings is $1 per day, so it will take 1000 days to recover the $1000 initial cost. (Effectively, the average cost for the first 1000 days is the same as if the water heater had not been replaced.)
