We can form a system of equations:
x*y=90
and
x=2y+3.
Solving gives dimensions of 15 feet by 6 feet.
Answer:
$8
Step-by-step explanation:
$40:15 gallons
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>:3 gallons
So first you say what did you do to 15 to get three?
15÷3= 5
Now you divide forty by five since that is what you did to 15 to get three.
40÷5= 8
Answer: 5 feet
Step-by-step explanation: A rectangle is a quadrilateral with 4 sides. The opposite sides are parallel and have the same length.
Top and bottom of the window are opposite, so they have the same measure of 3 feet.
One length of the window is 5 feet. Since the last side is opposite to the length of the window, it has the same length, i.e., its value is 5 feet.
For this case, what we must do is solve the following system of equations:
tan (50) = h / x
tan (40) = h / (x + 50)
Solving the system we have:
(x + 50) * tan (40) = h
(x) * tan (50) = h
Matching:
(x + 50) * tan (40) = (x) * tan (50)
Rewriting:
x (tan (50) - tan (40)) = 50 * tan (40)
x = 50 * tan (40) / (tan (50) - tan (40))
x = 118.9692621
Substituting:
h = (x) * tan (50)
h = (118.9692621) * tan (50)
h = 141.7820455
Answer:
The height of the building is:
h = 141.7820455 ft
