Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to

where
L is the length
W is the width
we have

so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A

solve for W

solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L

therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Answer:
I think its c
Step-by-step explanation:
T= # of rental hours
Reservation Fee= $31
Per Hour Fee= $7.40
Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $97.60.
Res Fee + ($ per hr * # hrs) < $97.60
$31 + $7.40t < $97.60
subtract 31 from both sides
7.40t < 66.60
divide both sides by 7.40
t < 9
ANSWER: To spend less than $97.60, they need to rent the room less than 9 hours.
Hope this helps! :)
the answer is C.DAB and BCD
Answer:
The larger angle is 54°
Step-by-step explanation:
Given
Let the angles be: θ and α where
θ > α
Sum = 72
α : θ = 1 : 3
Required
Determine the larger angle
First, we get the proportion of the larger angle (from the ratio)
The sum of the ratio is 1 + 3 = 4
So, the proportion of the larger angle is ¾.
Its value is then calculated as:.
θ = Proportion * Sum
θ = ¾ * 72°
θ = 3 * 18°
θ = 54°