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:
238.65
Step-by-step explanation:
To find the simple interest we use the formula:
A = P(1 + rt)
Let's break down all the variables that we have.
P = 3,700
r = 2.15% or 0.0215
t = 3
So let's put all our variables into the formula.
A = P(1 + rt)
A = 3,700(1 + (0.0215)(3))
A = 3,700(1 + 0.0645)
A = 3,700(1.0645)
A = 3938.65
Gary will have a total of 3938.65 in his account after 3 years. Now to find how much he made in interest, we simply subtract the total after 3 years to his initial amount.
Interest = 3938.65 - 3700
Interest = 238.65
Answer:
both negative because y is negative and make both answers negative
By geometrical inspection we have:
M4 = 30
Then the angle M6 can be determined from the fact that you have a rectangle triangle (345) that has an angle of 90 and another of 30. The missing angle measures:
180-90-30 = 60 = M3
Then to find M6 we have
M3 + 60 + M6 = 180
M6 = 180-60-M3
M6 = 180-60-60
M6 = 60
answer:
M4 = 30
M6 = 60