The length is 15 inches and width is 9 inches
Step-by-step explanation:
Let
l be the length
and
w be the width
w = l-6
The area of rectangle is 135 ft^2
The formula for area is:

As the length cannot be negative, so we will use the value of length 15
If length 15,
w=l-6
w=15-6
w=9
So,
The length is 15 inches and width is 9 inches
Keywords: Area of rectangle, Quadratic equation
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Answer:
98
Step-by-step explanation:
So we have the two functions:

And we want to find the value of r(g(4)).
To do so, first find the value of g(4):

Multiply:

Subtract:

Now, substitute this into r(g(4)):

And substitute this value into r(x):

Square:

Subtract:

Therefore:

Answer:
Height of the antenna = 28 ft (Approx)
Given:
Length of base = 300 ft
Angle of elevation to the building = 40°
Angle of elevation to the antenna = 43°
Find:
Height of the antenna
Computation:
Using trigonometry function:
Tan40° = Height of building / Length of base
Height of building = 251.73 ft
Tan43° = [Height of building + Height of the antenna] / Length of base
0.9325 = [251.73 + Height of the antenna] / 300
Height of the antenna = 28.02 ft
Height of the antenna = 28 ft (Approx)