Answer:
A = 187.5L - L^2
So,
g(l) = 187.5l - l^2
Step-by-step explanation:
The perimeter of a rectangle is given by:
P = 2(L + B)
Where P = perimeter
L = Length
B = Width
Making B the subject of formula, we have;
B = P/2 - L ......1
The area of a rectangle is:
A = L × B ........2
Substituting equation 1 to 2.
A = L × (P/2 - L)
A = LP/2 - L^2 .......3
Given that the perimeter P = 375 inches
A = L(375)/2 - L^2
A = 187.5L - L^2
So,
g(l) = 187.5l - l^2
<h3>
Answer: 80 degrees</h3>
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Explanation:
I'm assuming that segments AD and CD are tangents to the circle.
We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.
By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.
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Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.
Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.
We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.
---------------------------
Here's what we have so far for quadrilateral DAEC
- angle A = 90
- angle E = 100
- angle C = 90
- angle D = unknown
Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees
A+E+C+D = 360
90+100+90+D = 360
D+280 = 360
D = 360-280
D = 80
Or a shortcut you can take is to realize that angles E and D are supplementary
E+D = 180
100+D = 180
D = 180-100
D = 80
This only works if AD and CD are tangents.
Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.

so,

it equals 12.49 or 12.5 depending on rounding
I hope this helps!
Answer:
building a aroung 50.34 feet