So first let’s find the area of the rectangle. The formula for finding the area of a rectangle is A=l x w.
The length is 10ft and the width is 8ft.
A=10ft x 8ft=80ft^2
The area of the rectangle is 80ft^2.
Now let’s find the area of the triangle. The formula for finding the area of a triangle is A=h x b/2. Both the height and the base of the triangle is 4ft.
A=4ft x 4ft/2=8ft^2.
The area of the triangle is 8ft^2.
Now to find the area of the entire shape. Add the area of the rectangle and the area of the triangle.
80ft^2+8ft^2=88ft^2
The total area of the shape is 88ft^2.
Answer:
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Step-by-step explanation:
Equation of a circle: 
where (h, k) is the center and r is the radius
Given the center is at (0, 0)


Given the circle passes through point (1, -6):
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
Therefore, the equation of the circle is:
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Answer:
108°
Step-by-step explanation:
Triangle LPM is similar to triangle MPN (they share MP, LP=NP and they both contain right angles.
This means that ∠LMP = ∠ PMN:
∠LMP = ∠ PMN
4x+2 = 7x-37
3x=39
x=13
∠LMN = ∠LMP + ∠ PMN
= 4(13)+2 + 7(13)-37
= 54 + 54
=108°
This question also translates to: How many times do you multiply 2 times itself to get 32? The answer is 5 because you multiply 2 times itself 5 times to get 32.