The area of square LMNP is 50
<h3>What is a circle?</h3>
A circle is the locus of points equidistant from a fixed point which is known as the center of the circle.
A circle is defined if the center and the radius is known.
Analysis:
Perimeter of a circle = 2πr
Given perimeter = 10π
2πr = 10π
2r = 10
r = 10/2 = 5
r = MO
so the diagonal of the square is actually the diameter of the circle = 5+5 = 10
To find the side, x of the square the diagonal and the sides form a right-angled triangle, by Pythagoras,
=
+ 
2
= 100
= 100/2 = 50
Also area of square is
= 50
In conclusion, the area of square LMNP is 50
Learn more about circles: brainly.com/question/24375372
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The x-coordinate in the solution of the system of equations y = -2/3x and 4x - 9y = -40 is -4
<h3><u>Solution:</u></h3>
<em><u>Given that system of equations are:</u></em>
------- eqn 1
------ eqn 2
We have to solve the above given system of equations and find the x - coordinate
<em><u>Substitute eqn 1 in eqn 2 and solve for "x"</u></em>

x = -4
Thus the x-coordinate in the solution of the system of equations is -4
Answer:
A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer
Answer:
a. 135 doorknobs
b. 
Step-by-step explanation:
The price-demand function is:

a. At a price of $36.30, the number of doorknobs sold, 'x' is:

Rounding it down to the nearest whole unit, the company can sell 135 doorknobs at $36.30
b. Revenue is the product of the price, p(x), by the demand, x. Therefore, the Revenue function is:
