Answer:
The radius of the circle is 
The length of the square is 
Step-by-step explanation:
we know that
The circumference of a circle is equal to 
The perimeter of the square is equal to 
so
Simplify
-----> equation A
The area of a circle is equal to 
The area of a square is 
The total area is equal to
-----> equation B
substitute equation A in equation B
![At=\pi r^{2}+[(12-\pi r)/2]^{2}](https://tex.z-dn.net/?f=At%3D%5Cpi%20r%5E%7B2%7D%2B%5B%2812-%5Cpi%20r%29%2F2%5D%5E%7B2%7D)
This is a vertical parabola open upward
The vertex is the minimum
The x-coordinate of the vertex is the radius of the circle that produce a minimum area
The y-coordinate of the vertex is the minimum area
Solve by graphing
The vertex is the point (1.68, 20.164)
see the attached figure
therefore
The radius of the circle is
Find the value of x
assume
Answer
First we add all of the students that take either algebra 1, algebra 2 or both: 14+20+7= 41 which means out of 60 students 41 take either algebra 1, algebra 2 or both to find the rest of the students we subtract 41 from 6060-41= 19 answer: 19 students don't take either subject
Assume that the number of leaves raked by Adam is x.
Tapiwa raked 5% more leaves than Adam, this means that:
Leaves raked by Tapiwa = x + 0.05x = 1.05x liters
We are given that the total number of raked leaves is 697 liters.
This means that:
Total raked = raked by Adam + raked by Tapiwa
697 = x + 1.05x
697 = 2.05x
x = 697 / 2.05
x = 340
Based on the above calculations:
Adam raked 340 liters of leaves
Tapiwa raked 1.05(340) = 357 liters of leaves
1. You got it right.
4π/9 x 180/π = 80°
2. To get a coterminal angle you start with your angle and then you add or subtract 360° (one cycle around the circle).
-123+360+360 = 597°
-123-360 = -483°
3. The angle is 215° from the point (1,0) on the unit circle. The angle 215° is between 180° and 270° so it is in quadrant 3.
