Answer: Perimeter = 22*sqrt(2)
Area = 60.5 inches
Step-by-step explanation:
Simple a square has 4 equal sides.
It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.
Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi
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![\frac{2}{9} = \frac{4}{x + 8} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B9%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7Bx%20%2B%208%7D%20%20%5C%5C%20)
![\frac{4}{x + 8} = \frac{2}{9} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7Bx%20%2B%208%7D%20%20%3D%20%20%5Cfrac%7B2%7D%7B9%7D%20%20%5C%5C%20)
Inverse both sides
![\frac{x + 8}{4} = \frac{9}{2} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%208%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B9%7D%7B2%7D%20%20%5C%5C%20)
Multiply sides by 4
![4 \times \frac{x + 8}{4} = 4 \times \frac{9}{2} \\](https://tex.z-dn.net/?f=4%20%5Ctimes%20%20%5Cfrac%7Bx%20%2B%208%7D%7B4%7D%20%20%3D%204%20%5Ctimes%20%20%5Cfrac%7B9%7D%7B2%7D%20%20%5C%5C%20)
![x + 8 = 2 \times 9](https://tex.z-dn.net/?f=x%20%2B%208%20%3D%202%20%5Ctimes%209)
![x + 8 = 18](https://tex.z-dn.net/?f=x%20%2B%208%20%3D%2018)
Subtract sides 8
![x + 8 - 8 = 18 - 8](https://tex.z-dn.net/?f=x%20%2B%208%20-%208%20%3D%2018%20-%208)
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Done...
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Answer:
1/7
Step-by-step explanation:
x/y
Plug in the values.
(2)/(14)
Simplify.
1/7