The answer is 180 square yards, or 20 square feet.
First, add 2 to both sides. You should have 3/2x=21. Multiply both sides by 2 which gives you 3x= 42. Divide by 3 and you have x=14
The angle of the sector is also equal to the arc measure of the circle. This is because a sector is made up of two radii of a circle.
A circle is 360 degrees.
60 / 360 = 1/6
The sector is 1/6 of the circle.
Hope this helps!! :)
Answer: x = -3
set them equal to each other and reverse pemdas as shown in my image
From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x