Answer:
133°
Step-by-step explanation:
If the angle is "x"
We can say:
Complement of the angle is 90 - x
Supplement of the angle is 180 - x
Given, ANGLE IS 8 less than 3 times its SUPPLEMENT, so we can write:
x = 3(180 - x) - 8
So, now multiply and solve for x:
Thus, the angle is 133 degrees
Answer: b. y=5
Step-by-step explanation:
Take the cube root of both sides.
![y=\sqrt[3]{125}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B125%7D)
Calculate.
y=5
Answer:
m = 2/3
b = -3
Step-by-step explanation:
Rearrange the equation to slope-intercept form (y = mx + b).
x and y are points on the graph.
m is the slope.
b is the y-intercept.
Isolate "y". This means separating it from the other numbers.
-2x +3y = -9
-2x + 2x +3y = -9 + 2x Add 2x to both sides
3y = 2x - 9
3y/3 = 2x/3 - 9/3 Divide both sides by 3
y = 2x/3 - 9/3 Simplify
y = (2/3)x - 3
Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.
m = 2/3
b = -3
The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°
The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5
I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°
Sin(30) = s/5
5*Sin(30) = s
12*s = perimeter hexagon
(remember s is half the hexagon side)
12*5*Sin(30) = perimeter hexagon
30 inches = perimeter
