Answer:
x = 120
Step-by-step explanation:
Since they are supplementary, they add up to 180 degrees.
So, you can say x + x/2 = 180
Then, you would solve it like an algebra problem.
Multiply both sides by 2
2x + x = 360
Simplify
3x = 360
Divide both sides by 3
x = 120
Answer:
See below
Step-by-step explanation:
![9.( {m}^{3} {n}^{5} )^{ \frac{1}{4} } \\ = m^{\frac{3}{4}}n^{\frac{5}{4}}\\ \\ 10. \sqrt[5]{ \sqrt[4]{x} } \\ = \sqrt[5]{ {x}^{ \frac{1}{4} } } \\ = {( {x}^{ \frac{1}{4} } )}^{ \frac{1}{5} } \\ = {x}^{ \frac{1}{4} \times \frac{1}{5} } \\ = {x}^{ \frac{1}{20} } \\ \\ \sqrt[5]{ \sqrt[3]{ {a}^{2} } } \\ = \sqrt[5]{ {a}^{ \frac{2}{3} } } \\ = {( {a}^{ \frac{2}{3} } )}^{ \frac{1}{5} } \\ = {a}^{ \frac{2}{3} \times \frac{1}{5} } \\ = {a}^{ \frac{2}{15} }](https://tex.z-dn.net/?f=9.%28%20%7Bm%7D%5E%7B3%7D%20%20%7Bn%7D%5E%7B5%7D%20%29%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%20%5C%5C%20%20%20%3D%20%20m%5E%7B%5Cfrac%7B3%7D%7B4%7D%7Dn%5E%7B%5Cfrac%7B5%7D%7B4%7D%7D%5C%5C%20%20%5C%5C%2010.%20%5Csqrt%5B5%5D%7B%20%5Csqrt%5B4%5D%7Bx%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%5B5%5D%7B%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%7B%28%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%20%3D%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B20%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%5Csqrt%5B5%5D%7B%20%5Csqrt%5B3%5D%7B%20%7Ba%7D%5E%7B2%7D%20%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%5B5%5D%7B%20%7Ba%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%7B%28%20%7Ba%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%20%3D%20%20%7Ba%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%7Ba%7D%5E%7B%20%5Cfrac%7B2%7D%7B15%7D%20%7D%20%20)
1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²<span>=36.
2. The standard form for the equation of a circle is:
(x-h)</span>²+(y-k)²=r²
(h,k) is the center point.
r is the radius.
3. Keeping this on mind, you can find the value of the radius, as below:
r²=36
r=√36
r=6 m
4. Then, the diameter of the circle is:
D=2r
D=2(6m)
D=12 m
<span>
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?</span>
The answer is: 12 m
Answer: Calculator online for a rectangular prism. Cuboid Calculator. Calculate the unknown defining surface areas, lengths, widths, heights, and volume of a rectangular prism with any 3 known variables. Online calculators and formulas for a prism and other geometry problems.
Step-by-step explanation: mark me branliest
Multiply the hours worked by the wage,
5x25=125 7x20=140,
Add the two totals,
140+125=265,
Divide total made by hours worked,
$265/12=22.08 dollars an hour.