Answer:
21.6 m long
Step-by-step explanation:
To do this, we find the scale factor of the fencepost and the shadow.
3/1.8 = 1.66666667
So, we know that when we take the original length and multiply it, we get the new one, so:
1.666666667 * x = 36
x being the original length. Now, we divide both sides by 1.66666667 to get x alone and find the original length.
x = 21.6
To double check, we can take the scale factor and multiply it by the original to get the shadow.
21.6 * 1.666666667 = 36
It is correct
The system of equations is:
x = 2y
x*$10 + y*8 = $84
Solving it, we see that he worked 3 hours landscaping and 6 hours washing cars.
<h3>
How to write the system of equations?</h3>
First, we need to define the variables:
- x = number of hours washing cars.
- y = number of hours landscaping.
We know that Alexander worked twice as many hours washing cars as he worked hours landscaping, then:
x = 2y
We also know that he earned a total of $84, then:
x*$10 + y*8 = $84
So the system of equations is:
x = 2y
x*$10 + y*8 = $84
To solve it, we just replace the first equation into the second one:
(2y)*$10 + y*8 = $84
y*$28 = $84
y = $84/$28 = 3
So He worked 3 hours landscaping, and:
x = 2*y = 2*3 = 6
6 hours washing cars.
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
Final Answer: 
Steps/Reasons/Explanation:
Question: Solve by using the quadratic formula: 
.
<u>Step 1</u>: Use the Quadratic Formula.
![x = \frac{6 + \sqrt[2]{2} }{2}, \frac{6 - \sqrt[2]{2} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B6%20%2B%20%5Csqrt%5B2%5D%7B2%7D%20%7D%7B2%7D%2C%20%5Cfrac%7B6%20-%20%5Csqrt%5B2%5D%7B2%7D%20%7D%7B2%7D)
<u>Step 2</u>: Simplify solutions.
~I hope I helped you :)~ The quadratic formulaic is attached in an image.
30 minutes is half the clock face, 180 degrees.
Forward is clockwise on a clock so backwards is counterclockwise.
180 degrees counterclockwise rotation
