Step 1
<u>First situation</u>
when a ladder is leaning against a wall
Let
x-------> the distance of the bottom of the ladder from the wall
L-------> the length of the ladder
<u>Find the length of the ladder</u>
Applying the Pythagorean Theorem
------> equation 
Step 2
<u>Second situation</u>
when the ladder will be lying flat on the ground
<u>Find the length of the ladder</u>
In this situation the length of the ladder is equal to
square both sides
------> equation 
Step 3
equate equation and equation
therefore
<u>the answer is</u>
the length of the ladder is 
see the attached figure to better understand the problem
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Since you can earn 28 dollars by washing 7 cars, and you want to find the amount money you can make by washing 6 cars.
First, you should find the amount of money you can make by washing 1 car (unit rate).
To get from 7 to 1, you have to divide 7 by 7; 7 ÷ 7 = 1.
Do the same thing to the numerator; 28 ÷ 7 = 4.
Now you know how much you make by washing 1 car, you need to find how much you make by washing 6 cars.
To get from 1 to 6, you multiply by 6. 1 times 6 equals 6.
Now do the same thing to the numerator; 4 × 6 = 24.
You can earn 24 dollars by washing 6 cars.
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The last graph. This is because he can’t fold a paper a negative number of times, it’s impossible. Hope this helped :)
Answer:
∠B=60°
Step-by-step explanation:
In this right traingle, using angle B, you have the opposite side which is 6√102, and the adjacent side which is 6√34. Using SOHCAHTOA this invlolves TOA so tangent B = OPPOSITE/ADJACENT or tan B = 6√102/6√34. Simplifying gives tan B=√3. You can use your calculator to solve for B by taking the inverse tangent of √3 or you can use the known trig ratios from the unit circle if you have already learned that to find that angle B is 60°
Strip diagram is a tool that is used to be able to solve the given problem accurately.
I will show you how to do it.
we have 136 ounces that needs to be convert to cups
1 ounce = 0.125 cup
In 1 cup = 8 ounce
136 ounces / 8 cups = 17 cups
