From fraction to decimal: divide the numerator by the denominator
From decimal to percent: move the decimal two places to the right. For example: 0.062=6.2%
From percent to decimal: move the decimal point two steps to the left. For example: 56%=0.56
From decimal to fraction: Rewrite the decimal number number as a fraction (example: <span>2.625=<span>2.6251</span></span>) an then Multiply by 1 to eliminate 3 decimal places, we multiply numerator and denominator by 10 cubed = 1000<span><span><span>2.625/1</span>×<span>1000/1000</span>=<span>2625/1000 and don forget to reduce if possible;)
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<u>Answer:</u>
The height of the ladder is 14.491 feet
<u>Explanation</u>:
Given the height is 11 feet
Base = 7 + 2 = 9 feet
Consider the ladder to be the hypotenuse
Applying Pythagoras Theorem,

Substituting the values in the above formula,
= 112 + 92
= 121 + 81
= 210
H = sqrt(210)
H = 14.491
Therefore, the height of the ladder is 14.491 feet
My "work" is to enter the equations into a graphing calculator and let it show me the answers--just as your "work" is to copy the question to Brainly.
The solutions are
(x, y) = (-0.5, 7.5)
(x, y) = (3, 25)
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When you equate the expressions for y, you get the quadratic
2x² -5x -3 = 0
(2x +1)(x -3) = 0
x = -1/2 or 3
y = 5(x +2) = 15/2 or 25