<h2>Answer:</h2>
8.75 feet
<h2>
Step by step:</h2>
Given that a 12 foot ladder leans against a building seven feet above the ground.
By using trigonometry ratio, the angle between the ladder and the ground will be
SinØ = opposite/ hypothenus
SinØ = 7 / 12
SinØ = 0.58333
Ø = Sin^-1(0.58333)
Ø = 35.69 degree
At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?
Using the same trigonometric ratios
SinØ = opposite/hypothenus
Sin 35.69 = opposite/ 15
Cross multiply
Opposite = 15 × sin 35.69
Opposite = 8.75 feet
Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.
Answer and Step-by-step explanation:
Alot of these can be solved with the table up above the problems.
<h2>
A, B, and C.</h2><h2>
</h2>
According to the table, every time a value has an exponent of 0, it would equal to 1. Since all A B and C values follow the 0 exponent, their value is 1.
<h2>D.</h2><h2 />
According to the table, when we have a negative exponent, the number gets turned into a fraction of 
Since our value is 9^-2, do as followed :
Solve what is 9^2 :
![[\frac{1}{81} ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B81%7D%20%5D)
<h2 /><h2>E.</h2><h2 />
This question is different, since we have to go backwards, we have to switch the negative exponent to a positive exponent and rid the fraction.
<h2>F.</h2><h2 />
Since we have one negative exponent, follow the fraction rule but instead of having one as the numerator, have 5a^3.
<h2>Fill in the table :</h2><h2 />
Since -3 is in parenthesis, we can rid the negative along with the parenthesis :
Follow the negative exponent rule :
Follow the negative exponent rule yet again :
The problem needed to say that when he did the shading,
he only shaded WHOLE PARTS.
For the rectangle that he shaded 1/3 of, how many parts could it have ?
It could have 3, 6, 9, 12, 15, 18, 21, etc. parts ... the multiples of 3.
For the rectangle that he shaded 1/4 of, how many parts could it have ?
It could have 4, 8, 12, 16, 20, etc. parts ... the multiples of 4.
Both rectangles have the same number of parts.
What's the smallest number on both of those lists ?
It's called the "least common multiple of 3 and 4".
It's the smallest number that they both go into.
It's 12 .
