We will use the Pythagorean theorem to determine the height:

Finally:

Answer Ladder will reach the height of 14.59 feet ( to the nearest hundredths).
Mode
The number that occurs most often
The lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.
<h3>Algebra</h3>
- Cost of higher-priced speaker = $170
- Cost of lower-priced speaker = $80
- Number of lower-priced speaker = 4x
- Number of higher-priced speaker = x
Higher-priced speaker = 170 × x
= 170x
Lower-priced speaker = 80 × 4x
= 320x
Total sales = $4,410
170x + 320x = 4,410
490x = 4,410
divide both sides by 490
x = 4,410 / 490
x = 9
So,
Number of lower-priced speaker = 4x
= 4 × 9
= 36
Number of higher-priced speaker = x
= 9
Therefore, the lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.
Learn more about algebra:
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By definition of the transform, and the definition of
, we have

Substitute
, so that
.

Alternatively, if you're familiar with the unit step function, you can write

where the unit step function is defined as

Either way, the transform is the same.