A hiker started on a trail at 150 feet below sea level. She finished her day at the top of a hill 351 feet above sea
1 answer:
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Answer:
1 time
Step-by-step explanation:
Given numbers are 54 and 36.
The greatest common divisor of 54 and 36 = 18
So, .
The least common multiple of 54 and 36 = 108
So, .
As 54 is replaced by and 36 is replaced by
, so after applying the given procedure, the new number is
Now, apply the same procedure, to get and
.
The greatest common divisor of 18 and 108 = 18
So, .
The least common multiple of 18 and 108 = 108
So, .
As is replaced by
and
is replaced by
, so after applying the given procedure, the new number is
which is the same as in equation (i)
Hence, after applying the procedure 1 time after , the obtained number
is the same as
.
Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
