Answer:
Square root of y
Step-by-step explanation:
It just is
Answer:
60 °
Step-by-step explanation:
Applying the law of sine we have the following:
160 / Sin B = 80 / Sin 30 °
We solve for B and we have:
160 / Sin B = 80 / 0.5
160 / Sin B = 160
Without B = 160/160
B = Arc Sin (1)
B = 90 °
Now to calculate the other angle (true
course) would be:
A = 180 ° - (B + C)
A = 180 ° - (90 ° + 30 °)
A = 60 °
That is to say that true course is 60 °
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Define length and width
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Let the width be x
Width = x
Length = 3x
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Form equation and solve for x
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x(3x) = 48
3x² = 48
x² = 48 ÷ 3
x² = 16
x = √16
x = 4
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Find length and width
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Width = x = 4
Length = 3x = 3(4) = 12
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Answer: Width = 4cm, Length = 12cm
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We have the rational expression

; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator

.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable

, and the least exponent of that variable is 1, so

will be the other part of our common factor. Lets put the two parts of our common factor together to get

.
Now that we have our common factor, we can rewrite our numerator as follows:

We are luckily, we have

in both numerator and denominator, so we can cancel those out:


We can conclude that the simplified version of our rational function is

.