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2 answers:
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Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
- Let the number be = n
- Twice the number n = 2n
- Sum of twice the number and six = 2n+6
- Thirteen less than twice the sum of a number and six = 2n+6-13
And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:
Solving the algebraic expression
solving the equation for 'n'
Add 7 to both sides
Simplify
Divide both sides by 2
Simplify
<h3>Answer: Choice H) 2</h3>
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Explanation:
Recall that the pythagorean trig identity is
If we were to isolate sine, then,
We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.
Through similar calculations,
Cosine is also positive in this quadrant.
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So,
Therefore,
is an identity as long as 0 < x < pi/2