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▹ Answer
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▹ Step-by-Step Explanation
- Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
The correct options are;
1) Write tan(x + y) as sin(x + y) over cos(x + y)
2) Use the sum identity for sine to rewrite the numerator
3) Use the sum identity for cosine to rewrite the denominator
4) Divide both the numerator and denominator by cos(x)·cos(y)
5) Simplify fractions by dividing out common factors or using the tangent quotient identity
Step-by-step explanation:
Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;
tan(x + y) = sin(x + y)/(cos(x + y))
sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
Answer:
62 units^2
Step-by-step explanation:
The surface area of the prism is the area of the net. It consists of a vertical rectangle 3 units wide and 14 units high, which has an area of ...
(3 units)(14 units) = 42 units^2
and two "wings" that are each 5 units wide and 2 units high, so have an area of ...
(2)(5 units)(2 units) = 20 units^2
Then the total surface area is ...
42 units^2 +20 units^2 = 62 units^2
So,
All we have to do is multiply the amount of water Andy carried by the fractional amount he drank.
1/2 * 2/3
This is pretty simple. To halve TWO-thirds, just halve the numerator, since it's such a nice number.
Presto. Half of two is one.
Therefore,
1/2 * 2/3 = 1/3
Andy drank 1/3 gallons of water on his hike. That's 5 1/3 cups of water. I would estimate his hike to be about 3 miles. Easy peasy.