Which expression is equivalent to sqrt 120x?
2 answers:
Answer:
a.
Step-by-step explanation:
We have been given a radical expression and we are asked to choose the correct option that is equivalent to our given expression.
Let us pull out perfect square from our radical expression.
We can rewrite our given expression as:
Since square root of 4 is 2, so we can pull out 2 from our radical expression.
Therefore, the expression is equivalent to our given expression and option a is the correct choice.
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The ratios of sin x° and cos y° are 15/8.
We have given that,
Use the image below to answer the following question.
We have to determine to find the value of sin x° and cos y°.
By applying Pythagoras theorem in the triangle given in the picture,
<h3>What is the Pythagoras theorem?</h3>(Hypotenuse)² = (leg 1)² + (leg 2)²
PO² = (15)² + 8²
PO² = 225 + 64
PO = √289
PO = 17
By applying the sine rule in the given triangle,
sin(x°) = Opposie side/hypotenous
= 15/17
cos(y°) = Adjucent side/hypotenous
= 8/17
The relation between the ratio of sin(x) and cos(x) will be,
Therefore the ratios of sin x° and cos y° are 15/8.
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