MATHEMATICS HIGH SCHOOL

Which choice is equivalent to the quotient shown here when x > 0?√50x^2 divide by √32x^2.

a.5√x/4
b.5x/4
c.√18x
d.√50x^3-32x^2

Answers

Answer 1
Answer:

The quotient equivalent to the expression √(50x^3) / √(32x^2) is (5√x)/4.

Hence option B is the right choice.

How to find the quotient of an expression?

To find the quotient of an expression, we simplify the numerators and the denominators and then cancel off the like terms.

How to solve the question?

In the question, we are asked to find the equivalent expression to the quotient given by √(50x^3) / √(32x^2) .

To find the equivalentexpression, we need to simplify the given quotient as follows:

{√(50x³)}/{√(32x²)}

= {√(25.2.x².x)}/{√(16.2.x²)} [Since, 50x³ = 25.2.x².x, and 32x² = 16.2.x²]

= {√(5².2.x².x)}/{√(4².2.x²)} [Since, 25 = 5², and 16 = 4²]

= (5x.√2.√x)/(4x√2) [Since, √(ab) = √a√b, and √a² = a]

= (5√x)/4 [Cancelling the like terms √2 and x].

Thus, the equivalent expression is (5√x)/4.

Thus, the quotient equivalent to the expression √(50x^3) / √(32x^2) is (5√x)/4. Hence option B is the right choice.

The question provided is incomplete. The complete question is provided in the attachment.

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Answer 2
Answer: √(50x^2):√(32x^2)=\sqrt(50x^2)/(32x^2)=\sqrt{(25)/(16)}=(5)/(4)

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What fraction of a pound is 0.05

Answers

0.05 of any unit (including a pound) is as much as 5/100. We can also simplify it to 1/20, so probably that's the answer you're looking for.

I hope it will help you :)

Final answer:

0.05 of a pound is equivalent to 1/20 of a pound in fraction form. This can be obtained by converting the decimal 0.05 into a fraction.

Explanation:

The question is asking us to convert a decimal into a fraction. Specifically, you are asked what fraction of a pound is 0.05. To convert 0.05 into a fraction, we divide '5' (ignoring the decimal) by 100 (as there are 2 decimal places), which gives us 1/20. Therefore, 0.05 of a pound is equivalent to 1/20 of a pound in fraction form.

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A hiker sees a tree on the river’s edge directly opposite her. She walks along the riverbank for 120 feet and notes that the angle formed by her path and a line to the tree measures 70 degrees. How wide is the river?

Answers

please read the attached file

Kajsbsjaknanakwisjnsns

Answers