Two clocks are circular. clock a has twice the area clock b. how many times greater is the radius of clock a than the clock b radius?

The radius of the circle A is times greater than the radius of circle B

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x----> the area of the clock A

y----> the area of the clock B

-----> equation A

we have

-----> equation B

substitute equation B in equation A

square root both sides

step 2

Find how many times greater is the radius of Clock A than the Clock B radius

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z-----> the scale factor

x----> the radius of the clock A

y----> the radius of the clock B

we have

substitute

therefore

The radius of the circle A is times greater than the radius of circle B

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

2x^2+5x+17

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