**Answer:**

A) -9

**Step-by-step explanation:**

Since 180 degrees is exactly halfway around a circle (which is 360 degrees), moving either clockwise or counterclockwise would get you to the same point.

Three ratios that are equal to 40/50, 75/100, and 21/18 are 4/5, 3/4, and 7/6. The question is essentially asking you to simplify fractions. For example, 8/10 can also be represented as the ratio 8:10. This fraction can be simplified to 4/5, and the ratio 4:5 is the same as the ratio 8:10.

She has to walk **60 minutes** more to reach her goal.

Given: Flo sets a goal of walking 12,000 total steps per day. Flo's normal routine involves walking 6,000 steps per day.

To find: To Determine how many extra minutes should she walk per day beyond her normal routine?

Formula: Number of extra minutes = she walks per day beyond her normal routine / number of steps per minute

flo's normal routine involves walking steps per day= 6,000

If flo walks 100 steps per minute:

she walks per day beyond her normal routine =

=

Extra minutes =

= **60 minutes**

Therefore, she has to walk **60 minutes** more to reach her goal.

Learn more about **time and distance** here brainly.com/question/24283318

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**Answer:**

dy/dx = x^sin(x) * (sin(x)/x + cos(x) * lnx)

**Step-by-step explanation:**

∵ y = x^sin(x)

∴㏑y = ㏑(x^sin(x)) = sinx * ㏑x --- by differentiating both sides with respect to x

(1/y)* dy/dx = sin(x)/x + cos(x) lnx

dy/dx = x^sin(x) * (sin(x)/x + cos(x) * lnx)