Geometry, circles and radius
25 points

Below in bold.

Step-by-step explanation:

Part A.

There are  18 sectors in the circle  so each arc  goes through  360/18 = 20 degrees.

The passenger passes through 4 arcs so that is 80 degrees.

The distance travelled from M to J =  (80/360) * the circumference.

The circumference = 2πr = 2 * 200 * π

= 400π feet.

So the distance = (80 * 400π) / 360

= 279.25 feet.

Part B.

The distance for 2 revolutions = 2 * 2 * π  * 200

= 800 π

= 2513 feet.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation: