Analyze the diagram below and complete the instructions that follow. find sin1. 1/42. 1/33. 3/54. 4/5

Angle NOM, or angle O for short if you just focus on triangle NOM (ignore point L), has the side MN = 3 opposite this reference angle. The hypotenuse is MO = 5 units. This is found through the pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = c^2

25 = c^2

c^2 = 25

c = sqrt(25)

c = 5

Triangle NOM is a 3-4-5 right triangle. The ratio of the opposite and hypotenuse will get us the sine of angle NOM

so,

sin(angle NOM) = opposite/hypotenuse

sin(angle NOM) = MN/MO

sin(angle NOM) = 3/5

note: we do not use point L at all, nor do we use the fact that LM = 12 To avoid potential confusion, it might be best to draw out triangle NOM only with the proper labels as you see in the diagram below (see attached image).

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6