Answer:
Step-by-step explanation:
So 1cm rep = 24 ÷ 2 = 12
So 3cm rep = 12 x 3 = 36
Answer:
Ron's speed = 3 miles/hour
Stevie's speed = 2.5 miles/hour
On comparing we see Ron is walking faster than Stevie.
Step-by-step explanation:
Given:
Ron takes 10 minutes to walk on a track to cover a distance of 0.5 miles
Stevie takes 6 minutes to walk on a track to cover a distance of 0.25 miles
To find their unit rates in mile per hour and choose the faster one.
Solution:
Unit rate in miles per hour signifies their speeds. Thus, we will find out their speeds.
Ron:
Distance= 0.5 miles
Time = 10 minutes =
hours
Speed =
Stevie
Distance = 0.25 miles
Time = 6 minutes =
hours
Speed = 
Thus, we have
Ron's speed = 3 miles/hour
Stevie's speed = 2.5 miles/hour
On comparing we see Ron is walking faster than Stevie.
Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
Answer: ok boomer :3
Step-by-step explanation:
Since there are

in a circle, and central

, you can see that the part "sliced out" by the central angle is

of the whole circle.
This means that the length of the intercepted arc

is

of the circumference of the circle. So,