Answer:
108
Step-by-step explanation:
Y = 7x
3x7 = 21
5x7 = 35
8x7 = 56
10x7 = 70
Speed can be defined as the <em><u>distance covered per time. </u></em>
The average speed formula is given as: Distance/Time
The average speed of Samuel's morning training is 7 2/3 miles/hour
We are to calculate the time in hours. Remember conversion rate :
60 minutes = 1 hour
He did 3 activities every morning
- a) Ran for 30 minutes, covering 4.5 miles.
60 minutes = 1 hour
30 minutes = ?
Cross Multiply = 30 minutes x 1 hour / 60 minutes
= 0.5 hour
Hence: Speed = 4.5 miles/0.5 hour
= 9 miles/hour
- b) Swam for 20 minutes, covering 2/3 miles
60 minutes = 1 hour
20 minutes = ?
Cross Multiply = 20 minutes x 1 hour / 60 minutes
= 1/3 hour
Hence: Speed = 2/3 miles/ 1/3 hour
= 2/3 x 3/1 (miles/hour)
= 2 miles/hour
- c) Biked for 45 min, covering 9 miles.
60 minutes = 1 hour
45 minutes = ?
Cross Multiply = 45 minutes x 1 hour / 60 minutes
= 3/4 hour
Hence: Speed = 9 miles/ 3/4 hour
= 9 x 4/3 (miles/hour)
= 12 miles/hour
- Samuel's average speed during his morning training is calculated as:
(9 + 2 + 12) miles/hour / 3
= 23/3
= 7 2/3 miles/hour
To learn more, visit the link below:
brainly.com/question/14796641
We are given
Angles α and β are angles in standard position
and
α terminates in Quadrant II
β terminates in Quadrant I
and we have

we can use triangle and find cos(α)
we get

and we have

we can draw triangle

now, we can use formula

now, we can plug values

now, we can simplify it




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