Answer: 113.0 ft (bottom right corner)
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Explanation:
The triangle has a horizontal leg of 220 ft and a vertical leg of x ft. We'll use the tangent rule to connect the opposite side and adjacent side
opposite side = x
adjacent side = 220
this is with the reference angle shown in the diagram
So,
tan(angle) = opposite/adjacent
tan(26) = x/220
220*tan(26) = x
x = 220*tan(26)
x = 107.301169 ... see note below
x = 107.3
Now that we know the approximate value of x, we add on 5.7 to get
x+5.7 = 107.3+5.7 = 113.0
note: make sure your calculator is in degree mode. The value is approximate to 6 decimal places
Answer:
Larger angle: 104 degrees
Smaller angle: 76 degrees
Step-by-step explanation:
(9x+5) + (6x+10) = 180
x = 11
Answer: $340
Step-by-step explanation:
To identify the cost of renting the boat for 30 hours, breakdown the 30hours into specific renting hours
i.e 30 hours = (7 hours + 10 hours + 13 hours)
Then calculate each of the renting cost based on the hour breakdown given above
- Since the Cost of renting a fishing boat is $25 per hour for the first 7 hours, then (25 x 7 hours = $175)
- For the $10 per hour for the next 10 hours, then (10 x 10 hours = $100)
- and for $5 per hour for any additional hours. (5 x 13 additional hours = $65)
Now, sum up all of the cost of the hourly breakdown
i.e 30 hours = (7 hours + 10 hours + 13 hours)
= $175 + $100 + $65
= $340
Thus, the cost of renting the boat for 30 hours is $340
Answer:
1,890 minuts
Step-by-step explanation:
3 weeks = 7 days x 3 = 21 days
He rides his bike for "45 minutes to get to school and 45 minutes to get home" which is 90 minutes per day.
Therefore, in total, he rode for 21 days x 90 minutes per day = 1,890 minutes
