Jonas began his construction by drawing the diameter of a circle and then a line perpendicular to the diameter that goes through
2 answers:
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Answer:
420 meters
Step-by-step explanation:
Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?
<u>Given</u>:
Circumference of circular tire = 2.8 meters
Tire revolves per second = 1.5 times
<u>Question asked:</u>
What is the distance Benjamin travels in 100 seconds?
<u>Solution:</u>
Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.
<em><u>Now, by unitary method:</u></em>
In 1 second, tire revolves = 1.5 times
In 100 seconds, tire revolves = 1.5 100
= 150 times
Distance covered by the tire when it revolves 1 time = 2.8 m
Distance covered by the tire when it revolves 150 times = 2.8 150
= 420 meters
Therefore, Benjamin travels 420 meters in 100 seconds.
5. At First Street Elementary School, about 18% of the 610 students ride bicycles to school. About how many students ride bicycles to school?
Since 100% is equal to 610 students
Then 18% is equal to X students
Results X students = 18%*610students/100% = 109.8 students. As it does not make sense to split students, we have to round up to the nearest unit. Then we have 110 students. That would be approximately 18.03%, that rounded to the nearest unit is approximately 18%.
Answer 5) 110 students ride bicycles to school.
6. Write a proportion and answer each question using the conversion factor 1 inch = 2.54 centimeters.
a) Don is 67 inches tall. How many centimeters tall is he?
Since 1 inch is equal to 2.54 centimeters
Then 67 inches will be X centimeters
Results X cm = 67in * 2.54cm/1in = 170.18 centimeters
Answer 6a) Don is 170.18 centimeters tall.
b) Amira's pencil is 13.5 centimeters long. How many inches long is it?
Since 2.54cm is equal to 1inch
Then 13.5cm will be X inches
Results X inches = 13.5cm * 1in/2.54cm ≈ 5.315 approximately 5.32 inches
Answer 6b) Amira's pencil is approximately 5.32 inches long.
7. Use dimensional analysis to convert 60 miles per hour to feet per second. Remember that there are 5,280 feet in 1 mile.
Since 1 mile is equal to 5,280 feet
Then 60 miles will be X feet
Results X feet = 60 miles * 5,280 feet/1 mile = 316,800 feet
Since there are 3,600 seconds in 1 hour
316,800 feets per hour = 316,800 feets/hour x 1hour/3,600secs = 88 feet/sec
Answer 7) 60 miles per hour are converted to 88 feets per second
Hope this helps!