9514 1404 393
Answer:
(c) 162 cm
Step-by-step explanation:
The centroid divides a median into parts with the ratio 1:2, so RL:LD = 1:2. Then RL:RD = 1:(1+2), and RD = 3RL.
RD = 3·54 cm
RD = 162 cm
Answer: The height of the flagpole is 12 feet.
Step-by-step explanation:
Let the height of the flagpole be 'H'.
So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.
Given:
Height of stick is,
Shadow of the stick is,
Shadow of the flagpole is,
Now, as these are in proportion, we have
Plug in the given values and solve for 'H'. This gives,
Hence, the height of the flagpole is 12 feet.
The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
- The time spent on doing the homework is 15 minutes.
- The time spent watching television is 3 hours.
- To calculate the ratio, we must have the same units for both quantities.
- We have to convert the time spent watching television from hours to minutes.
- 1 hour is 60 minutes.
- 3 hours has 3*60 minutes.
- 3 hours have 180 minutes.
- So, the time spent watching television is 180 minutes.
- The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.
- We need to simplify the fraction.
- 15/180 is equal to 1/12.
- Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
To learn more about fractions, visit :
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Answer:
A) 10,560 ft. B) 32 more laps.
Step-by-step explanation:
A) Four laps around a track is equal to one mile, and there are 5,280 feet in one mile. If Roger ran eight laps, he ran two miles. Therefore: 5,280 ft. times 2, is equal to 10,560 ft.
B) We know that Roger ran two miles Monday. We also know that four laps around a track is equal to one mile. In order to run 10 miles, he would have to run 40 laps, and since he already ran 8, we can subtract that from 40. You are left with 32 more laps.
