The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is 
.
The given parameters:
- <em>Partition of the line segment = 5:6</em>
The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;
total segment = 5 + 6 = 11
The value of each partition on the directed line segment is calculated as follows;
The distance between point D and point E is calculated as follows;
The partition of the two points (D to E) is calculated as follows;
Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is .
Learn more about partition of line segments here: brainly.com/question/4429522
Answer:
20 goes into 110 five-and-a-half times
Step-by-step explanation:
Let's show our work:
20 + 20 + 20 + 20 + 20 + 10
\____\_____\____/_____/_____/
100
100
= 20 + 20 + 20 + 20 + 20 + 10
Half of 20 = 10
The keyword is half - so that leaves a 0.5 in your answer to "How many times does 20 go into 110."
How many 20's are there? Let's count!
20 + 20 + 20 + 20 + 20
1 2 3 4 5
So five 20's + one 0.5 = ?
That equals 5.5, because 5 + 0.5 = 5.5
Your answer is 5.5!
I hope this helps!
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Answer:
He must win 11 more matches to qualify for the bonus.
Step-by-step explanation:
24/36 * 100 = 67% (to the nearest %) - This is the current percentage of what the Tennis player has won.
If we add 14 more matches on to the 36 the player has already played, we know that the Tennis player plays 50 matches in total.
Let's say the Tennis player was playing 100 matches, they would need to win 70 or more to qualify for the bonus. Because the player is playing half this amount of matches, we half the amount of games they have to win...
35/50 games or more must be won to qualify for the bonus. The Tennis player has already won 24 matches, so must win 11 more matches to qualify for the bonus.
Hope that helps!
Let the four consecutive numbers be x, x+1, x+2, and x+3.
The sum of the four numbers is 54, therefore
x + (x+1) + (x+2) + (x+3) = 54
4x + 6 = 54
4x = 54 - 6 = 48
x = 12
Answer:
The four numbers are 12, 13, 14, and 15
Multiply the area of the circle by the percentage:
60 square units x 50% = 60 x 0.50 = 30
50% 0f the circle id 30 square units.
