Can the lengths 15 cm, 4 cm, and the square root of 209 cm make a right triangle?
1 answer:
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Answer:
A . 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
<u>Oliver's Interviewees</u>
- 10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
- 9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
<u>Jenny's Interviewees</u>
- 9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
- 10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
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<u>Total calculation</u>
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
<h2>Therefore, there are 36 more 10th than 9th.</h2><u />
<h3><u>Extra Info:</u></h3><u>Oliver's Interviewees Percentage</u>
Since we are given 30% of the 9th-grade class and 70% of the 10th-grade class, first, let's add the percentages. To do so, set it up as a fraction;
30% = while, 70% =
Now solve it;
Simplify; cancel bottom zero's;
Add the remaining numerators;
30 + 70 = 100
Which is 100%
<u>Jenny's Interviewees Percentage</u>
Since we're given 75% of the 9th-grade class and 25% of the 10th-grade, it will end up the same answer. I'll show you how; first, let's add the percentages. To do so, set it up as a fraction;
25% = and, 75% =
Now solve it;
Simplify; cancel bottom zero's
Add the remaining numerators;
25 + 75 = 100
Meaning 100%