Which statement is true?
1 answer:
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Answer:
Option 2 - 3.2 inches.
Step-by-step explanation:
Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.
To find : What is the difference between the two possible lengths of the third side of the triangle?
Solution :
According to question, it is a right angle triangle
Applying Pythagoras theorem,
Where, H is the hypotenuse the longer side of the triangle
P is the perpendicular
B is the base
Assume that H=8 inches and B = 5 inches
Substitute the value in the formula,
Assume that P=8 inches and B = 5 inches
Substitute the value in the formula,
Therefore, The possible length of the third side of the triangle is
Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.
So, Option 2 is correct.
21 chaperones are needed for 420 students.
Step-by-step explanation:
No. of juniors = 148
No. of seniors = 272
Total = 148+272 = 420 students
3 chaperones = 60 students
1 chaperone =
Ratio of chaperon to students = 1:20
Let,
x be the number of chaperons for 420 students.
Ration of chaperones to students = x:420
Using proportion
Ratio of chaperones to students :: Ratio of chaperons to students
Product of mean = Product of extreme
Dividing both sides by 20
21 chaperones are needed for 420 students.
Keywords: ratio, proportion
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