I need some help on 2 anwers 1)is the following set of numbers a perfect triple? 8, 10,and 12. 2)Which pair of fractions is proportional (A)0.6/0.3=?3/18,(B)0.6/0.3=?2.4,(C)0.6/0.3=?2.4/1.8, (D)0.6/0.3=?3/15
1. Does 8^2+10^2=12^2? If it does, it's a triple. If it doesn't, it's not.
To determine if a set of numbers is a perfect triple, you need to check if they satisfy the condition of a perfect triple, which is when the sum of the squares of the two smaller numbers equals the square of the largest number.
For the first question, we have the set of numbers {8, 10, 12}. To check if these numbers form a perfect triple, we need to compare the sum of squares of the smaller numbers (8 and 10) with the square of the largest number (12).
Calculations:
8^2 + 10^2 = 64 + 100 = 164
12^2 = 144
Since 164 is not equal to 144, the set {8, 10, 12} is not a perfect triple.
Moving on to the second question. To determine if two fractions are proportional, we need to compare their equivalent ratios.
For the second question, we have four pairs of fractions:
A) 0.6/0.3 and 3/18
B) 0.6/0.3 and 2.4
C) 0.6/0.3 and 2.4/1.8
D) 0.6/0.3 and 3/15
To check if they are proportional, we need to find the equivalent ratio by dividing the numerator of one fraction by the denominator of the other. Let's calculate this for each pair:
A) 0.6/0.3 = 2/1 and 3/18 = 1/6
Comparing 2/1 with 1/6, they are not equal, so A) 0.6/0.3 and 3/18 are not proportional.
B) 0.6/0.3 = 2/1 and 2.4 = 2.4/1
Comparing 2/1 with 2.4/1, they are not equal, so B) 0.6/0.3 and 2.4 are not proportional.
C) 0.6/0.3 = 2/1 and 2.4/1.8 = 4/3
Comparing 2/1 with 4/3, they are not equal, so C) 0.6/0.3 and 2.4/1.8 are not proportional.
D) 0.6/0.3 = 2/1 and 3/15 = 1/5
Comparing 2/1 with 1/5, they are equal, so D) 0.6/0.3 and 3/15 are proportional.
Therefore, the pair of fractions that is proportional is D) 0.6/0.3 = 2/1 and 3/15 = 1/5.