The ratio of the length of Pole A to the length of Pole B is 4:5.
a. find the ratio of the length of pole A to the total length of the two poles.
b. what fraction of the length of pole A is the length of pole B.
c. what fraction of the length of pole B is the length of pole A.
d. what fraction of the total length of the two poles is the length of pole A.
e. what fraction of the total length of the two poles is the length of pole B?
a. 4:9
b. 5/4
c. 4/5
d. 9/4
e. 9/5
A) 4:9
B) 4:5
C)5:4
D) 9:4
E) 9:5
To solve these questions, we need to use the given ratio between the lengths of Pole A and Pole B, which is 4:5.
a. To find the ratio of the length of Pole A to the total length of the two poles, we need to add the lengths of Pole A and Pole B together. Adding the numerators and denominators of the ratio, we have 4 + 5 = 9. So, the ratio of the length of Pole A to the total length of the two poles is 4:9.
b. To find the fraction of the length of Pole A that is the length of Pole B, we divide the length of Pole B by the length of Pole A. In this case, the length of Pole B is represented by the denominator of the ratio, which is 5. So, the fraction we're looking for is 5/4.
c. To find the fraction of the length of Pole B that is the length of Pole A, we divide the length of Pole A by the length of Pole B. In this case, the length of Pole A is represented by the numerator of the ratio, which is 4. So, the fraction we're looking for is 4/5.
d. To find the fraction of the total length of the two poles that is the length of Pole A, we divide the length of Pole A by the sum of the lengths of both poles. We can find the sum by adding the lengths of Pole A and Pole B together, which is 4 + 5 = 9. So, the fraction we're looking for is 4/9.
e. Similarly, to find the fraction of the total length of the two poles that is the length of Pole B, we divide the length of Pole B by the sum of the lengths of both poles. Again, the sum is 9. So, the fraction we're looking for is 5/9.
A:B:(A+B) :: 4.5:1:5.5
a) A/(A+B) = 4.5/5.5 = 9/11
b) B/A = 1/4.5 = 2/9
c) A/B = 4.5
d) B/(A+B) = 1/5.5 = 2/11