Question

1. If 4, x and 9 are in continued proportion, find the value of x.
2. If 25,35 and x are in continued proportion, find the value of x.
3. The lengths of two ropes are in the ratio 7 : 5. Find the length of :
i) shorter rope, if the longer one is 22•5m
ii) longer rope, if the shorter is 9•8m.

Help please ASAP its my hw​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

1) 4, x and 9 are in continued proportion.

Therefore, 4 : x = x : 9

➪ x² = 4 x 9

➪ x =

$\sqrt{36} = 6$

2) 25, 35, and x are in continued proportion.

Therefore, 25 : 35 = 35 : x

➪ 35² = 25 x x

➪ x =

$\frac{35x35}{25} = 7x7 = 49$

3) i) Shorter Rope, if the longer one is 22∙5m.

Here, let the shorter rope be x.

7:5 = 22∙5 : x

➩ 7 x x = 5 x 22∙5

➩ x =

$\frac{5x22∙5}{7} = \frac{112∙5}{7} = 16∙07$

Step-by-step explanation:

Hope it helps!