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adoni [48]
3 years ago
14

Question: Find the ratio of the width to the length of the rectangular swimming pool sketched below. Width=5.5 yards | Length=7.

5 yards | Answers are: A) 11/24 yards B) 2.75/15 yards C) 15/11 yards D) 11/15 yards. Which one is it?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer:

D) 11/15

Step-by-step explanation:

11/15 is the doble amount of 5.5/7.5, but is the same number if you divide it.

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Answer:

Option B. 9.11

Step-by-step explanation:

To find the length of line AB, we must first of all calculate the value of θ as shown in the attached photo.

The value of θ can be obtained as follow:

θ + 39° + 120° = 180° (sum of angles in a triangle)

θ + 159° = 180°

Collect like terms

θ = 180° – 159°

θ = 21°

Thus, we can obtain the length of line AB by using sine rule as illustrated below:

b/Sine B = c/Sine C

b = 16

Angle B = 39°

Sine C = 21°

c =?

b/Sine B = c/Sine C

16/Sine 39° = c/Sine 21°

Cross multiply

c × Sine 39° = 16 × Sine 21°

Divide both side by Sine 39°

c = (16 × Sine 21°) / Sine 39°

c = 9.11

Therefore, the length of line AB is 9.11

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