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Umnica [9.8K]
3 years ago
7

An amount was shared in the ratio 8:6:9:14:12.The largest share was56.What was the total amount shared?

Mathematics
1 answer:
lutik1710 [3]3 years ago
6 0

Answer:

196

Step-by-step explanation:

Since the largest share was 56 and the largest ratio is 14, then

56 ÷ 14 = 4 ← value of 1 part of the share, thus

8 parts = 8 × 4 = 32

6 parts = 6 × 4 = 24

9 parts = 9 × 4 = 36

14 parts = 14 × 4 = 56

12 parts = 12 × 4 = 48

Total the amounts

total = 32 + 24 + 36 + 56 + 48 = 196

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We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.  

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

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