In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have
In order to find XY, we have
So, the ratio for the sine is
Which lists the side lengths in order from shortest to longest?
1 answer:
Answer:
A. d, e, f
Step-by-step explanation:
Suppose there is a triangle DEF in which,
EF = d, DF = e, DE = f, ∠D = 48°, ∠F = 73°,
∵ Sum of all interior angles of a triangle is 180°,
⇒ ∠D + ∠F + ∠E = 180°,
⇒ 48° + 73° + ∠E = 180°,
⇒ 121° + ∠E = 180°,
⇒∠E = 59°,
Now, in a triangle the angle opposite to the largest side is largest, opposite to medium angle is medium and opposite to the smallest side is smallest,
∵ ∠F > ∠E > ∠D
By the above statement,
f > e > d
Hence, FIRST OPTION is correct.
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As given,
Weekly rent of Mr. Thomson is = $104.92
Part A: What is Mr. Thompson's yearly rent (using 52 weeks)?
Rent for 1 week = 104.92
Rent for 52 weeks = = $5455.84
Part B: What was the average grocery expense in this time period?
Mr. Thomson purchased groceries on 2/18 for $33.45 and on 3/5 for $28.56
Hence average grocery expense is =
= $31 per week or $62.01 per month
Part C: Mr. Thompson estimates his yearly expense for groceries to be:
The monthly expense for groceries is = $62.01
So yearly expense will be = = $744.12