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Alexxandr [17]
2 years ago
14

Annita is sewing a lace edge around a rectangular quilt. She will need 146 inches of lace to do the entire quilt. If the quilt i

s 38 inches wide, how long is the quilt?
Mathematics
1 answer:
Leokris [45]2 years ago
5 0

Answer:

35 inches long

Step-by-step explanation:

the answer is 35 inches long because if you do 38x2 because of the two sides you will get 76 then subtract 76 from 146 then you will get 70. Then do 70÷2 to find out the other side and i got 35

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Furkat [3]

Answer:

The answer is 3030.72 m³

Step-by-step explanation:

Please refer to attached file for graphical representation.

Formulas used:

Area = (a*b)/2

Trigonometry: Tan (t) = opposite/adjacent

Assume:

Villager plot has 3 sides: hypotenuse=C, adjacent=A, opposite=B

Plot given has 3 sides: hypotenuse=z, adjacent=y, opposite=x

Angle common between them is t.

<u>Step 1</u>:

For t:

Tan (t) = a/b

Tan (t) = 123/50

Tan (t) = 2.46

<u>Step 2:</u>

For y:

Tan (t) = y/x

2.46 = y/6

y = 2.46*6

y = 14.76

<u>Step 3:</u>

Villagers old plot area: B = (a*b)/2 = (123*50)/2

B = 3075 m³

<u>Step 4:</u>

Plot donated area: C = (x*y)/2 = (6*14.76)/2

C = 44.28 m³

<u>Step 5:</u>

Villager remaining plot:

A = B-C

A= 3075-44.28

A = 3030.72 m³

Download docx
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3 years ago
Which side lengths form a right triangle?
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