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garik1379 [7]
2 years ago
13

Evaluate the expression shown below and write your answer as a fraction in simplest form 3/20 + 7/16 ​

Mathematics
1 answer:
slavikrds [6]2 years ago
3 0

Answer:

Add

3 over 20

3

20

+ 7 over 16

7

16

= 47 over 80

47

80

Step 1 of 2: Add, sub-step a: Find the common denominator.

Find common denominator

3 over 20

3

20

+ 7 over 16

7

16

= ( 3 × 4 ) over ( 20 × 4 )

3 × 4

20 × 4

+ ( 7 × 5 ) over ( 16 × 5 )

7 × 5

16 × 5

= 12 over 80

12

80

+ 35 over 80

35

80

80 is the least common multiple of denominators 20 and 16. Use it to convert to equivalent fractions with this common denominator.

Add

12 over 80

12

80

+ 35 over 80

35

80

= ( 12 + 35 ) over 80

12 + 35

80

= 47 over 80

47

80

Step 1 of 2: Add.Hide

Step 2 of 2: Simplify.

Simplify

47 over 80

47

80

Step 2 of 2: Simplify, sub-step a: Reduce the fraction to the lowest terms.

Reduce the fraction to lowest terms

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Answer:

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Step-by-step explanation:

Refer to the sketch attached. The height of the tower can be found in two parts:

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Each part can be seen as a leg of a right triangle. The other leg is the distance between the building and the tower and is 300-feet long. The angle opposite to the leg is given.

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The height of the tower is the sum of the two parts:

300\cdot \sin{42^{\circ}} + 300\cdot \sin{37^{\circ}} = 300(\sin{42^{\circ}}+\sin{37^{\circ}}) = 381 feet.

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