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notka56 [123]
3 years ago
13

The price of a technology stock has dropped to $9.61 today. Yesterday's price was $9.74. Find the percentage decrease.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
4 0

Answer:

1.33%

Step-by-step explanation:

$9.74 - $9.61 = $0.13

(0.13 divided by $9.74) times 100

=1.33%  

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In triangle ABC, a = 3, b = 5, and c = 7. Find the approximate value of angle A. 22° 38° 142° 158°
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<h3>Answer: 22 degrees</h3>

=======================================

Explanation:

Use the law of cosines to isolate angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

3^2 = 5^2 + 7^2 - 2*5*7*cos(A) ... plug in a=3, b=5, c=7

9 = 25 + 49 - 70*cos(A)

9 = 74 - 70*cos(A)

74 - 70*cos(A) = 9

-70*cos(A) = 9 - 74 .... subtract 74 from both sides

-70*cos(A) = -65

cos(A) = -65/(-70) ... divide both sides by 70

cos(A) = 13/14

A = arccos(13/14) .... apply the arcosine function to both sides

A = 21.7867892982619

This rounds to 22 degrees

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