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Ludmilka [50]
3 years ago
5

Describe, in detail, when to use the law of cosines, the law of sines, and the law of sines with the ambiguous case. Provide gen

eral guidelines, in your own words, for each law that can be applied to any triangle situation with which you are presented. To aid in your explanation, you may refer to specific problems from the text.Your response must include
The law of cosines
The law of sines
The ambiguous case (law of sines)
General guidelines in your own words that can be applied to any triangle.
At least 100 words in complete sentences with appropriate grammar and spelling.
Mathematics
1 answer:
shutvik [7]3 years ago
7 0
You can use the Law of Cosines, if only one of which is missing: three sides and one angle. Hence, if the known properties of the triangle is SSS(side-side-side) or SAS (side-angle-side), this law is applicable.

You can use the Law of Sines if you want to equate the ratio of the sine of an angle and its opposite side. This can be used if the known properties of the triangle is ASA(angle-side-angle) or SAS.

The ambiguous case is the SAS triangle. This could be easily solved using Law of Sines than Law of Cosines. Take for example: side a = 4, side b = 10, angle A = 23°. Then, we can determine angle B through Sine Law.

sin 23°/4 = sin B/10
B = 77.64°
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3 years ago
Determine which of the following formulas hold for all invertible n×n matrices A and B.
garik1379 [7]

Answer:

1 hold

2 hold

3 does not hold

4 hold

5 hold

6 hold

7 does not hold

8 does not hold

9 Does not hold

10 Hold

Step-by-step explanation:

The detailed step by step verification is as shown in the attachment

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3 years ago
0.5m + 6.4 = 4.9 - 0.1m
BigorU [14]
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m = -2.5
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3 years ago
What is one solution of 5x-13<br>​
Oduvanchick [21]

Answer:

5x-13= 12

Step-by-step explanation:

5x-13 = 12

    +13   +13

------------------------

5x= 25

x=5

5 0
3 years ago
(NO LINKS I WILL REPORT!)
nevsk [136]

Answer:

b. $35.61

Step-by-step explanation:

First, convert the 25% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 25%) by 100%.So, the conversational term "25%" becomes 25% / 100% = 0.25 in terms of a real mathematical number.

Second, you need to find out what 25% of your $28.49 meal cost is.This is always done by multiplying 0.25 by $28.49, or

<h2>                       0.25 x $28.49=$7.12. </h2>

So, the amount of tip you are going to leave is $7.12.

This makes the total cost of your meal (to write on your charge slip or other payment)

<h2>                      $28.49 + $7.12 = $35.61. </h2>

4 0
3 years ago
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