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Ludmilka [50]
4 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]4 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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The sum of three numbers is 110. The third number is 3 times the first. The second number is 5 more than the first. What are the
g100num [7]

Answer:

The numbers are 63, 26, & 21

Step-by-step explanation:

110 = 3x + (5 + x) + x

105 = 3x + 2x

105 = 5x

21 = x

Plug it back into the first equation to find your values

6 0
3 years ago
Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = –3 and x
Effectus [21]
The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way. 

For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.

For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.
7 0
3 years ago
PLEASE HELP
polet [3.4K]

Answer:

Hope it helps you

thanks

5 0
3 years ago
Mrs. Simpson drove 105 miles in 2 1/2 hours. What was Mrs. Simpson's average speed in miles per hour?
harkovskaia [24]
105 m = 2.5 h
 
x miles = 1 hour

You cross multiply since it's a proportion:
2.5 * x
105 * 1

=

2.5x = 105

Then you divide everything by 2.5

The answer is 42




5 0
3 years ago
Read 2 more answers
What statement is true?
givi [52]

Answer:

\frac{18}{32}>\frac{16}{32}

Step-by-step explanation:

We need to find which statements are true.

Solution to find the same we will solve each statement and will conclude the same.

1.  \frac{14}{21}>\frac{17}{24}

Now On solving we get;

\frac{14}{21} = 0.66

\frac{17}{24}=0.70

So we can see that 0.70 > 0.66

Hence The given statement is False.

2. \frac{18}{32}>\frac{16}{32}

Now On solving we get;

\frac{18}{32}=0.5625

\frac{16}{32}= 0.5

So we can see that 0.5625 > 0.5

Hence The given statement is True.

3.  \frac{20}{15}

Now On solving we get;

\frac{20}{15} = 1.33

\frac{28}{23}=1.2

So we can see that 1.33 > 1.2

Hence The given statement is False.

4.  \frac{29}{35}

Now On solving we get;

\frac{29}{35}= 0.82

\frac{20}{30}= 0.66

So we can see that 0.82 > 0.66

Hence The given statement is False.

7 0
3 years ago
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