Mathematics, 11.10.2019 22:00 jrfranckowiak

(this is a "show your work" type of assignment)

1. can you use pythagorean theorem to find the missing side? why or why not?

2. would you use law of sine or law of cosine to find the length of side cb? explain your answer.

3. find the length of side cb. show your work and round your answer to the nearest whole number.

4. find the measure of angle c. (hint: use the other “law”). round your answer to the nearest whole degree.

5. what is the measure of angle b? show your work and round your answer to the nearest whole degree.

(this is a "show your work" type of assignment) 1. can you use pythagorean theorem to fi

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Answers

Answer from: mathscience9301

Part 1) It is not possible to apply the Pythagorean Theorem to find the missing side, because is not a right triangle

Part 2) I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) The length of side CB is $369\ units$

Part 4) The measure of angle C is $35\°$

Part 5) The measure of angle B is $88\°$

Step-by-step explanation:

Part 1) Can you use Pythagorean Theorem to find the missing side?

we know that

The Pythagorean Theorem is used in a right triangle

The triangle ABC of the figure is not a right triangle

therefore

It is not possible to apply the Pythagorean Theorem to find the missing side

Part 2) Would you use Law of Sine or Law of Cosine to find the length of side CB?

I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) Find the length of side CB. Show your work and round your answer to the nearest whole number

Applying the law of cosine

$BC^{2}=AB^{2}+AC^{2}-2(AB)(AC)cos(A)$

substitute the values

$BC^{2}=255^{2}+440^{2}-2(255)(440)cos(57\°)$

$BC^{2}=136,408$

$BC=369\ units$

Part 4) Find the measure of angle C. (Hint: use the other “Law”). Round your answer to the nearest whole degree

Applying the law of sines

$\frac{AB}{sin(C)}=\frac{CB}{sin(A)}$

substitute the values

$\frac{255}{sin(C)}=\frac{369}{sin(57\°)}$

$sin(C)=255*sin(57\°)/369=0.5796$

$C=arcsin(0.5796)=35\°$

Part 5) What is the measure of angle B? Show your work and round your answer to the nearest whole degree.

Remember that

the sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values and solve for <B

$57\°+$

Answer from: Quest

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.