Question

Who wants a free medal?

Answer 1

Just answer this :)

Answer 2

1. A triangular section of a lawn will be converted to river rock instead of grass. Maurice insists that the only way to find a missing side length is to use the Law of Cosines. Johanna exclaims that only the Law of Sines will be useful. Describe a scenario where Maurice is
correct, a scenario where Johanna is correct, and a scenario where both laws are able to be used. Use complete sentences and example measurements when necessary.

Answer 3

I dont need an answer i just need help with it

Answer 4

@mathmale

Answer 5

@RhondaSommer

Answer 6

Do you know what the law of sine and cosine are?

Answer 7

yes

Answer 8

it's not free if you have to do stuff

Answer 9

sorry

Answer 10

I do need help though

Answer 11

Yes so tell me what is the law of cosine? And what is the law of sines?

Answer 12

I gotchu

Answer 13

Okay so law of cosine is a^2=b^2+c^2-2bccosA

Answer 14

Okay so what do I do?

Answer 15

So the law of cosines require the length of two opposite sides and the angle between them to calculate the unknown side.

The law of sines require the measure of the opposite angle, and a separate measure of any length and its opposite angle to calculate the unknown side.

Whether they use the law of cosine/sines to calculate the unknown side depends on what they can measure on the lawn/what are the given lengths and angles on the lawn

Answer 16

Im sorry Im still so lost I'm the worst with sin and cos

Answer 17

\[a^2 = b^2 + c^2 - 2(b)(c)(\cos A)\]
The law of cosines require the length of two opposite sides and the angle between them to calculate the unknown side.

\[\frac{ \sin A }{ A } = \frac{ \sin B }{ B } = \frac{ \sin C }{ C }\]
The law of sines require the measure of the opposite angle, and a separate measure of any length and its opposite angle to calculate the unknown side.

Answer 18

It doesn't actually give me a triangle to work with. Would I need one to work the problem?

Answer 19

It doesn't. But I think you can assume that in any given case only certain side lengths and angles can be measured/are known to the group of people at the lawn

Answer 20

Then you can explain in what given cases cosine law can work, and in what other given cases sine law can work, and in what cases both laws can work. It's just an appreciation of how these laws work qualitatively without numbers. That's my take on this descriptive question.

Answer 21

Okay, I think I understand. Once I have my answer can you check it?

Answer 22

Okay

Answer 23

Sorry I will be going off first; I will be only able to check the next time I log in. You may want to check the answer with others/drop me a private message or I may miss it if it's posted here.

Answer 24

To use the Law of Cosines you must have the length of the two opposite sides and the angle between them to calculate the missing side. To use the Law of Sines you must have opposite angle, and a separate measure of any length and its opposite angle. For Maurice to be correct there would have to be measurements for side A and B on the triangle, as well as the angle between them. For Johanna to be correct, there would have to be a measure for the opposite angle and another measure for any length and its opposite angle. For both of these laws to be able to be used, you would have to know the length of two sides and an opposite angle measure.

Answer 25

Is that correct?

Answer 26

@Rebecca can you check my answer?

Answer 27

@jigglypuff314 @jabez177

Answer 28

i want one

Answer 29

@RhondaSommer

Answer 30

does this seem correct?

Answer 31

dude I don't know and don't care I want a free medal

Answer 32

@amtran_bus Ill give you one if you just read over my answer and make sure it's right

Answer 33

@RhondaSommer please

Answer 34

@dontknowdontcare It looks great except for your last part.

You wrote "For both of these laws to be able to be used, you would have to know the length of two sides and an opposite angle measure."

I would instead say "For both of these laws to be able to be used, you would have to know the length of two sides and any two angles."