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3 years ago

Find sin(C). round to the nearest hundredth if necessary.

Mathematics

2 answers:

natka813 [3]3 years ago

6 0

For this case we have to define trigonometric relations of rectangular triangles that the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. That is to say:

$Sin (C) = \frac {5} {13}\\Sin (C) = 0.38$

Answer:

Option A

Basile [38]3 years ago

5 0

Answer:

A) 0.38

Step-by-step explanation:

By SOH CAH TOA, the sine of an angle is its opposite side divided by the hypotenuse.

The opposite of ∠C is 5, and the hypotenuse is 13.

So, sin(C) = 5/13 ≈ 0.38.

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Use complete sentences to describe why √-1 ≠ -√1

tekilochka [14]

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

$\displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }$

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

$\displaystyle \large{ {a}^{2} = a \times a = |b| }$

Where b is the result from a×a. Let's see an example.

Examples

$\displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}$

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

$\displaystyle \large{ {y}^{2} = - 1}$

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

$\displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }$

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

$\displaystyle \large{ \sqrt{ {x}^{2} } = |x| }$

Solving absolute value always gives the plus-minus. Therefore...

$\displaystyle \large{ y = \pm \sqrt{ - 1} }$

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

$\displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }$

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

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3 years ago

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HELLO!! I REALLY NEED SOME HELP WOTH THIS QUESTION, ITS DUE SOON AND IF YOU CAN SHOW WORK THAT WOULD REALLY HELP THX!!

Marysya12 [62]

Answer:

$g(x)=(x+4)^2-5$

Step-by-step explanation:

g(x) is shifted 5 down in the y axis, meaning you have to subtract 5 from the function, and is shifted 4 to the left in the x axis- meaning you have to add to the x's in the function.

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3 years ago

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Help please how to do these questions. ??

Lina20 [59]

You can only show 2 halves in a square, because the definition of a half is that there are 2 parts.

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How to find volume of sphere explain step by step

Sergeu [11.5K]

Answer: What is the easiest way to find the volume of a sphere?

Image result for How to find volume of sphere explain step by step

To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. If you don't have the radius, you can find it by dividing the diameter by 2. Once you have the radius, plug it into the formula and solve to find the volume.

Step-by-step explanation:

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Jamie went deep sea diving. If he descends at a rate of 4 feet per minute, what integer represents his depth after 8 minutes?

Olegator [25]

Answer: 32 ft.

Step-by-step explanation:

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