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beks73 [17]
3 years ago
12

For any triangle show the sin theorem.show that,pls someone help me​

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Step-by-step explanation:

cot A + cot C

Write in terms of sine and cosine:

cos A / sin A + cos C / sin C

Common denominator:

(cos A sin C + cos C sin A) / (sin A sin C)

Angle sum formula:

sin(A+C) / (sin A sin C)

Angles of a triangle add up to π:

sin(π−B) / (sin A sin C)

Shift identity:

sin B / (sin A sin C)

Law of sines:

sin B / ((a sin B / b) × (c sin B / b))

sin B / (ac sin² B / b²)

b² / (ac sin B)

From law of cosine:

b² = a² + c² − 2ac cos B

b² = 2b² − 2ac cos B

b² = 2ac cos B

b² / (ac) = 2 cos B

Substituting:

2 cos B / sin B

2 cot B

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A group of 45 students went to a basketball game.
monitta

Answer:

See below. (C*a) + (P*b) = M

Step-by-step explanation:

amount of students = 45

amount of candy per student = 1

amount of popcorn per student = 1

Let "S" be the total amount of students

Let "C" be the total amount of candy

Let "P" be the total amount of popcorn

Let "T" be the total number of snacks

Let "a" be the price per candy

Let "b" be the price per popcorn

Let "M" be the total amount of money spent at the game

The price of the candy is unknown.

The price of the popcorn is unknown.

The total amount of money spent at the game is unknown.

(C*a) + (P*b) = M

I am not sure what you are asking for but, here is what I drew up for you. Hope this helps!

7 0
3 years ago
PLZ HELP
lana [24]

Answer:

Part A:

To find the total length of the two sides you want to add them together:

(3x^2-2x-1)+(9x+2x^2-2)= you want to combine all like terms

3x^2+2x^2=5x^2, you add your coefficients and keep the exponents the same

-2x+9x=7x, you would combine like terms

-1-2=-3, you would subtract according to Keep, Change, Change

You now have:

5x^2+7x-3= Sides A+B

5x^2+7x-3

Part B:

To find the length of the third side you want to take the perimeter of the triangle and subtract it from our answer in part A

(5x^3+4x^2-x-3)-(5x^2+7x-3)

When subtraction polynomials we want to change the subtraction sign to addition and change the signs of the other number to the opposite sign to prevent making mistakes from subtraction, so you're new equation will look like this:

(5x^3+4x^2-x-3)+(-5x^2-7x+3)

Now we add all like terms again

5x^3, doesn't combine with any others so we leave it the same

4x^2-5x^2=-x^2, subtract them but remember to keep the exponents the same

-x-7x=-8x, again subtract terms but keep variable

-3+3=0, they cancel out so we don't have to worry about putting anything for this one

So now we are left with

5x^3-x^2-8x as our length for the third side

Third side equals 5x^3-x^2-8x

Part C:

For part A we added to get the total of sides B and A

For part B we subtracted the total perimeter from the total lengths of B and A, to figure out what C equals

Hope this helps ;)

4 0
3 years ago
A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?
Shalnov [3]

Answer:

Option C. 1,024 bacteria

Step-by-step explanation:

We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;

So, Number of bacteria after one hour = 4 * 2 = 8

     Number of bacteria after two hours = 8 * 2 = 16

     Number of bacteria after three hours = 16 * 2 = 32

     Number of bacteria after four hours = 32 * 2 = 64

     Number of bacteria after five hours = 64 * 2 = 128

     Number of bacteria after six hours = 128 * 2 = 256

     Number of bacteria after seven hours = 256 * 2 = 512

     Number of bacteria after eight hours = 512 * 2 = 1,024

Therefore, 1,024 bacteria exist in the culture after 8 hours .    

7 0
3 years ago
What is the correct reason for statement 3?
olchik [2.2K]
The answer would be Associative Property.

Hope this helps you =)
4 0
3 years ago
Qual dos seguintes polinómios é igual a (x - 3)2 - x2
soldi70 [24.7K]
Bsbsvsvsvsvsvsvvzvzvzvzvzvz
7 0
3 years ago
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