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3 years ago

If sin(x)=m, with m>0, find the value of sin(pie-x)

Mathematics

1 answer:

viva [34]3 years ago

8 0

Answer:

Step-by-step explanation:

Sin (π - x ) = Sin x = m

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6/13=3/c what I the answer and show me how you got your answer.show me how you did it.

umka21 [38]

6 3
---- * ----
13 c

this is a proportion...so we cross multiply
(6)(c) = (3)(13)
6c = 39...divide both sides by 6
c = 39/6 which reduces to 13/2 or 6 1/2 <== ur answer

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3 years ago

Who was born in California and makes use of symbolism, folklore, oral tradition, popular stories and songs within his novels?

VladimirAG [237]

The correct answer is John Steinbeck. He is famous for his depiction of Californian common folk lives and even won a Nobel prize for his depictions of it.

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2 years ago

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What is the area of a half circle with a radius of 40 cm?

Andre45 [30]

Answer:

5027 square centimeters (cm2)

Step-by-step explanation:

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2 years ago

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Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .

kogti [31]

Answer:

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if $(x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}$ . From statement, we must fulfill the following identity:

$a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}$

By Associative and Commutative properties, we can reorganize the expression as follows:

$a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}$ (1)

Then, we have the following system of equations:

$x = a$ (2)

$(b^{2}-1) = 2\cdot x\cdot y$ (3)

$y = c$ (4)

By (2) and (4) in (3), we have the following expression:

$(b^{2} - 1) = 2\cdot a \cdot c$

$b^{2} = 1 + 2\cdot a \cdot c$

$b = \sqrt{1 + 2\cdot a\cdot c}$

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, $a, b, c > 1$ . If $a$ , $b$ and $c$ are prime numbers, then $2\cdot a\cdot c$ must be an even composite number, which means that $a$ and $c$ can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.