GEOMETRY HELP : VWX and NOP are similar. If mV = 44° and mP = 66°, what is mW?
1 answer:
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Answer:
1/2
Step-by-step explanation:
The "Pythagorean relation" between trig functions can be used to find the sine.
<h3>Pythagorean relation</h3>The relation between sine and cosine is the identity ...
sin(x)² +cos(x)² = 1
This can be solved for sin(x) in terms of cos(x):
sin(x) = √(1 -cos(x)²)
<h3>Application</h3>For the present case, using the given cosine value, we find ...
sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)
sin(x) = 1/2
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<em>Additional comment</em>
The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...
sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)
A calculator can always be used to verify the result.
Answer:
The statement is false.
Step-by-step explanation:
Here we need to remember some things:
Integer numbers are closed under multiplication.
This means that for two integers a and b, the product a*b is also an integer.
A rational number is a number that can be written as the quotient of two integer numbers.
An irrational number is a number that can't be written as the quotient of two rational numbers.
Now let's see the statement:
"The product of two rational numbers is irrational."
The product of two rational numbers is written as:
Where a, c, b, and d are integers.
We can rewrite that product as:
Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.
Then the product of two rational numbers is a rational number.
Then the statement is false.