Answer:
1/2
Step-by-step explanation:
So do this, think of an equilateral triangle. A 30-60-90 triangle is just half of an equilateral triangle. If the original side length was x, then the hypotenuse is x, one leg is x/2, and the third, by Pythagorean theorem, is x sqrt3
Sin is opposite over hypotenuse, so we have (x/2)/x = 1/2
Function and its inverse was graphed.
<u>Step-by-step explanation:</u>
y = -4x²- 2
To find the inverse function of y = -4x²- 2 we have to transform the formula to calculate x in terms of y.
y = -4x²- 2
-4x² = y - 2
x = √(y-2) / -4
Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:
y = √(x-2) / -4
Now we have to draw the graph as,
It was side by side that is LHS is the function and the RHS is its inverse.
Answer:
Could you rewrite this question in english so we can understand what is being asked? Thank you!
Step-by-step explanation:
Write the correct equation. Direct variation problems are solved using the equation y = kx. When dealing with word problems, you should consider using variables other than x and y, you should use variables that are relevant to the problem being solved. Also read the problem carefully to determine if there are any other changes in the direct variation equation, such as squares, cubes, or square roots.
Answer:
<u>Step-by-step explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>
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Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
Note: 12² + opposite² = 20² → opposite = 16
Note: adjacent² + 5² = 6² → adjacent = √11
Note: adjacent² + 7² = (13√2)² → adjacent = 17