If the sales tax is 7% and the purchase price is $161, what is the amount of tax?
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<h3>A.</h3>
See below for a graph
<h3>B.</h3>The inverse of a function appears on a graph as the reflection of the function across the line y=x. This is because the inverse relation is effectively the same relation with the variables x and y swapped. Here, the graphs of f(x) and g(x) are mirror images of each other across the line y=x, so we can see they are inverse functions.
The same technology allows us to graph y=f(g(x)) and y=g(f(x)). Both are graphs of y=x, as expected.
The ratios of sin x° and cos y° are 15/8.
We have given that,
Use the image below to answer the following question.
We have to determine to find the value of sin x° and cos y°.
By applying Pythagoras theorem in the triangle given in the picture,
<h3>What is the Pythagoras theorem?</h3>(Hypotenuse)² = (leg 1)² + (leg 2)²
PO² = (15)² + 8²
PO² = 225 + 64
PO = √289
PO = 17
By applying the sine rule in the given triangle,
sin(x°) = Opposie side/hypotenous
= 15/17
cos(y°) = Adjucent side/hypotenous
= 8/17
The relation between the ratio of sin(x) and cos(x) will be,
Therefore the ratios of sin x° and cos y° are 15/8.
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