Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
58
/15
Decimal Form:
3.8
6
Mixed Number Form:
3 13
/15
Step-by-step explanation:
Answer:
3 1/4 = 325%
or
31/4ths = 775%
whichever is your intended fraction
Step-by-step explanation:
Answer:
(c) 0
Step-by-step explanation:
Each of the terms in the expression represents a different transformation of a different trig function. Expressing those as the same trig function can make it easier to find the sum.
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We can start with the identity ...
cos(x) = sin(x +π/2)
Substituting the argument of the cosine function in the given expression, we have ...
cos(π/2 -θ) = sin((π/2 -θ) +π/2) = sin(π -θ) = -sin(θ -π)
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The first term, sin(π +θ), is a left-shift of the sine function by 1/2 cycle, so can be written ...
sin(π +θ) = -sin(θ)
The second term is the opposite of a right-shift of the sine function by 1/2 cycle, so can be written ...
cos(π/2 -θ) = -sin(θ -π) = sin(θ)
Then the sum of terms is ...
sin(π +θ) +cos(π/2 -θ) = -sin(θ) +sin(θ) = 0
The sum of the two terms is identically zero.
First of all, look at the figure, The ABC orientation is changed from clockwise to counterclockwise, so an odd number of reflections are involved.
Second, look at the answer choices. Right away, you notice that the last choice (E) involves two reflections. That cannot be the transformation you see. Since that is what the question is asking for, the appropriate choice for the transformation NOT done is ...
... E. reflection across the x-axis followed by a reflection across the y-axis
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I have to admit, I went through each of the choices to see if it would work to produce the image you see. All choices except E will do that. All that work turned out to be unnecessary.