If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

(true for <em>y</em> between -π/2 and π/2)
Now take the derivative of both sides and solve for it:




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➷ As they are similar triangles, there will be a scale factor between them. You may be given one pair of values on the triangle. Divide the larger value by the smaller value in order to find the scale factor between the triangles. For example, if the larger triangle has a length of 6cm and the smaller triangle has a length of 3cm, the scale factor would be 2. You would then multiply the given side by the scale factor to get the length.
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Answer: 6 for $7.50
Step-by-step explanation:
6 * 1.30 = $7.80
6 for $7.50
Y and x are directly proportional, as stated by hypothesis. Let's use the rule of three to find y when x = 8.
x=5 --> y=12
x=8 --> y=?
? = (8*12)/5 = 96/5 = 19.2
So y directly varies with x, and y=12 when x = 5, then y=19.2 when x=8.
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