Total = 65
65-23=42
42/3=14
Each necklace = $14
Answer:
16% 1/12 8% 1/20
Step-by-step explanation:
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Answer:
x = 5![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
Using the tangent ratio and the exact value
tan60° =
, then
tan60° =
=
=
( multiply both sides by 5 to clear the fraction )
x = 5![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
For a function of
, the average rate of change can be found as follows:
![ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%20ARC%3D%5Cfrac%7Bf%28x_%7B2%7D%29-f%28x_%7B1%7D%29%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20)
So, we only need two points to compute this value. So, in this problem we have a table with several points, but the problem establishes that the ARC we need to find is the one between two points, that is, when x=3 and x=4. In this problem,
is the function, so:
![ARC=\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}\\ \\ ARC=\frac{9-8}{4-3} \\ \\ \therefore \boxed{ARC=1}](https://tex.z-dn.net/?f=ARC%3D%5Cfrac%7Bg%28x_%7B2%7D%29-g%28x_%7B1%7D%29%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%20%5C%5C%20ARC%3D%5Cfrac%7B9-8%7D%7B4-3%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20%5Cboxed%7BARC%3D1%7D)
Answer:
(-1,-4)
Step-by-step explanation:
Using the rule of when we rotate 90 degrees clockwise
(x,y) goes to (y,-x). We plug it in.
(4,-1) goes to (-1,-4).