Answer:
The third one
Step-by-step explanation:
consider the following image
![\frac{10}{\sqrt{2} } =5\sqrt{2}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B%5Csqrt%7B2%7D%20%7D%20%3D5%5Csqrt%7B2%7D)
Answer:
-7
Step-by-step explanation:
Given
![\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccc%7Dx%20%26%20%7By%7D%20%26%20%7BFirst%5C%20difference%7D%20%26%20%7B-2%7D%20%26%20%7B34%7D%20%26%20%7B%7D%26%7B-1%7D%20%26%20%7B27%7D%20%26%20%7B%7D%20%26%7B0%7D%20%26%20%7B20%7D%20%26%20%7B%7D%20%26%20%7B1%7D%20%26%20%7B13%7D%20%26%20%7B%7D%20%26%20%7B2%7D%20%26%20%7B6%7D%20%26%7B%7D%20%5C%20%5Cend%7Barray%7D)
Required
The first difference
To do this, we simply calculate the difference between the consecutive y-values.
i.e.
![d = y_{n+1} - y_n](https://tex.z-dn.net/?f=d%20%3D%20y_%7Bn%2B1%7D%20-%20y_n)
So, we have:
![d = y_2 - y_1 = 27 - 34 = -7](https://tex.z-dn.net/?f=d%20%3D%20y_2%20-%20y_1%20%3D%2027%20-%2034%20%3D%20-7)
![d = y_3 - y_2 = 20 - 27 = -7](https://tex.z-dn.net/?f=d%20%3D%20y_3%20-%20y_2%20%3D%2020%20-%2027%20%3D%20-7)
![d = y_4 - y_3 = 13 - 20 = -7](https://tex.z-dn.net/?f=d%20%3D%20y_4%20-%20y_3%20%3D%2013%20-%2020%20%3D%20-7)
![d = y_5 - y_4 = 6-13 = -7](https://tex.z-dn.net/?f=d%20%3D%20y_5%20-%20y_4%20%3D%206-13%20%3D%20-7)
<em>Hence, the first differences are -7 (all through)</em>
For the first digit you are choosing from 2 digits
for the second digit you are choosing from 2 digits
for the third digit you are choosing from 2 digits
2*2*2=8
111
110
011
101
000
001
100
010
However......
A number doesn't usually start with a 0 or 0s.
Therefore, if you want 3-digit numbers and not just permutations using 0 and 1, then you must eliminate
011, 000, 001, and 010
Seeing that the first digit can't be 0, you choose from 1, then 2, and then 2 digits again; 1*2*2=4 numbers
You choose which answer best suits your problem.
If 2 eggs with bacon cost 2.70, and 1 egg with bacon costs 1.80, that means that 1 egg costs 0.90, so when we subtract once more 0.90 we get the price of the bacon alone, which is in this case 0.90.
Tan(12) = 40/d
d = 40/tan(12)
d = 188.19m