Mathematics: Alock is numbered from 0-49. each combination uses three numbers in a right, left, right pattern. what is the total number of possible combinations for the lock?

In right triangle LMN are given the lenghts of two legs. You can find the value of and and then estimate the difference y-x.1. 2. Then correct choice is D...

Alock is numbered from 0-49. each combination uses

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danielhall

27.05.2022

Mathematics

In right triangle LMN are given the lenghts of two legs. You can find the value of $\tan x$ and $\tan y$ and then estimate the difference y-x.

$\tan x=\dfrac{LM}{LN}=\dfrac{14.1}{19.1}=\dfrac{141}{191},\\ \\x=\arctan \dfrac{141}{191}\approx 36.4^{\circ}.$

$\tan y=\dfrac{LN}{LM}=\dfrac{19.1}{14.1}=\dfrac{191}{141},\\ \\y=\arctan \dfrac{191}{141}\approx 53.6^{\circ}.$

Then

$y-x=53.6^{\circ}-36.4^{\circ}=17.2^{\circ}.$

correct choice is D

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Alock is numbered from 0-49. each combination uses three numbers in a right, left, right pattern. what is the total number of possible combinations for the lock?

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