I´d say "d" is the distance from the eye to the wall.
Now substracting 1.2-1 you´ll get the distance of the wall of the smallest triangle = 0.2 And you do 1.5-0.2= 0.3 that´s the distance of the wall of the other triangle. Then you solve everything with Pitagoras theorem. You have 2 rectangle triangles.
B+alfa=45°
tan^-1(0.2/d)=B
tan^-1(1.3/d)=alfa
THEN:
tan^-1(0.2/d)+tan^-1(1.3/d)=45°
Now you have 3 ecs and 3 variables.
alfa,B and "d"
Answer:
so Omar approximately receives 393€
please mark brainliest!♡♡
Step-by-step explanation:
2000/5.087= 393.15903
Answer:Solve. 2a + 3b = 5 6= a -5 a = 4 b = -1 1 a = 6 b=1 a=6 6 = -1 a=4 6 = 1
Step-by-step explanation:
Answer: 27434
Step-by-step explanation:
Given : Total number of vials = 56
Number of vials that do not have hairline cracks = 13
Then, Number of vials that have hairline cracks =56-13=43
Since , order of selection is not mattering here , so we combinations to find the number of ways.
The number of combinations of m thing r things at a time is given by :-
![^nC_r=\dfrac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-
![^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434](https://tex.z-dn.net/?f=%5E%7B13%7DC_2%5Ccdot%20%5E%7B43%7DC_%7B1%7D%2B%5E%7B13%7DC_%7B1%7D%5Ccdot%20%5E%7B43%7DC_%7B2%7D%2B%5E%7B13%7DC_0%5Ccdot%20%5E%7B43%7DC_%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B13%21%7D%7B2%21%2813-2%29%21%7D%5Ccdot%5Cdfrac%7B43%21%7D%7B1%21%2842%29%21%7D%2B%5Cdfrac%7B13%21%7D%7B1%21%2812%29%21%7D%5Ccdot%5Cdfrac%7B43%21%7D%7B2%21%2841%29%21%7D%2B%5Cdfrac%7B13%21%7D%7B0%21%2813%29%21%7D%5Ccdot%5Cdfrac%7B43%21%7D%7B3%21%2840%29%21%7D%5C%5C%5C%5C%3D%5Cdfrac%7B13%5Ctimes12%5Ctimes11%21%7D%7B2%5Ctimes11%21%7D%5Ccdot%20%2843%29%2B%2813%29%5Ccdot%5Cdfrac%7B43%5Ctimes42%5Ctimes41%21%7D%7B2%5Ctimes41%21%7D%2B%281%29%5Cdfrac%7B43%5Ctimes42%5Ctimes41%5Ctimes40%21%7D%7B6%5Ctimes40%21%7D%5C%5C%5C%5C%3D3354%2B11739%2B12341%3D27434)
Hence, the required number of ways =27434