Sure, that's what solving triangles is. Trigonometry has a short menu. Basically we choose between three formulas: Law of Sines, Law of Cosines, Sum of Triangle Angles
The Law of Sines has two sides and two opposite angles; given any three we can solve for the fourth.
The Law of Cosines has three sides and one angle; again given any three we solve for the remaining one.
The Sum of Triangle Angles says all three angles add to 180 degrees, so given two we can find the third.
Here we have all the angles and one side, that's Law of Sines to get the remaining sides.
Answer:
a) 131/450
b) 1233/1276
Step-by-step explanation:
P(bad) = P(1st batch)*P(bad 1st batch ) + P(2nd batch )*P(bad 2nd batch) + P(3rd batch )*P(bad 3rd batch)
p(bad) =(60/360)*(1/3) + (120/360)*(1/4 ) + (180/360)*(1/5)
= 43/180
And that of P(good )
= 1 - 43/180
= 137/180
a)
P(defective) = P(bad)*P(defective /bad) + P(good)*P(defective /good)
= (43/180)*(9/10) + (137/180)*(1/10)
= 131/450
b)
P(Bc I Dc ) = P(good)*P(not defective |good) / P(not defective)
= (137/180)*(1 - 1/10) / (1 - 131/450)
= 1233/1276
![\bf a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}}\\ ---------------\\ thus\\ (x+4)^{-1}\implies \cfrac{1}{x+4} \\\\ ](https://tex.z-dn.net/?f=%5Cbf%20a%5E%7B-%7B%20n%7D%7D%20%5Cimplies%20%5Ccfrac%7B1%7D%7Ba%5E%7B%20n%7D%7D%5Cqquad%20%5Cqquad%0A%0A%5Ccfrac%7B1%7D%7Ba%5E%7B%20n%7D%7D%5Cimplies%20a%5E%7B-%7B%20n%7D%7D%5C%5C%0A---------------%5C%5C%0Athus%5C%5C%0A%28x%2B4%29%5E%7B-1%7D%5Cimplies%20%5Ccfrac%7B1%7D%7Bx%2B4%7D%0A%5C%5C%5C%5C%0A)
![\bf if\qquad \cfrac{1}{0} \implies](https://tex.z-dn.net/?f=%5Cbf%20if%5Cqquad%20%5Ccfrac%7B1%7D%7B0%7D%20%5Cimplies)
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so.. what value of "x" makes x+4 to 0?
the domain will be, all real numbers, except that value
about the range, "y" will take, whateve "x" can provide.. in this case... I think is all real numbers, except 0, because, if you give a few big values to "x", the fraction will simply have a bigger and bigger denominator, making the fraction smaller and smaller, ever approaching 0, but never getting there
Answer:
20 km/h
Step-by-step explanation:
the total time is 0.5 hours as the cyclist travels for 30 minutes
the formula for speed is distance travelled divided by time taken which gives us 20 km/hr