Answer:
1/4
Step-by-step explanation:
3 red + 6 green = 9 total
P( red) = red/total = 3/9 = 1/3
Now we don't put it back
2 red + 6 green = 8 total
P( green) = green/total = 6/8 = 3/4
P (red, keep,green) = 1/3 * 3/4 = 1/4
Answer:
<h3>cosθ = c/√1+c²</h3>
Step-by-step explanation:
Given cot θ = c and 0 < θ < π/2
In trigonometry identity:
cotθ = 1/tanθ = c
1/tanθ = c
cross multiply
tanθ = 1/c
According to SOH, CAH, TOA:
Tanθ = opposite/adjacent = 1/c
cosθ = adjacent/hypotenuse
To get the hypotenuse, we will use the pythagoras theorem:
hyp² = opp²+adj²
hyp² = 1²+c²
hyp = √1+c²
Find cosθ in terms of c
cosθ = c/√1+c²
Hence the formula for cos θ in terms of c is cosθ = c/√1+c²
The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
For this type of equation, you will need to use point-slope formula [Y-y1=a(x-x1)] Lets work it out.
Y+3=1/3(x-9)
Y+3=1/3x-3
Subtract 3 from both sides so
Y=1/3x
