Answer:
B) (x^2-2x)/(2x+6)
Step-by-step explanation:
When dividing fractions, it's just like multiplying the reciprocal of the second fraction : x/y divided by z/w = x/y * w/z.
We use that and we get (x-2)/(x+3) * x/2. we simplify and get x(x-2)/2(x+3). So Our answer is B
Total possibilities would be:
(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
You want 5 on at-least one, so mark 5th column & 5th raw.
There are 6 in both lines with 1 common = (5,5)
In short, Your Answer would be 11
Hope this helps!
Answer:
9
Step-by-step explanation:
Each person has three possibilities of where to stand.
For all <em>x</em>,
sin²(<em>x</em>) + cos²(<em>x</em>) = 1
so we have
(1 - cos²<em>A</em>) csc²<em>A</em> = sin²<em>A</em> csc²<em>A</em>
and since csc(<em>x</em>) = 1 / sin(<em>x</em>), so the expression reduces to 1.
Answer:
B) 22.0
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Adjacent = x
Opposite = 8
θ = 20°
tan θ = 8/x
tan 20° = 0.364
0.364 = 8/x
Cross Multiply
0.364 × x = 8
Divide both sides by 0.364
x = 8/0.364
x = 21.978021978
Approximately, x ≈ 22.0
Option B is the correct option