Answer:
Quotient = x - 7
Step-by-step explanation:
We are dividing x^2 - 5x +8 by x + 2
x + 2√x^2 - 5x + 8
Starting with dividing by x
x - 7
x + 2√ x^2 - 5x + 8
Multiplying x by x + 2
x
x + 2√ x^2 - 5x + 8
-
x^2 + 2x
= -7x + 8
Step ii, pick -7 for division
-7x + 8
-
-7x - 14
= +8 -(-14)
= 8+14
= 22
The answer is
( x - 7) remainder 22
(x - 7) is the quointent
22 is the remainder
By definition of tangent,
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
Recall the double angle identities:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1
where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):
sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))
and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.
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We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get
sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5
Then
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)
tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)
tan(2<em>θ</em>) = 24/7
First you would find the sum of 187.56 and 49.73 which is 237.29 then you subtract this number from 18.65 which is 218.64 that's your answer
Answer:
Step-by-step explanation:
Answer:
$5940
Step-by-step explanation:
19 groups = 19 x 300 = $5700
4 extra tickets = 4 x 60 = $240
$5700 + $240 = $5940
Total people going = 194
