Answer:
see explanation
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
MP = LN , substitute values
9x - 6 = 6x + 9 ( subtract 6x from both sides )
3x - 6 = 9 ( add 6 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Thus
MP = 9(5) - 6 = 45 - 6 = 39 and LN = 6(5) + 9 = 30 + 9 = 39
The given range is comprised of cards with a value between 3 and 7, inclusive, and there are 4 of each from the available suits. So there are 20 cards that fit the bill.
The probability of drawing 1 such card is
Which of the following accurately describes cot(336°)
Options are
cot(-336°)
cot(24°)
cot(-24°)
-cot(-24°)
Answer : cot(-24°)
In a circle the total angle is 360 degrees. 336 degree lies in fourth quadrant.
360 degree - 336 degree = 24 degree
+24° lies on first quadrant and -24° lies on fourth quadrant.
So cot(336) is same as cot(-24)
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
