Answer: The correct is answer is: The subset consists of all the sandwiches with either white bread and ham or rye bread and turkey.
Step-by-step explanation: I got this question correct.
As shown in the figures given :
For Figure 1 : perimeter = 8 units [As can be seen in the figure]
For figure 2(with 2 octagons) : perimeter = 8 × 2 - 1 = 15 units [since 1 side is common ]
For figure 2(with 3 octagons) : perimeter = 8 × 3 - 2 = 22 units [since 2 sides is common ]
If one more octagon is added
then perimeter = 8 × 4 - 3 = 29 units [since 3 sides will be common ]
Answer:
x = 41
y = 65
z = 107
Step-by-step explanation:
y and 65 are vertically opposite angles. Vertically opposite angles are equal.
y = 65
74 + y + x = 180
74 + 65 + x = 180
139 + x = 180
x = 180 - 139
x = 41
z is the exterior angle, whereas 66 and x are interior angles in a triangle.
Formula : -
Exterior angle = Sum of two interior angles
z = 66 + x
= 66 + 41
z = 107
Let the origin of the coordinate system be the position of ship B at noon. Then the distance between the ships as a function of t (in hours) is
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)
The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)
At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots
The distance between the ships is increasing at about 28.37 knots at 4 pm.
That is 2(1/7 + 1/2)
= 2( 2/14 + 7/14)
= 2 * 9/14
= 18/14 = 9/7 units ( or 1 2/7 units)