What is the missing number in the sequence 4 6 10 18_66
1 answer:
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Answer:
Approximately (assuming that the bearing is
.)
Step-by-step explanation:
Let denote the speed of the ship, and let
denote the duration of the trip. The magnitude of the displacement of this ship would be
.
Refer to the diagram attached. The direction means
west of south. Thus, start with the south direction and turn towards west (clockwise) by
to find the direction of the displacement of the ship.
The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of . The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly
.
Since the hypotenuse is of length , the dashed line segment opposite to the
vertex would have a length of:
.
Substitute in and
:
.
Answer: the diagonal is 10 units
Step-by-step explanation:
The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.
To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 5² + (5√3)²
d² = 25 + 25×3 = 100
d = √100
d = 10 units
