Answer:
a). Cards (1) and (4)
b). Cards (3) and (5)
Step-by-step explanation:
(a). From the cards attached,
If card (1) is rotated by an angle of 180° counterclockwise, we get the image given in card (4).
Therefore, card (4) will be the image of card (1) after a rotation.
(b). If we reflect card (3) across a horizontal line (or x- axis) image card (4) is obtained.
Therefore, card (3) and card (5) is the pair of cards.
Using vector concepts, it is found that:
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
<h3>How can a vector be represented in component notation?</h3>
Given a magnitude M and angle 
, then a vector V can be represented as follows in component notation:
In this problem, the magnitude and the angle are given, respectively, by:
Hence:
V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).
Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
More can be learned about vectors at brainly.com/question/24606590
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Answer:
Is there a picture to go along with this question
Step-by-step explanation:
The volume of the cylinder in discuss in which case, the radius of the cylinder is 3 inches and the height is inches is; V = 141.3in³.
<h3>What is the volume of the the described cylinder?</h3>
The cylinder in discuss according to the task content has radius, 3 inches and height, 5 inches.
Since the volume of a cylinder by convention is given as; V = πr²h
Therefore, the volume of the cylinder in discuss is;
V = π (3²)×5
V = 3.14 × 45
V = 141.3in³
Read more on volume of a cylinder;
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