If the ship can travel to either dock, which dock would be closest? Explain your answer. Michael’s dock would be closer because
the angle opposite is smaller. Jacob’s dock would be closer because the angle opposite is smaller. Michael’s dock would be closer because the docks are 20 miles apart. Jacob’s dock would be closer because the docks are 20 miles apart.
2 answers:
Answer : Michael’s dock would be closer because the angle opposite is smaller
Michael and Jacob are standing on two docks that are 20 miles apart. They are watching a ship that is out in the ocean. The angle between the dock and the line connecting Michael and the ship is 48°, and the angle between the other dock and the line connecting Jacob and the ship is 37°.
Explanation:
the angle between the other dock and the line connecting Jacob and the ship is 37°. The side opposite to angle 37 will be smaller. The distance between Michael and Ship will be smaller than Jacob and ship.
So Michael’s dock would be closer because the angle opposite is smaller.
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Answer:
5x - y = 27
Step-by-step explanation:
Slope is the direction of line and it is calculated as,
where (x₁, y₁) is any two points on the line.
Here, we have given that
Slope = 5 and (x₁, y₁) = (5, -2)
∴
⇒ 5(x - 5) = y + 2
⇒ 5x - 25 = y + 2
⇒ 5x - y = 27
Hence, the equation of a line is: 5x - y = 27
Answer: 0, 7, 14, 21, and 28
Step-by-step explanation: To find the first 5 multiples of 7, multiply 7 by the first 5 whole numbers which I have done for you in the image attached.
To quickly review, the set of whole numbers are shown below.
{0, 1, 2, 3, 4, ...}
The numbers that I have highlighted in green will be your first 5 multiples.
Answer:
The tree is 28 feet tall.
Step-by-step explanation:
It is given that:
Height of flag pole = 8 feet
Shadow of flag pole = 6 feet
Ratio of height to shadow = 8 : 6
Shadow of nearby tree = 21 feet
Height of nearby tree = x
Ratio of height to shadow = x : 21
8 : 6 :: x : 21
Product of means = Product of extremes
6x = 8*21
6x = 168
Dividing both sides by 6
Therefore,
The tree is 28 feet tall.