There are 90 people in the cafeteria. 50 are wearing red shirts, 15 are wearing green shirts, and the rest are wearing blue shir
1 answer:
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Answer:
- 52.35 m
Step-by-step explanation:
<em>Refer to picture.</em>
Let the distance to men are x and y and the distance between them is d.
The angle of depreciation is 27° and 30°, hence top angle of the triangle is 63° or 60°.
<u>Find the distance from the tower to men:</u>
- x = 20 tan 63° = 39.25 m
- y = 20 tan 60° = 34.64 m
<u>The distance between men is:</u>
- d =
<em>Note, all numbers are rounded</em>
<h3>Answer: y = 2x+6</h3>
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Explanation:
We'll need the slope first
m = slope
m = (y2-y1)/(x2-x1)
m = (0-(-4))/(-3-(-5))
m = (0+4)/(-3+5)
m = 4/2
m = 2
The slope is 2.
Next, pick either of the two given points to play the role of
Let's say we picked on (-5,-4). The order doesn't matter so you could easily pick the other point as well.
We'll plug these items into the point slope equation below to solve for y.
Or we could have picked on (-3,0). The m value stays the same (at m = 2)
This one takes a few less steps. Either way, we get to the same answer.
You only need to pick one of the points, but doing both of them helps show that the two points are on the same line. It helps confirm the answer.
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Another way to check the answer is to plug the (x,y) coordinates into y = 2x+6 for each point.
So let's say we check (x,y) = (-5,-4)
y = 2x+6
-4 = 2(-5)+6 ... replace x with -5, replace y with -4
-4 = -10+6
-4 = -4
This confirms the first point. I'll let you check the second point.
Answer:
Step-by-step explanation:
Angles in a triangle add up to 180°
Angles in a straight line add up to 180°