Answer: 12.20 feet.
Step-by-step explanation:
Observe in the figure attached that a right triangle is formed.
Then, you need to remember the identity:
In this case you can identify that:
Then, to find the length of the wooden board (x), you need to substitute values and solve for x.
Therefore, you get:
The length of the wooden board is: 12.20 feet.
The last two easy transformations involve flipping functions upside down (flipping them around the x-axis), and mirroring them in the y-axis.
The first, flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is –f (x).
<h3>
Answer: 37 degrees</h3>
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Explanation:
The angle of incidence is equal to the angle of reflection. The angle of light coming in is the same as the angle of light bouncing out. Each angle is made with the dashed line as the diagram shows.
So angle RMI = 106 is bisected, i.e. divided in half, to get
- Angle RMN = 53
- Angle NMI = 53
since 106/2 = 53
Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,
angle RMJ = (angle NMJ) - (angle RMN)
angle RMJ = 90 - 53
angle RMJ = 37 degrees
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In short: divide 106 in half to get 53, then subtract it from 90
Answer:
Step-by-step explanation:
There are 1000 m in 1 km, and 3600 s in 1 h, so the speed conversion is ...
The car's speed is 90 km/h.
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In 2 hours, the car will travel ...
distance = speed · time = (90 km/h)(2 h) = 180 km
