A ramp leading into a building makes a 15 degree angle with the ground. The end of the ramp is 10 feet from the base of the buil
ding. Approximately how long is the ramp? Round to the nearest tenth.
2 answers:
Answer:
10.4 feet.
Step-by-step explanation:
Let l be the length of the ramp which is leaning against the building,
Given,
The ramp makes a 15 degree angle with the ground.
Also, the distance of one end of ramp from the base of the building = 10 feet,
A building is generally supposed to perpendicular the ground,
Hence, By making the diagram,
We get,
( Trigonometric ratio ),
Therefore, the ramp is approximately 10.4 feet long.
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Answer:
Step-by-step explanation:
Given
Interval: (-2,4)
Required
Determine the average rate of change
This is calculated using:
Where:
So, we have:
Calculate g(4) and g(-2)
So:
<em>Hence, the average rate of change is 1</em>
A) 
B) 1/4 = 25%
C) 1/8 = 12.5%
Explanation
A) Let x = the number of yellow blocks. Then x+4 = the number of red blocks, and x+x+4=2x+4 is the total number of blocks.
The probability of choosing a red block first would be
since there are x+4 red blocks out of 2x+4 total blocks.
The probability of choosing a yellow block after the red block would be
since there are x yellow blocks, and after 1 is chosen, there are 2x+3 total blocks remaining.
This gives the total probability of
B) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a red block first would be 10/16, and the probability of getting a yellow block after the red block would be 6/15. Together this gives us
10/16(6/15) = 60/240 = 1/4 = 0.25 = 25%
C) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a yellow block first is 6/16, and the probability of getting a second yellow block after the first one is 5/15. Together this gives us
6/16(5/15) = 30/240 = 1/8 = 0.125 = 12.5%
B) 1/4 = 25%
C) 1/8 = 12.5%
Explanation
A) Let x = the number of yellow blocks. Then x+4 = the number of red blocks, and x+x+4=2x+4 is the total number of blocks.
The probability of choosing a red block first would be
since there are x+4 red blocks out of 2x+4 total blocks.
The probability of choosing a yellow block after the red block would be
since there are x yellow blocks, and after 1 is chosen, there are 2x+3 total blocks remaining.
This gives the total probability of
B) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a red block first would be 10/16, and the probability of getting a yellow block after the red block would be 6/15. Together this gives us
10/16(6/15) = 60/240 = 1/4 = 0.25 = 25%
C) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a yellow block first is 6/16, and the probability of getting a second yellow block after the first one is 5/15. Together this gives us
6/16(5/15) = 30/240 = 1/8 = 0.125 = 12.5%