Answer: The ramp would be 15.5 feet long.
Step-by-step explanation: Please refer to the attached diagram for details.
Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.
SinC = opposite/hypotenuse
Sin 15 = 4/b
By cross multiplication we now have
b = 4/Sin15
b = 4/0.2588
b = 15.4599
Approximately b = 15.5
Therefore the length of the ramp would be 15.5 feet
Answer:
Median
Explanation:
The median is the middle number. This answer fits best with the question asked.
The mode is the number that occurs the most. This number doesn't really have a correlation to the middle of this data.
The range is just how many numbers the data spans across. It has no relation to the middle of the data.
The answer to this question is the school is going to have to rent 2 vans extra. The reason is because each van hols 8 people right. for the 6 vans that the school already owns, that will be 48 students in vans. When you subract that from 59, you get 11 students that still need a van, so 11 students can not fit in one extra van so the school would need two. Hope this gives you what you were looking for. God bless, and hope this helped. Also, please let me know if it was correct.
Answer:
x = 0.667 and y = -0.6
Step-by-step explanation:
Given that,
6x + 5y = 1 ....(1)
6x - 5y = 7 ...(2)
We need to solve the above equations.
Subtract equations (1) and (2)
6x + 5y -(6x - 5y) = 1-7
6x+5y-6x+5y = -6
10y=-6
y = -0.6
Put the value of y in equation (1).
6x + 5(-0.6) = 1
6x = 1-5(-0.6)
6x = 4
x = 0.667
Hence, first step is to subtract equation (1) and (2) then put the value of y in equation (1).
