Answer:
The surface area of the triangular prism is = 94.641016151378 cm^2
Answer: The length of the second arc is 12 feet.
Step-by-step explanation:
Since we know that
A rope is swinging in such a way that the length of the arc is decreasing geometrically,
Length of first arc = 18 feet
Length of third arc = 8 feet
Let the length of second arc be x
As we know that

Hence, the length of the second arc is 12 feet.
Each van carries 13 students and each bus carries 25 students.
<h3><u>Distribution</u></h3>
Given that the senior class at High School A and the senior class at High School B both planned trips to Yellowstone, and the senior class at High School A rented and filled 5 vans and 2 buses with 115 students, while High School B rented and filled 1 van and 6 buses with 163 students, and each van carried the same number of students and each bus carried the same number of students, to determine the number of students in each van and in each bus, the following calculation must be made:
- 5X + 2Y = 115
- 1X + 6Y = 163
- 5X + 2Y = 115
- 5X + 30Y = 815
- 815 - 115 = 28Y
- 700 = 28Y
- Y = 700 / 28
- y = 25
- 1X + 6x25 = 163
- 1X = 163 - 150
- X = 13
Therefore, each van carries 13 students and each bus carries 25 students.
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Answer:
x = 7.416666667
Set everything equal to 180 (the total # of degrees in a triangle)
180 = 14x-13 + 4x+13 + 6x+2
Combine the variables
180 = 24x - 13 + 13 + 2
Do the math
180 = 24x +2
178 = 24x
x = 7.416666667
Answer:
center:-2,3
Radius:10
Step-by-step explanation:Happy to help :)