Answer:
7. 9.4%
8. 9.4ft
Explanation:
Question 7:
The percent grade is another term for slope
The slope formula is rise over run
The rise in question 7 is 1500 meters
The run in question 7 is 16km, or 16000 meters
1500/16000 is 0.09375. 0.09375 in percent is 9.375%
round to the nearest tenth, and it is 9.4%
Question 8:
To solve this question you must know what the pythagorean theorem is.
The pythagorean theorem: in a right triangle the square of the hypotenuse is equal to the sum of the squares of the two legs.
Famously known as a^2+b^2 =c^2
The "length" of the rail would be the hypotenuse
(the rise and the run are the legs of the "triangle")
the rise in question 8 is 5 feet
the run in question 8 is 8 feet
5^2 + 8^2 = c^2
25+64=c^2
89=c^2
√89 = √c^2
c = 9.43398113...
round to the nearest tenth to get 9.4 ft