Will mark brainlest for right answer only

the angle of elevation from the bottom of the ski lift too the top of the mountain is 62. if the vertical height mountain is 1760 feet what is the total distance traveled on the ski lift from the bottom to the top of the mountain?

a) 1952.8 ft
b) 1993.3 ft
c) 2020.5 ft
d) 2084.1 ft
e) 2102.7 ft

Atypical mre contains 1,200 calories.if the average solider eats 3 mre per day and is deployed for 15 months how many calories will be consumed by a 44 member platoon of soldiers

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)