Answer: 
Step-by-step explanation:
Given
inclination is 
Mountain is 
high
Cable is tied 
from the base of the mountain
From the figure, length of the shortest path is 
It is given by using Pythagoras theorem
Answer:
10000 = 1 x 104
Step-by-step explanation:
Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
- a₁= -2
- a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
- a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
- a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
- ...
- aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²
As per above, the nth term is: aₙ= -2n²
<h2><u /></h2><h2><u>Solution 2</u></h2>
The sequence:
- -2, -8, -18, -32, -50
- -2*1, -2*4, - 2*9, -2*25
- -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
- aₙ= -2n²
Let's imagine that we turn the machine on 100 times. (this will make the percent conversion easier)
the chance that works in the morning is 50% of 100 so it will work 50 times.
the chance that it will then continue for the rest of the day is 15% so 15%*50 (the number of times it worked), which is 7.5 times.
our times actually represented percent, so the answer is : 7.5%!
A) x-6; you have x amount of money and pay 6 dollars for a hat.
b) 2(x2);
