Answer:
180 ft
Step-by-step explanation:
We are working to find the perimeter here. Let x represent the length of the room.
We know that the formula to find the perimeter of something is 2L + 2W = P. Here, we know the required perimeter and the width of the room.
Our equation is now: 2x + 2(70) = 500
Now we have to find x, we'll start by multiplying 70 by 2.
2x + 140 = 500
Now we can solve for x:
Subtract 140 from both sides
2x = 360
x = 180
The length of this room is 180 ft.
2(180) + 140 = 500
360 + 140 = 500
Answer:




Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.



Collect like terms


Take positive square root

Solving (a): Sin L



Simplify

Solving (b): tan N



Simplify

Solving (c): cos L
This calculated as:



Simplify

Solving (d): sin N
This is calculated using:
If 
Then: 
So:


1. Odd
2. Neither
3. Even
4. Odd
5. Neither
6. Even
1. -10/9
2. 2/5
3. -2/5
4. 3/5
5. 1/10
6. -10/3