Answer:

Step-by-step explanation:
Given
The attached triangle
Required
Find cos V
In trigonometry:

In this case:

Where

and
-- Pythagoras


Take square roots




So:



Rationalize:


Answer:14
Step-by-step explanation:
x+y=56
x:y=5:3
Sum of ratio=5+3
Sum of ratio=8
x=5/8x56
x=(5x56) ➗ 8
x=280 ➗ 8
x=35
y=3/8x56
y=(3x56) ➗ 8
y=168 ➗ 8
y=21
x-y
35-21=14
x-y=14
Answer:3,312.50
Step-by-step explanation:1. We assume, that the number 2500 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 2500 is 100%, so we can write it down as 2500=100%.
4. We know, that x is 3.25% of the output value, so we can write it down as x=3.25%.
5. Now we have two simple equations:
1) 2500=100%
2) x=3.25%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
2500/x=100%/3.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
-10 = -10 + 7m
Add 10 to each side: 0 = 7m
Divide each side by 7 : 0 = m
Please take a second and just LOOK at the equation you started with.
It says:
-- You have this number '-10' .
-- Your number -10 is going to be exactly the same size
after you add 7 of something to it.
The ONLY way that could happen is if the 'something' is 'nothing' .
' m ' must be nothing.