Answer:
We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.
Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.
So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.
For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.
Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.
This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.
Answer:
the 2nd one. I got it correct
Step-by-step explanation:
Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
Answer:
$1,161.18 (assuming if interest rate is 3%)
Step-by-step explanation:
Kindly check the attached picture for explanation
Given:
The figure of a right triangle. 
and perpendicular = 12.
To find:
The measure of angle y.
Solution:
In a right angle triangle,
In the given right angle triangle,
Therefore, the measure of angle y is 
.
