Answer:
32
Step-by-step explanation:
Absolute value means takes the positive value
|-32| = 32
Answer:
The area of the new circle is 
Step-by-step explanation:
Given:
radius of the circle = 3 in.
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared.
Let
z-----> the scale factor
x-----> the area of the enlarged circle
y-----> the area of the original circle
So;

In this problem we have
----> the scale factor
The area of the original circle is equal to

Now substituting value of y and solve for x we get;

Hence Area of the new Circle is 
Also The area of the enlarged circle is 16 times the area of the original circle.
Answer: x=7
first, collect like terms:
5x-13=22
next move the constant to the right-hand side and change its sign:
5x=22+13
then add:
5x=35
lastly divide both sides of the equation by 5:
and you get.... x=7
hope this helps!! :))
To find the answer, we will have to find the percentage of $273 to $ 3500, and we can use the formula:

In this case:
273/3500 x 100%
=39/500 x 100%
=7.8%
Therefore the annual interest rate would be 7.8%.
Hope it helps!
Find parallelogram ABCD attached
Answer:
x = 3
Step-by-step explanation:
In parallelograms, the diagonals typically divide each other into 2 equal parts.
This means that from the attached parallelogram, we can say that;
4x - 6 = 2x or 6x - 15 = x
Thus;
4x - 2x = 6
2x = 6
x = 6/2
x = 3
Let's confirm with the second equation;
6x - x = 15
5x = 15
x = 15/5
x = 3