The area of a circle is pi*r^2.
The angles in a circle add up to 360 degrees.
Let's say I have a circle with radius 2.
The total area of the circle is pi* (2^2) = 4pi
Let's say I cut out 15 degrees of this circle. This piece is 15 out of 360 of the whole circle.
The area of this part is (15/360) * 4pi
The rest of the area is (360-15)/360 * 4pi.
I hope this helps.
Answer:
First option
Step-by-step explanation:
Hi there!
The "constant additive rate of change" means a constant slope.
The slope is
.
First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in <em>y</em> is forever the same according to the change in <em>x</em>. Knowing this, the second option is for-sure wrong (it's not a straight line).
Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is
. This means that for a line, whenever it travels 4 units to the right, it travels 1 unit <em>down </em>(it travels down whenever the slope is negative and up whenever the slope is positive).
This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).
Therefore, the correct answer would be the first option.
I hope this helps!
Answer:

Step-by-step explanation:
Hello there!
The first thing we want to do is find the measure of the large leg
To do so we use the Pythagorean theorem which says 
where a and b are legs and c is the hypotenuse
we want to find b given the hypotenuse and short leg
so 
all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)
so

so the longer leg is equal to 35
35=5x
divide each side by 5
5x/5=x
35/5=7
we're left with x=7
Ben has 5 times Cindy's money, so he has d*5=5d dollars.
Anna has $32 more than Ben, so she has 5d+32 dollars.
Hope this helps!
Answer: x = 6
Step-by-step explanation:
3x - 6.59 = 11.41
Add 6.59 to both sides
3x = 18
Divide both sides by 3
x = 6
Hope that helped!