Answer:
Step-by-step explanation:
we are given a quadratic equation
Let's assume formula of vertex form of parabola as
where vertex is (h,k)
we are given
vertex =(11,-2)
so, h=11, k=-2
now, we can plug it
now, we are given zeros at x=10 and x=12
we know that zeros will be x=10 , y is 0
so, we can plug x=10 and y=0 and solve for 'a'
now, we can plug it back
and we get
so, we get quadratic equation as
In step 1 the difference of 1.5x(-3.2) & 1.5x(2.5) should be written as a sum. Hope that’s right :).
Answer: The result of the division is the number pi.
And the approximation of pi is: pi = 3.14
Step-by-step explanation:
The distance around a circle is called the perimeter of the circle.
The distance across a circle (This is a line that starts on one point of the circle, go through the center of the circle, and end in the next time it intersects the circle) is called the diameter of the circle.
The quotient between these two quantities is maybe one of the most famous numbers in the world, is the number pi, written as:
π = 3.14159265358979...
Is an irrational number, which means that the decimals keep going infinitely.
Then we can conclude that:
"The result of dividing the perimeter by the diameter, is equal to the number pi = π = 3.14159265358979..."
Because this is an irrational number and is actually impossible to write it, we usually use pi = 3.14 to aproximate it.
Answer:
Arc AB= 180 degrees
Arc BC= 15 degrees
Arc CA= 165 degrees
Step-by-step explanation:
In order to find the measure of each arc, start by recognizing that a circle equals 360 degrees, and the measure angle of the diameter of this circle is equal to half of 360 degrees, which is 180 degrees.
Since segment AB is the diameter of the circle, it will equal 180 degrees. Thus, causing arc AB equal to 180 degrees.
Next, arc BC equals 15 degrees because the measure of angle BOC is equal to the measure of arc BC.
Then, to find the measure of arc CA, use the diameter of the circle, which is segment AB. Segment AB is equal to 180 degrees, which makes arc AB equal to 180 degrees. Also known is the measure of arc BC, which is 15 degrees. To find the measure of arc CA, subtract the measure of arc BC from the measure of arc AB, and the answer will be 165 degrees.
This looks like 180 degrees - 15 degrees = 165 degrees.
To check if the arc measures are correct, add all the arc measures together. If they sum up to 360 degrees, then the measure of each arc is correct.
To find the solution, simply take 3 and divide it by 12. 3/12 as a fraction would be simplified down to 1/4 or 0.25. Therefore, each student would receive one quarter of a pizza.
