Answer:
We know that points A, B, C, and D are on a line.
Point A is between B and C
Point D is to the left of C.
Now we want to find the order of these points using the given information.
Then the order could be:
First, we write D at the left of C
Then we remember that A is between B and C
D C A B
Now, D could be to the left of C, but not directly at the left of C, so we can also have the order:
D B A C
Where D is at the left of C but not directly at the left.
Answer:
The diameter that will reward with the largest pizza is 14 in
Step-by-step explanation:
The perimeter of a sector of a circle is:
P = 2r + l
l = rθ
P = 2r + rθ
P=28 inches
28=2r + rθ
28-2r=rθ
θ=(28-2r/r)
=(2*14 - 2*r)/r
=2(14-r)/r
Area of the sector of the circle is:
A = r²/2 * θ
A = r²/2 * 2(14 - r)/r
A = r² * (14 - r)/r
A = r(14 - r)
A = 14r - r²
For the maximum area:
A = 14r - r²
A' = 14 - 2r
Set A' = 0
14 - 2r = 0
14= 2r
r = 7 in
The diameter (D) of the circle is twice of the radius:
D = 2r = 2 * 7= 14 in
The maximum area is:
A = 14r - r²
r = 7 in
A = 14 * 7 - 7²
A = 98 - 49
A = 49 in²
C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.
Problem
One number is eight less than five times another. If the sum of the two numbers is 28, find
the two numbers.(separate your answers using commas)
Solution
for this case we can define the following notation:
Let x and y the two numbers and we have:
x= 5y -8
and we also know that:
x+ y = 28
Replacing we got:
5y -8 +y = 28
6y = 28+8
6y= 36
And y = 6
And for x we got:
x= 5*6 -8= 30 -8 = 22
Answer:
Step-by-step explanation: