54 as opposite angles are the same and they need to have the same angle to be parallel
This is not a geometric sequence as the next number is found by adding 1.
The area of the circle is
... A = (π/4)d² . . . . where d=10 in
The area of the square is
... A = d² . . . . . . . . where d=10 in
The amount of the square that is not in the circle is
... (1 -π/4)d² = 0.2146018d² ≈ 21.5 in² . . . for d=10 in
4 liters of punch can serve 16.
5 liters of punch will be needed for 20 servings.
7 liters of punch will serve 28.
Step-by-step explanation:
Given,
Ratios of liters of punch to servings = 2:8
Let,
x be the servings for 4 liters.
New ratio of liters of punch to servings = 4:x
Using proportion;
Ratio :: New ratio

Product of mean = Product of extreme

Dividing both sides by 2

4 liters of punch can serve 16.
Let,
y be the liters of punch for 20 servings.
New ratio = y:20
Using proportion;

Product of mean = Product of extreme

Dividing both sides by 8

y=5
5 liters of punch will be needed for 20 servings.
Let,
z be the number of servings for 7 liters of punch.
New ratio = 7:z
Using proportion

Product of mean = Product of extreme

Dividing both sides by 2

7 liters of punch will serve 28.
Keywords: ratio, proportion
Learn more about ratios at:
#LearnwithBrainly
Plug in -1 for x and work it ou'
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
= -1 + 6 - 12 + 8
= 1