Answer:
The ratio of juices to ginger ale is 2 to 2
The ratio of orange juice to the cranberry juice is 1 to 1
Step-by-step explanation:
Ginger ale = 2 liters
Orange juice = 1 liter
Cranberry juice = 1 liter
Total ratio = 2 + 1 + 1 = 4
The ratio of ginger ale to the entire punch bowl is 1 to 4.
Ginger ale : entire punch bowl
= 2 : 4
= 1 : 2
Not true
The ratio of orange juice to ginger ale is 2 to 1.
Orange juice : ginger ale = 1 : 2
Not true
The ratio of juices to ginger ale is 2 to 2.
juices : ginger ale = orange juice + cranberry juice : ginger ale
= 1 + 1 : 2
= 2 : 2
True
The ratio of the entire punch bowl to the juices is 2 to 4.
Entire punch bowl : juices 4 : 2
Not true
The ratio of orange juice to the cranberry juice is 1 to 1.
Orange juice : cranberry juice = 1 : 1
True
Answer: surface area = area of BASE + 1/2 × perimeter of base × slant HEIGHT.
I believe you meant: Use completing the square to determine the center and radius of the circle represented by this equation: <span>X^2+y^2-10x+6y=15
x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
(x-5)^2 + (y+3)^2 = 24 = 2sqrt(6)
This circle is centered at (5,-3) and has radius 2sqrt(6).</span>
To calculate the square root, you can either use the √symbol on a calculator or you can manually find it using Prime Factorization. For non-perfect squares, Prime Factorization is the way to go.
The first two steps work for solving large perfect squares as well.
1. Divide your number into perfect square factors.
2. Take the square roots of your perfect square factors.
3. If your number doesn't factor perfectly, reduce your answer to simplest terms.
4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie.

you know that

and

, so you can estimate that the

would be between 7 and 8 but closer to 8.
5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. </span>

=

=

=

Hope this helped!!!