Answer:
900 teams
Step-by-step explanation:
The order in which the people are selected is not important(John and Josh is the same team as Josh and John), which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Two men(from a set of 6).
Two women(from a set of 5).
Two children(from a set of 4).
How many different teams can be organized consisting of two men, two women, and two children?
900 teams
Answer:13 x 10 (130)Step-by-step explanation:1 1/4 cups of milk make 10 servings. 16 cups make 1 gallon. 1 1/4 + 1 1/4= 2 2/4 + 1 1/4+ 3 3/4 + 1 1/4= 5 + 1 1/4 = 6 1/4 + 1 1/4= 7 2/4 + 1 1/4 + 8 3/4 + 1 1/4 + 10 + 1/4 = 11 1/4 + 1/4 = 12 2/4 + 1 1/4 = 13 3/4 + 1 1/4 = 15 = 1 1/4 = 16 1/4
<h3>
Answers:</h3><h3>x = sqrt(10)</h3><h3>y = sqrt(5)</h3>
============================================
Explanation:
Naturally I start with x as that letter precedes y in the alphabet; however, it's easier to start with y because it is a leg of this triangle. We will then use the value of y to find x later.
For any 45-45-90 triangle, the two legs are the same length. So that's why we're able to quickly see that y = sqrt(5)
To get the hypotenuse, we multiply the leg length by sqrt(2). This trick only works for 45-45-90 triangles.
hypotenuse = leg*sqrt(2)
x = sqrt(5)*sqrt(2)
x = sqrt(5*2)
x = sqrt(10)
The rule I used is sqrt(a)*sqrt(b) = sqrt(a*b)
----------------
An alternate path is to use the pythagorean theorem to find x
a^2+b^2 = c^2
(sqrt(5))^2 + (sqrt(5))^2 = x^2
5 + 5 = x^2
10 = x^2
x^2 = 10
x = sqrt(10)
