Answer:
option D
Step-by-step explanation:

equation 2:

so we have:

Answer:
1232
Step-by-step explanation:
1232 6th grades went on the trip because 160p multiplied by .77, the amount of chaired covered by 6th graders, is equal to 1232.
Answer:

Explanation: For a general binomial expansion,

, we know that the powers have to add up to the initial power. This means that the power of x and power of y have to add up to n. This is the binomial theorem.
To further demonstrate this, let's use:

We can easily expand this. Using Pascal's Triangle, we get:

As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.
It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).
Thus, we get:
Answer:
13.41 cm
Step-by-step explanation:
The radius, height, and HALF of vertical angle makes a triangle.
Where
Radius will be the base of the triangle
Height will be the "height" of the triangle
Top angle will be HALF of vertical angle (40/2 = 20)
From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.
<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>
Tan(20) = opposite/adjacent
Tan(20) = 30/h
h = 30/Tan(20)
h = 13.41
So
The height of the cone would be around 13.41 cm
Answer:
1/3
Explanation:
P(Freshman | Boy)
⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes
- P(Freshman | Boy) = freshman/total boys