Answer: 22) A
<u>Step-by-step explanation:</u>
First, order doesn't matter so it is a Combination.
<em>In other words, it doesn't matter which person was chosen 1st, 2nd, 3rd, or 4th to bring food because they are all bringing "food".</em>
Next, If you are going to choose person to 4 people to bring food out of a total of 4 + 3 + 1 = 8 people, you get → ₈C₄
And you are going to choose 3 people to bring decorations out the remaining 8 - 4 = 4 people, you get → ₄C₃
And you are going to choose 1 person to be the host out of the remaining 4 - 3 = 1 person, you get → ₁C₁
"And" means multiplication so altogether you get ⇒ ₈C₄ × ₄C₃ × ₁C₁
Answer:
x = 36
Step-by-step explanation:
The angles 3x - y and 2x + y form a straight angle and are supplementary, so
3x - y + 2x + y = 180
5x = 180 ( divide both sides by 5 )
x = 36
-----------------------------------------------
5y and 3x - y are vertical angles and congruent, hence
5y = 3x - y ( add y to both sides )
6y = 3x ← substitute x = 36
6y = 3 × 36 = 108 ( divide both sides by 6 )
y = 18
It depends and the measurement of the angle.
30-60-90(shown in image)
or
45-45-90
Also, sometimes you can use Pythagorean theorem
Answer: 
Step-by-step explanation:
We have the following function:

And we have to evaluate it when
, this means we have to substitute
by
:

Solving:

Finally:

Answer:
its a after about 17.5 billion years of watching shrek it is a
Step-by-step explanation: