-3pa - 9b - 18pc
For starters, you know that you can't take away any of the letters from the equation because none of the three have the exact same letter; however, they all have something they can be divided by and that is -3.
It would be -3 instead of just 3 because the equation itself starts with a negative. (you could probably do it anyways with just 3, but you'd end up taking out a negative one, anyways, so what's the point?)
Now, you would have: -3 ( pa + 3b + 6pc )
That is truly all you can take out. So, that would end up being your answer since all you can really do is simplify.
Answer:
B) BC'= 8, m A'= 28°
Step-by-step explanation:
When dilating a figure, it increases its size or decreases. In this case, as it is dilating by a factor of 1/2, you can assume it decreases.
To find the value of the new figure, A'B'C', you have to multiply the factor times the lengths of the triangle, or, the only one they are asking for in this case, the length BC':
- BC' = BC×1/2
- BC' = 16×1/2
- BC' = 8
The angles, otherwise, do not change. When figures are dilated, they are similar. The properties of similar figures are that they have congruent angles, therefore, the same angles. They do not have any effect caused by the factor, so m A' stays at 28°.
M = 1,000
D = 500
C = 100
L = 50
X = 10
V = 5
I = 1
MDCCXLIV
M = 1,000
DCC = 500 + 100 + 100 = 700 (smaller after larger, then adding)
XL = 50 - 10 = 40 (smaller before bigger, then subtraction)
IV = 5 - 1 = 4 (smaller before bigger, then subtraction)
<h3>MDCCXLIV = 1,000 + 700 + 40 + 4 = 1,744</h3>
The expected value is just the weighted average of how much one ticket wins. To calculate it, we need to find the probabilities of winning each dollar amount, multiply each probability with it's respective dollar amount, then find the sum.
Let's call the winnings from one ticket X:
P(X=30) = 4000/2000000 = 0.002
P(X=800) = 500/2000000 = 0.00025
P(X=1200000) = 1/2000000 = 0.0000005
E(X) = 30*P(X=30) + 800*P(X=800) + 1200000*P(X=1200000) = 0.06 + 0.2 + 0.6 = 0.86
The answer is $0.86
The two factors are 2 and p=10 so I used your equations and
