Answer:
tan Z = 3/4
Step-by-step explanation:

x - shortest side
2x - second side
x + 26 - third side
174 ft - perimeter
x + 2x + (x + 26) = 174
4x + 26 = 174 |-26
4x = 148 |:4
x = 37 ft
2x = 2(37) = 74 ft
x + 26 = 37 + 26 = 63 ft
Answer: 37 ft, 74 ft and 63 ft.
Answer:
a)
b) 


And we have the following table:
X | 0 | 1 | 2
P(X) | 0.25 | 0.5 | 0.25
Step-by-step explanation:
Let's define first some notation
H= represent a head for the coin tossed
T= represent tails for the coin tossed
We are going to toss a coin 2 times so then the size of the sample size is 
a. What is the sample space for this chance experiment?
The sampling space on this case is given by:
b. For this chance experiment, give the probability distribution for the random variable of the total number of heads observed.
The possible values for the number of heads are X=0,1,2. If we assume a fair coin then the probability of obtain heads is the same probability of obtain tails and we can find the distribution like this:



And we have the following table:
X | 0 | 1 | 2
P(X) | 0.25 | 0.5 | 0.25
Answer:
That is true!

Let me know if you need more help with multiplication. I may be able to help.
Have a great day.
Answer:
The answer to your question is: -9y³ - 3y² + 5y - 9
Step-by-step explanation:
( y² - 3y³ - 2 + 5y ) - (7 + 8y² - 4y² + 6y³)
y² - 3y³ - 2 + 5y - 7 - 8y² + 4y² - 6y³
Like terms -3y³ - 6y³ + y² - 8y² + 4y² + 5y - 2 - 7
-9y³ - 3y² + 5y - 9