we know that


<u>Part 1) </u>
we know that
side 1=15'-7"
side 2=20'-4"
side 3=26'-2"
To find the total length of three sides sum the three sides
so
total length=side 1+side 2 +side 3
substitute
total length=15'-7"+20'-4"+26'-2"
total length=(15'+20'+26')+(7"+4"+2")
total length=(61')+(13")
remember that
12"=1'
13"=12"+1"=1'+1"
substitute
total length=(61')+(1'+1")
total length=(62')+(1")---------> 62'-1"
therefore
<u>the answer is</u>
the total length of three sides is 62'-1"
Step-by-step explanation:

We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)

Also we use identity
sin(2x) = 2 sin(x) cos(x)

4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer



We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
A standard deck of cards has 52 cards. Half of the deck has red cards and half has black cards. So the first probability would be 26/52, or 1/2 (simplified, it's half the deck).
Then you put the card back and choose a 3. There are 4 cards with the number 3 in the deck. So it's 4/52.
Then you multiply both the probabilities
26/52 x 4/52 =

= 1/26
Answer: Hello the options related to your question is missing attached below are the missing options.
A.) The probabilities of the RVs may be equal
B.) The sum of the probabilities of the RVs exceed 1
C.) This is an impossible occurrence
D.) The probabilities of the RVs must be equal
E.) None of the above
answer:
The probabilities of the RVs may be equal ( A )
Step-by-step explanation:
Given that the value of the population mean and the value of probability mass function of a set of random variables are similar
For the Random Variables : 100,200,300,400
The Probability mass function of RV = ( 100 + 200 + 300 + 400 ) / 4
Hence The probabilities of the RVs may be equal
Answer:
y=10
Step-by-step explanation: