Answer:
x = 8
y = 8
Step-by-step explanation:
This is a special right triangle with angle measures 45-45-90
The side lengths for this triangle are as follows
a (the side lengths that see angle measure 45)
a (the side length that sees angle measure 90)
one of the side length which sees angle measure 45 is given as 8
so a = 8 as well as x = 8
therefore y = 8
Answer:
Step-by-step explanation:
Use the trigonometric identity
Then,
Answer:
a) 120
b) 10
c) 1/12
Step-by-step explanation:
The number of ways that a sample of r can be selected from a population of n is:
nCr = n! / (r! (n−r)!)
a) 3 people selected from a group of 10
₁₀C₃ = 120
b) 3 women selected from a group of 5
₅C₃ = 10
c) Of the 120 committees that can be chose, 10 are all women. So the probability is 10/120 = 1/12.
The maximum value of the objective function is 31.787
<h3>How to maximize the function?</h3>
The given parameters are:
Objective function:
Max P = 4x + 5y + 21
Subject to:
y- x < 1
21x + 7y < 25
x>-2, y>-4
Rewrite the inequalities as equation
y - x = 1
21x + 7y = 25
Add x to both sides in y - x = 1
y = x + 1
Substitute y = x + 1 in 21x + 7y = 25
21x + 7x + 7 = 25
Evaluate the like terms
28x = 18
Divide both sides by 28
x = 0.643
Substitute x = 0.643 in y = x + 1
y = 0.643 + 1
y = 1.643
So, we have:
Max P = 4x + 5y + 21
This gives
P = 4 * 0.643 + 5* 1.643 + 21
Evaluate
P = 31.787
Hence, the maximum value of the objective function is 31.787
Read more about maximum functions at:
brainly.com/question/14381991
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Answer:
x=-6.5
Step-by-step explanation:
