Answer: 16.8
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Explanation:
The lower case letters represent the side lengths.
The uppercase letters represent the angles.
Side 'a' is opposite angle A
Side 'b' is opposite angle B
Side 'c' is opposite angle C
Angle A is 62 degrees because you would solve A+B+C = 180 for A. Or you can compute 180-B-C = 180-82-36 to get the same result for angle A.
Once you know the measure of angle A, you can use the law of sines
sin(A)/a = sin(B)/b
sin(62)/15 = sin(82)/b
b*sin(62) = 15*sin(82)
b = 15*sin(82)/sin(62)
b = 16.8232193521557 <<--- see note below
b = 16.8
note: use a calculator for that step. Make sure the calculator is in degree mode
Answer:
y =52
Step-by-step explanation:
We know that the angles 4x and 5x make a straight line
4x+5x = 180
9x = 180
Divide by 9
9x/9 = 180/9
x = 20
The three angles of a triangle make 180
y + 48 +4x = 180
y + 48+4(20) =180
y + 48 +80 = 180
Combine like terms
y +128 = 180
Subtract 128 from each side
y + 128-128 = 180-128
y =52
Answer:
x=4, y=2
Step-by-step explanation:
2x - y = 6
x + y = 6
Add these together to eliminate y
2x - y = 6
x + y = 6
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3x = 12
Divide by 3
3x/3 = 12/3
x=4
But we still need y
x+y =6
4+y =6
Subtract 4 from each side
4+y-4 = 6-4
y=2
Answer:
The probability of selecting the color of ball that you just selected(a red ball) is
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
=>
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as