Answer:
y = 126.43
Step-by-step explanation:
Essentially what you have is the Cosine(50)
Cos(50) = adjacent / hypotenuse
adjacent = 122
hypotenuse = ?? = y
Solve
Cos(50) = 122/y Multiply both sides by y
y*cos(50) = 122 Divide by cos(50)
y = 122 / cos(50) Find the value of cos(50)
y = 122 / 0.96497 Divide
y = 126.43
Answer:
Step-by-step explanation:
If the second angle's measure is based on the first angle's measure, and the third angle's measure is also based on the first angle's measure, then the first angle is the main angle. We will call that x.
1st angle: x
2nd angle: x + 20%
3rd angle: x - 20%
By the Triangle Angle-Sum Theorem, all those angles will add up to 180, so:
x + (x + 20%) + (x - 20%) = 180 and
3x = 180 so
x = 60. That means that
2nd angle: 60 + (.2*60) which is
60 + 12 = 72 and
3rd angle: 60 - (.2*60) which is
60 - 12 = 48. Let's check those angles. If
∠1 = 60
∠2 = 72
∠3 = 48,
then ∠1 + ∠2 + ∠3 = 180 and
60 + 72 + 48 does in fact equal 180, so you're done!
The experiment probabilities are listed below:
One: 2 out of 20 = 2 / 20 = 0.1 or 10%
Four: 5 out of 20 = 5 / 20 = 1 / 4 = 0.25 = 25%
The theoretical probability of any single number is 1 out of 6 or about 17%.
The experimental probability for ones was less than and for fours it was greater than the theoretical probability.
Step-by-step explanation:
x² + 20 = 2x
x² − 2x + 20 = 0
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-2) ± √((-2)² − 4(1)(20)) ] / 2(1)
x = [ 2 ± √(4 − 80) ] / 2
x = [ 2 ± √(-76) ] / 2
x = [ 2 ± 2i√19 ] / 2
x = 1 ± i√19
Answer:
74
Step-by-step explanation:
a-50 = 24
a-50+50 = 24+50
a = 74
