Answer:
D. It has a single solution: x=-3, y= 26.
Step-by-step explanation:
3x + y=17
Subtract 3x so it is in y=mx+b form. So now it is y= -3x +17
Now plug in
x + 2 (-3x+17) = 49
x + -6x + 34 = 49 (distribute)
-5x = 15 (combine the x terms and subtract 34 on both sides)
x = -3 (divide -5 on both sides to get x alone)
now plug in x into any other equation to get y
x + 2y = 49
-3 + 2y = 49
2y = 52 (add 3 on both sides)
y = 17 (divide 2 on both sides to get y alone)
(-3, 26)
Answer: - 0.50
Step-by-step explanation:
Given the following :
Mean score = 67
Standard deviation = 2
To obtain the Zscore, use the relation:
Zscore = (X - mean) / standard deviation
Williams score = 66 = X
Hence,
Zscore = (66 - 67) / 2
Zscore = - 1 / 2
Zscore = - 0.50
Answer:
39°
Step-by-step explanation:
==>Given:
Shadow length = 20ft
Flag height = 16ft
==>Required:
Angle of elevation of sun (θ)
==>Solution:
To calculate the angle of elevation of the sun, recall the trigonometry formula SOHCAHTOA.
We are given adjacent side = 20ft, and opposite side = 16ft
Therefore, we would use TOA, which is:
tan θ = Opposite/Adjacent
tan θ = 16/20
tan θ = 0.8
θ = 38.6598083 ≈ 39°
Angle of elevation of the sun = 39°
Answer:
The value of n is 6.
Step-by-step explanation:
Given that these 2 triangles form a square so we can assume that all sides are same. Then, we have to apply Pythagoras Theorem, a² + b² = c², where a, b are sides and c is hypotenuse :
n² + n² = (6√2)²
2n² = 6² × (√2)²
2n² = 72
n² = 72 ÷ 2
n² = 36
n = √36
n = 6
The answer would be 5,280 because 1,760×3=5,280
