Answer:
Step-by-step explanation:
If we open the surface of the pole and lay it flat, we will get a rectangle with the red stripe as a diagonal.
l = 260 cm.
The width of the rectangle is enough for two revolutions (i.e., twice the circumference).
w = 2C = 2 × 2πr = 4π × 14/2 = 28π cm = 87.96 cm
Length of stripe
The stripe is the diagonal of the rectangle.
d² = 260² + (28π)² = 67 600 + 87.96² = 67 600 + 7738 = 75 338
d = √(75 338) = 274.5 cm
Angle with horizontal
tanθ = 260/(28π) = 260/87.96 =2.956
θ = arctan2.956
θ = 71.3°
The stripe is 
long and the angle with the horizontal is 
.
Answer:
slope intercept form is y=-2/3x+5
Answer:
(x-2)(x^2 +2x +4)/x
Step-by-step explanation:
X minus two into X squared plus 2X plus 4 whole by X(this should be the right answer)
Answer:
(121.576 ; 273.424)
Step-by-step explanation:
Given the data:
175, 125, 180, 220, 240, 245
We can calculate the mean and standard deviation
Mean = Σx/ n = 1185 / 6 = 197.5
Standard deviation = 46.125 (calculator)
The confidence interval :
Mean ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 99%, df = n - 1 ; 6 - 1 = 5
Tcritical = 4.032
Margin of Error = 4.032 * 46.125/√6
Margin of error = 75.924
Confidence interval :
197.5 ± 75.924
Lower boundary = 197.5 - 75.924 = 121.576
Upper boundary = 197.5 + 75.924 = 273.424
(121.576 ; 273.424)
Answer:
-7 and -5
Step-by-step explanation:
It is where the parabola intercepts the x axis which is -7 and -5
