Answer:
5.28°
Step-by-step explanation:
Draw the triangle formed by the sledding run. The hypotenuse is 300. The height is 27.6. The angle of depression is opposite of the height.
Using sine:
sin θ = 27.6 / 300
sin θ = 0.092
θ = 5.28°
pi radians in a semicircle (half circle)
2pi radians in a full circle.
2pi = 2*3.14 = 6.28 approximately, so there are approximately 6.28 radians in a half circle.
2pi radians is equivalent to 360 degrees.
you don't list the choices but you would divide the total dollar amount by 5 to find out the number of bills there are so it should be something like :
total bills = x/5
The table showing the conversion of angle measure in degrees to angles in gradients is attached below.
In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).
For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:
So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11
Answer:
D. There is not enough evidence at the 5% significance level to indicate that one route gets Katy to work faster, on average, since 0 falls within the bounds of the confidence interval.
Step-by-step explanation:
At 5% confidence level, Katy found difference in mean commuting times (Route 1-Route 2) in minutes as (-1,9).
Since no difference in means (0 min) falls within the confidence level (-1,9), we can not reject the hypothesis that there is no difference in mean commuting times when using Route1 or Route2.
A <em>higher</em> significance level(10% etc) may lead a <em>shorter</em> confidence interval leaving 0 outside and may reach a conclusion that Route1 takes longer than Route2