Answer:
14
Explanation:
The given triangle is a right-angled triangle. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, we have:
θ = 40°
opposite = 12 m
adjacent is the distance we want to find
Substitute with the givens in the tan formula to get the distance as follows:
tan (40) = 12 / distance
distance = 12 / tan (40)
distance = 14.3 which is approximately 14 m
Hope this helps :)
Answer:
35.33
Step-by-step explanation:
The circle with radius 5 has a sector with a central angle of 9/10 pi.
The area of a sector is given as:
where α = central angle of the sector in radians
r = radius of the circle
The area of the sector is therefore:
The area of the sector is 35.33.
Answer:
What graph?
Step-by-step explanation:
What graph?
Answer:
The test statistic is 
and the observed value 1.68
Step-by-step explanation:
We have a large sample size n = 100, the point estimate for the true proportion of overfilled bags p is given by 
. The test statistic is given by which is distributed as a standard normal variable approximately because we have a large sample. The observed value for the test statistic in this case is 
Answer:
180 minutes
Step-by-step explanation:
because you times 5 by 36
