ANSWER
The slant height is 40cm.
EXPLANATION
The lateral area of a cone is given by:

where r=10cm is the radius of the circle and l is the slant height.
It was also given that, the lateral area is 400π cm²
We substitute the values to get,

We now divide both sides by 10π.
This implies that,


Hence the slant height is 40cm.
Answer:
Step-by-step explanation:
find the difference between the two angles first:
155-65=90 degrees
d is the distance d:
d^2=a^2+b^2-2ab cos(90)
d^2=10^2+8^2-2(10)(8)cos(90)
d^2=164
d=√164=12.81
the bearing of R from P to the nearest degree:
180-155=35 degrees
Answer:
Look at explanation
Step-by-step explanation:
Ok,
I got...
radius of convergence = 1
interval of convergence = 3 ≤ x ≤ 5
Answer:
It is showing a slope of 1/4.
Step-by-step explanation:
It is also what a linear equation would look like on a graph.
Answer:
The probability of a bulb lasting for between 480 and 526 hours=0.74454
Step-by-step explanation:
We are given that
Standard deviation of the lifetime,
hours
Mean,
hours
We have to find the probability of a bulb lasting for between 480 and 526 hours.





Hence, the probability of a bulb lasting for between 480 and 526 hours=0.74454