As the minute hand of a large clock forms an angle of 52, the end of the minute hand traverses a distance of 23.5 inches. find the length of the minute hand.

The minute hand when moving is swiping a sector

The arc length is given 23.5 inch the angle swiped is 52 degree

we have to find radius

length of arc = 2pi r( theta )/360

23.5 = 2* 3.14 * r ( 52/360)

23.5 = r(0.907)

r= 23.5/ 0.907

r=25.90 inches Answer

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;