The ratio of the areas of two similar polygons is 81: 64. if the perimeter of the first polygon is 32 cm, what is the perimeter of the second polygon? round to the nearest tenth

In two similar polygons, the ratio of their areas is the square of the ratio of their sides. If the sides of any polygon are a and b then :

Ratio of area =

Given ratio of area =81:64

Or 81:64=

Taking root of both sides

9:8=a:b

The ratio of perimeter of any two similar polygon is equal to the ratio of sides.

Ratio of perimeter = a:b

Perimeter of first polygon is 32 cm.

Let the perimeter of second polygon be x.

32:x=a:b

Or, 32:x=9:8

Cross multiplying

9x= (32)(8)

9x=256

Dividing both sides by 9

x=28.4.

The perimeter of second polygon is 28.4cm.

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

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;