Asandbox is shaped like a kite. each unit on the coordinate plane represents one foot. a planner would like to replace the wooden border around the sandbox. how many feet of wood does he need? round to the nearest whole number, if necessary. feet

ANSWER

34 ft

EXPLANATION

The wooden border around the sandbox is the perimeter of the sandbox.

Note that, the sides of the kite are the diagonals of an invisible right triangle. See attachment.

We can use the Pythagoras Theorem to find the length of the longer side

The length of one of the shorter sides is

The length of wood he needs is

He needs approximately 34 ft of wood.

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;