Find the perimeter of a square whose diagonal is 8 feet. round to the nearest tenth if needed.
math test tomorrow

Hello from MrBillDoesMath!

22.6

Discussion:

From the attachment, the square has sides of length "x", and the Pythagorean theorem applies. Hence

x^2 + x^2 = 8^2           =>

2 x^2 = 8^2                 => divide both sides by 4

x^2   = 8^2/2               => 8^2 = 64,   8^2/2 = 32

x^2 = 32                      =>

x = sqrt(32) =               => as 32 = 16 * 2

x = sqrt(16) *  sqrt(2)    =>

x = 4 sqrt(2)

The perimeter is 4*x

             = 4*(4 sqrt(2) )

             = 16 * sqrt(2)        => as sqrt(2) is approx 1.41

            = 22.6

Thank you,

MrB

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.