PLZ HELP QUICK WILL GIVE BRAINLIEST

Hilda plans to display in a clear cube the needle Betsy Ross used to sew the first American flag. The needle will fit exactly as the diagonal of the cube.

If the side length of the clear cube is 6 inches, and the diagonal of a face of the cube is 6

inches, what is the length of the needle

the length of the needle is 8.49 inches.

Step-by-step explanation:

The diagram of the clear cube is shown in the attached photo. From the diagram, a right angle triangle ABC is formed.

BC represents the diagonal of a face of the cube.

AB represents the the side length of the clear cube.

AB = h represents the length of the needle

To determine AB, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

AB² = 6² + 6² = 72

AB = √72

AB = 8.49

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

step-by-step explanation:

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