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

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.