A right rectangular prism has these dimensions: Length: Fraction 1 and 1 over 4 units
Width: Fraction 5 over 8 unit
Height: Fraction 3 over 4 unit

How many unit cubes of side length Fraction 1 over 8 unit are required to pack the prism without any gap or overlap?

400 cubes are required.

Step-by-step explanation:

The width could be accomplished with 5 cubes. The length could be created with 10. The height would use 8. 5 x 10 = 50. 50 x 8 = 400.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.