The box is laid on its side and the white label covers 75% of the lateral surface area of the box. Find the length x of the box.

The box is laid on its side and the white label covers 75% of the lateral surface area of the box. Find the length x of the box.

x = 7.7 inches

Step-by-step explanation:

75% of the lateral surface area of the box = Area of the sticker

Area of the sticker = 2(length + width) × height

                               = 2(5 + 4.5)(1)

                               = 19 square inches

75% of the lateral surface area of the box = 19 square inches

L.S.A. of the box =

                            = 25.33 square inches

Since lateral surface area of the rectangular box = 2(l + b)h

                                                                                 = 2(x + 5)(1)

Therefore, 2(x + 5) = 25.33

x + 5 = 12.67

x = 12.67 - 5

x = 7.67

x ≈ 7.7 inches

Therefore, length of x is 7.7 inches.                                                                                        

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.