Awatch company is developing packaging for its new watch. the designer uses octagons with a base area of 30 in2 and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype?
a) 140 in3
b) 200 in3
c) 240 in3
d) 300 in3

answer: d) 300 in^3

step-by-step explanation: you multiply the base area by the length, 30*10 and you get an answer of 300 in^3.

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."