Abrick oven has an opening as shown. what is the area of the entire opening?

Area = 13.5 ft²

Step-by-step explanation:

The area of it > area rectangle + Area of the triangle (by the two curved part over the triangle

∵ Dimensions of the rectangles are 4 ft. and 2.5 ft.

∵ Dimensions of the triangle are 4 and 1.25

∴ Area = 4 × 2.5 + 1/2 (4)(1.25) = 10 + 2.5 = 12.5 ft²

If we find the area of the rectangle with dimensions 4 and 3.75 (2.5 + 1.25)

∴ The area of it < 4 × 3.75 = 15 ft.² (by the two curved parts)

∴ 12.5 < Area of it < 15

∵ The suitable answer is 13.5 ft.²

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."

b

step-by-step explanation: