What is the area of a 45 degree sector of a circle with a radius of 12in.? Use 3.14 and round the answer to the nearest square inch.

57 square inches

Step-by-step explanation:

First consider that a 45 degree sector of a circle is 45/360 of the area of the full circle from which it is cut.  This comes out to 1/8 of the full circle area.

The area of a circle of radius 12" is A = π(12 ")^2, or A = 144π.

The area of the sector in question is 1/8 of that, or

A = (1/8)(144π), or A = 18π square inches, or approximately 57 square inches.

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

no

step-by-step explanation:

2-7=-5

7-2=5

when you combing like terms for ech expression, 5 and -5. these numbers are not equal to each other.