determine the area and perimeter of a rectangle that is five inches wide and has diagonals that are 34.37 inches long.

Step-by-step explanation:

The Pythagorean theorem tells you the long side (x) of the rectangle is found from ...

  5² + x² = 34.37²

  25 + x² = 1181

  x = √(1181 -25) = 34

The rectangle is 5 inches wide and 34 inches long.

The area is the product of the length and width:

  area = (34 in)(5 in) = 170 in²

The perimeter is twice the sum of length and width:

  perimeter = 2(34 in + 5 in) = 78 in

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq