Write the polynomial function that models the given situation. a rectangle has a length of 16 units and a width of 14 units. squares of x by x units are cut out of each corner, and then the sides are folded up to create an open box. express the volume v of the box as a polynomial function in terms of x.

Step-by-step explanation:

We are given that

Length of rectangle=16 units

Width of rectangle=14 units

We have to write a polynomial function for volume of the box when a square of side x cut from each corner of given box.

Length of new box=16-2x units

Width of new box= 14-2x units

Height of new box=x units

Volume of box=

Substitute the values then we get

Volume of new box=

Volume of new box=

Hence, the volume of the box as a polynomial function is given by

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

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5