Answer:
Step-by-step explanation:
Given data
breadth=9 in
Length=11 in
Now a square of side x is cutted for each corner such that the cardboard is made into a open-top box with
length=11-2x
breadth=9-2x
height=x
Here substract 2x because from both sides of length and breadth x units are reduced.
therefore volume of new open-top box is
Volume(v)=
<u>If air resistance is negligible, the speed of a 2 kg sphere that falls from rest through a vertical displacement of 0.2 m is most nearly</u>
Answer:
(x+1) is a factor with remainder 0.
Step-by-step explanation:
We divide (x+1) into the polynomial
through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial
.

We subtract this from the original
.
This leaves
. We repeat the step above.
.
We subtract this from
. We repeat the step above.
.
We subtract this from
. We repeat the step above.
.
We subtract this from
. There is no remainder. This means (x+1) is a factor.
The measures of 2 vertical angles are always equal, so we have:
7x+182=9x+192.
Rearranging, we have 182-192=9x-7x, which simplifies to -12=2x.
Thus, x=-6.
This means that the angles are:
i) 7x+182=7(-6)+182=182-42= 140(degrees).
ii) <span>9x+194=9(-6)+194=194-54=140 (degrees, as expected.)
Answer: x=-6</span>