Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm
Would it be 33/10? If you are multiplying and then division you would use the inverse of the divided fraction and multiply. So you could invert 2/5 to 5/2 and add to 4/5. After finding the common denominator it would be adding 8/10 + 25/10 = 33/10.
Answer:
A. 33x + 92y
Step-by-step explanation:
Set up the problem like this and combine like terms:
40x + 58y
- 7x + 34y
--------------------
33x + 92y
Or, set up the problem like this and combine like terms:
(40x + 58y) + (-7x + 34y)
40x + 58y - 7x + 34y
40x - 7x + 58y + 34y
33x + 92y
You should get the same answer with either method.
It would fall between 6 and 7.
I want to say 81°
Here's how I found that:
The angle 105° is on a straight line showing the outer obtuse angle. A straight line is 180°.
180-105=75.
Therefore that inner angle of the 105° is 75°.
We are also given the top angle of 24°.
All 3 angles of a triangle should add up to 180. So, we get the 75+24=99
180-99=81
Last angle should be 81°
