The shape of a cross-section of a cube depends on the orientation of the slicing plane. What is the cross-section of a cube, if
the slice is made parallel to one of the faces?
2 answers:
<h3>Answer:</h3>
The cross-section of the cube that is obtained by slicing a cube parallel to one of it's face is:
Square
<h3>Step-by-step explanation:</h3>We know that the faces of a cube are made up of squares.
As, the cube has 6 faces each made up of squares.
so, when is slicing is done parallel to any of the faces of a cube then we will obtain the slice similar to the shape of the face of the cube.
i.e. the cross-section of the slice so formed is:
Square.
Also, the slicing could be seen with the help of a figure.
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Answer:
Please see attached image and all steps below for both parts
Step-by-step explanation:
Task 1
The following system of equations includes a linear equation and a quadratic one:
it can be solved by using substitution in the second equation of the variable "y" by the linear expression of the first equation:
and this product of two factors will e zero when either factor is zero, that is: when x = 0, or when x = 9 [to make zero the binomial(x - 9)]
There are two solutions: x = 0 and x = 9.
When we graph both expressions in the system, we see that the line intercepts the parabola at the points (0, 2) and (9, 11). See attached image.
Task 2
Part 1:
Let's pick 30 as a number larger than 25. 30 can be written as 40 - 10
So we can use:
to calculate its square.
Part 2:
let's choose a=9 and b=10 so we use:
Answer:
<h2><em><u>$23.40 </u></em></h2>Step-by-step explanation:
<em><u>Given,</u></em>
Cost price of 8 cakes = $62.40
<em><u>So,</u></em>
Cost price of 1 cake = $
<em><u>Therefore,</u></em>
Cost price of 3 cakes
= $( × 3)
- <em>[On dividing 62.40 by 8]</em>
= $(7.80 × 3)
- <em>[On multiplying]</em>
= $23.40
<em><u>Hence,</u></em>
<em><u>The required cost of 3 cakes is $23.40 (Ans)</u></em>