Answer: Side of largest square tile will be 105 feet.
Explanation:
Since we have given that
dimensions of the wall is 42 feet by 10 feet
So,
Length of wall = 42 feet
Breadth of wall = 10 feet
First we calculate the H.C.F. of 42 and 10,
which is 2 only.
The largest square tile side would be 2 feet.
Now, we find the number of tiles used,
Number of tiles =
![\frac{\text{Area of wall}}{\text{H.C.F. of }42\text{ and }11\times\text{ H.C.F. of }42\text{ and } 11}}\\\\=\frac{42\times 10}{2\times 2}\\\\=\frac{420}{4}\\\\=105](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BArea%20of%20wall%7D%7D%7B%5Ctext%7BH.C.F.%20of%20%7D42%5Ctext%7B%20and%20%7D11%5Ctimes%5Ctext%7B%20H.C.F.%20of%20%7D42%5Ctext%7B%20and%20%7D%2011%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B42%5Ctimes%2010%7D%7B2%5Ctimes%202%7D%5C%5C%5C%5C%3D%5Cfrac%7B420%7D%7B4%7D%5C%5C%5C%5C%3D105)
We get integer value of number of tiles.
Therefore, Side of largest square tile will be 2 feet.
3 4/5 rounds to 4
5 1/6 rounds to 5
4 x 5 = 20
I hope this helped! :)
The graph that matches the given equation is y≥x-1 is Graph A.
Option: C.
<u>Step-by-step explanation:</u>
The given equation y≥x-1 is a linear inequality equation.
Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.
- First, rearrange the equation as y in the left and other terms in the opposite side.
- Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
- Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal is present then the space below the line has to be shaded.
For the given equation y≥x-1,
The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.
So the graph A is the graph that matches the equation y≥x-1.
Answer:
D - x = 19 x = -17
Step-by-step explanation:
Factor the equation to make the problem easier - you should have this:
(x - 18) (x + 18) = 1
Set each binomial to 1:
x - 18 = 1
x + 18 = 1
This should give you x = 19 and x = -17