We are given coordinates of the triangle: A(2,2), B(7,1) and C(8,-4).
We need to rotated 90° counterclockwise about the origin.
In order to find the new coordinates of rotatation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).
Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.
In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.
On applying rule (h, k) ---> (-k,h), we get
A(2,2) --> A'(-2,2)
B(7,1) --> B'(-1,7)
C(8,-4) --> C'(4,8)
To solve this problem, we have to find the perimeter of the shape.
we already know that two of the sides are 82m, all we need to do is find the circumference of the semicircles.
to find circumference, you multiply the diameter of a circle by pi. since we have two identical semicircles, we have one full circle. 66•3.14=207.24
207.24+82+82=371.24
the answer is 371.24m
This is the concept of application of geometry and financial mathematics; To calculate for the total cost of the carpet we proceed as follows;
Total cost=[area of the carpet]*[price per square yard]
area of carpet is given by:
Area=πr^2
where;
radius,r=6 yeards
=π*6^2
=113.1 square yards
therefore the price of the carpet will be:
113.1*14
=$1,583.4
<span>sure. (2/3)=.667 and 5/6=.833. when you multiply them it should look like
(.667) x (.833) x 14 which equals 7.778. i hope this helps.</span>
