36÷6 is 6 to show your work for it maybe draw it out and better show the equation like when you solve a bigger problem.
Answer:
(-6, 6)
Step-by-step explanation:
The coordinates of B to start with is
(-2, 2)
To dilate this by a factor of 3....
-2 * 3 = -6
2 * 3 = 6
The new coordinates of B' would be
(-6, 6)
A few things to know:
- The number 3 is called a "<u>scale factor</u>"
- Dilation means we are multiplying all the (X, Y)'s by the scale factor
- If the scale factor is <u>greater than 1</u>, the size of the shape overall increases
- If the scale factor is <u>less than 1</u>, the size of the shape overall decreases
- If the scale factor is <u>negative</u>, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.
Answer:
12/20 and 5/20
Step-by-step explanation:
for 3/5is multiplied with 4 both numerator and denominator
as known as 1/4 will multiplied by 5/5
12.5 (area of triangle) +40 (area of rectangle)=52.5
Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
<em>21, 33, 45...</em>
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as 
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;

<em>Hence the equation for the nth floor of the tower is expressed as </em>
<em></em>
<em></em>
b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

<em>Hence the height of the 65th floor is 789feets.</em>