Answer:
Step-by-step explanation:
Positive integers are of the form 2n
The first term is 2 and the 130th term is 2(130)=260
The sum of this arithmetic sequence is the average of first and last terms times the number of terms
(2+260)(130/2)
17030
Answer:
½ or 11/10
Step-by-step explanation:
3/10 = 8/10 - X
X = 8/10 - 3/10 = 5/10 = 1/2
Or,
X - 8/10 = 3/10
X = 11/10
Answer:
270
Step-by-step explanation:
Answer:
<em>Scale factor=2</em>
<em>The perimeter of the enlarged figure is 19</em>
<em>The area of the enlarged figure is 4 times the area of the original figure</em>
Step-by-step explanation:
<u>Scaling</u>
There are two figures, the red rectangle (original) and the blue rectangle (enlarged).
To find the scale factor we directly compare the height of both rectangles and note:
height of original rectangle=1.5
height of enlarged rectangle=3
Thus, the scale factor is 3/1.5 = 2
Scale factor=2
The original perimeter is calculated as:
P1=2*1.5+2*3.25=3+6.5=9.5
The perimeter of the enlarged figure is 2 times the original perimeter
P2=2*9.5=19
The perimeter of the enlarged figure is 19
To calculate the area of the enlarged figure, we use
A2=H2*W2
Where H2 and W2 are the height and width of the enlarged figure.
Since
H2=2*H1
W2=2*W1
A2=4*A1
The area of the enlarged figure is 4 times the area of the original figure
