Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
⇒ B
Step-by-step explanation:
In similar rectangles, their corresponding dimensions are proportional, which means
=
, where L is the length and W is the width
∵ Rectangle ABCD is similar to rectangle MNOP
∴ Their dimensions are proportional
∵ The dimensions of rectangle ABCD are 6 m, 14 m
∴ L
= 14 and W
= 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L
= 10.5 and W
= 4.5
∵ The rectangle MNOP is the image of rectangle ABCD after dilation
→ To find the scale factor of dilation find the ratio between the
corresponding dimensions in the two rectangles (image/pre-image)
∵
=
= 
∵
=
=
∴ The scale factor for the dilation is
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
William needs 102.6 fencing in all because 76.9 plus 25.7 equals 102.6, hope this helps!
Hey there!
"9 pounds more than" means that you'll be adding 9 to the expression.
"half the weight w" means that you'll be calculating half of w each time you solve the equation, or 0.5w.
Your entire expression will be 0.5w + 9.
Hope this helped you out! :-)
An expression for the height of the nth bounce is 0.80X^N = Height.
<h3><u>Equations</u></h3>
Since when dropped, a super ball will bounce back to 80% of its peak height, continuing on in this way for each bounce, to determine an expression for the height of the nth bounce the following calculation must be performed:
- X = Initial value
- 80% = 0.80
- N = Number of times the ball bounces
- 0.80X^N = Height
Therefore, an expression for the height of the nth bounce is 0.80X^N = Height.
Learn more about equations in brainly.com/question/2263981
Multipy $275 by the 4.5%
4.5%=.045 (just move the decimal 2 places left)
275*.045= 12.375 Susan gets $12.375 a year (don't round yet)
Multiply $12.375 by 5years 12.375*5= 61.875 (now round)
$61.90=B
I hope this helps! :)