Answer:
The transformed points of the triangle ABC are
,
, 
Step-by-step explanation:
The new points after applying the scale factor are, respectively:






If Aidan can fill 1 potted plant from a full bucket but still have enough left for 3 more, this means Aidan can water 4 plants per full bucket. And if you multiply that 4 by 3 full buckets, it gives you 12, which is the amount of plants 3 full buckets can water.
Answer:
of the lasagna is left
<u>Step-by-step explanation:</u>
Given:
Amount of lasagna Rico eats = 1/9
Amount of lasagna His friend eats = 1/18
To Find:
The amount lasagna is left =?
Solution:
Total lasagna ate by both Rico and his friend = Amount of lasagna Rico eats + Amount of lasagna His friend eats
Total lasagna ate by both Rico and his friend = 
Total lasagna ate by both Rico and his friend = 
Total lasagna ate by both Rico and his friend = 
Total lasagna ate by both Rico and his friend = 
The amount lasagna is left = 1 - Total lasagna ate by both Rico and his friend.
The amount lasagna is left = 
The amount lasagna is left =
The amount lasagna is left =
Let's say that in the beginning he weighted x and at the end he weighted x-y, y being the number of kg he wanted to loose.
first month he lost
y/3
then he lost:
(y-y/3)/3
this is
(2/3y)/3=2/9y
explanation: ((y-y/3) is what he still needed to loose: y minus what he lost already
and then he lost
(y-2/9y-1/3y)/3+3 (the +3 is his additional 3 pounts)
(y-2/9y-1/3y)/3-3=(7/9y-3/9y)/3+3=4/27y+3
it's not just y/3 because each month he lost one third of what the needed to loose at the current time, not in totatl
and the weight at the end of the 3 months was still x-y+3, 3 pounds over his goal weight!
so: x -y/3-2/9y-4/27y-3=x-y+3
we can subtract x from both sides:
-y/3-2/9y-4/27y-3=-y+3
add everything up:
-19/27y=-y+6
which means
-19/27y=-y+6
y-6=19/27y
8/27y=6
4/27y=3
y=20.25
so... that's how much he wanted to loose, but he lost 3 less than that, so 23.25
ps. i hope I didn't make a mistake in counting, let me know if i did. In any case you know HOW to solve it now, try to do the calculations yourself to see if they're correct!
Answer: 13
Step-by-step explanation:
Pythagoras's theorem:
A^2 + B^2 = C^2
12^2 + 5^2 = x^2
144 + 25 = x^2
169 = x^2
13 = x