There will be at least 1,350 bacteria in the Petri dish in 3 hours, or at 11:00am.
8:00am: 50 bacteria
9:00am: 150 bacteria
10:00am: 450 bacteria
11:00am: 1350 bacteria
There are infinitely many ways to do this. One such way is to draw a very thin stretched out rectangle (say one that is very tall) and a square. Example: the rectangle is 100 by 2, while the square is 4 by 4.
Both the rectangle and the square have the same corresponding angle measures. All angles are 90 degrees.
However, the figures are not similar. You cannot scale the rectangle to have it line up with the square. The proportions of the sides do not lead to the same ratio
100/4 = 25
2/4 = 0.5
so 100/4 = 2/4 is not a true equation. This numerically proves the figures are not similar.
side note: if you are working with triangles, then all you need are two pairs of congruent corresponding angles. If you have more than three sides for the polygon, then you'll need to confirm the sides are in proportion along with the angles being congruent as well.
Answer:
i think its 12 :)
Step-by-step explanation:
20 + 48 = 68
180 - 68 = 112
20 + 48 + 112 = 18 (a full triangle!)
The domain is the x value: (-3)
The range are the y values: (0, 1, 2, 3) in order from least to greatest
No this is not a function because that value of x is "reused". You can "reuse" a y value with different x values but you can't reuse an x value ever, even if the y's are different. x's cannot be the same
Answer:
Step-by-step explanation:
and 
and we are told that C is 6cm longer than A. That means that C = A + 6.
We are going to cross multiply each one of those ratios. The first one gives us
4A = 3B and the second one gives us
9B = 8C. But since C = A + 6, then
9B = 8(A + 6) and
9B = 8A + 48 and
Now we will solve the first equation above for A:
If 4A = 3B, then
and will use that as a sub for A in the second equation:
and
9B = 6B + 48 and
3B = 48 so
B = 16.
Now that we know B, we can use it to solve for A:
4A = 3(16) and
4A = 48 so
A = 12.
Then we can use that all the way back in the expression we set up for C:
C = A + 6 so
C = 12 + 6 so
C = 18
12 + 16 + 18 is the length of the string: 46cm
