Answer: Is this a legitimate question?
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
If the two triangles are similar, then corresponding sides must share a constant ratio. This means that:

Let's use the second ratio:

Multiply both sides by 12:

Hope this helps!
It will take 8 seconds for all of the dominoes to fall over.
This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...
"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.
The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:

Divide both sides by 10:

We will use logarithms to solve this:
Answer:
x > 7
Step-by-step explanation:
0.8 - 3.2x < -2 - 2.8x
Add 2.8x to both sides.
0.8 - 0.4x < -2
Subtract 0.8 from both sides.
-0.4x < -2.8
Divide both sides by -0.4. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality symbol changes direction.
x > 7
3n+3*6 which simplifies to 3n+18