Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Step-by-step explanation:
Part 1) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 2) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 3) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

substitute the values





Part 4) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 5) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Answer:
12 20 22
Step-by-step explanation:
Answer:
a_n = 3^(n -1)
Step-by-step explanation:
The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...
a_n = a1·r^(n-1)
Your sequence has first term 1 and ratio r=3, so the sequence is given by ...
a_n = 3^(n -1)
_____
<em>Comment on sequences and series</em>
The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.
Answer:

Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:





* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
_______________________________________________
Method #2
Or, we can use the Distance Formula:
![\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E%7B2%7D%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E%7B2%7D%7D%20%3D%20D)
[2, 7] [3, −3]
![\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-3%20%2B%202%5D%5E%7B2%7D%20%2B%20%5B3%20%2B%207%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{[-1]^{2} + 10^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-1%5D%5E%7B2%7D%20%2B%2010%5E%7B2%7D%7D%20%3D%20D)


** You see? It does not matter which method you choose, as long as you are doing the work correctly.
I am delighted to assist you anytime.
Answer:
10 seconds
Step-by-step explanation:
we are given the height (s) which is 1600ft. and the formula—where t is time in seconds— t= 1/4
, so we can plug 1600ft in for s and solve:
t= 1/4
t= 1/4(40)
t= 10 seconds