You need to translate the angles using this function (x,y) to (x+3,y-3)
first of all find A and B and C
A=(0,3),B=(-1,1),C=(2,1)
After the translation
A'=(3,0),B'=(2,-2),C'=(5,-2)
If you take a look at my really poorly drawn diagram, we can see it is a trigonometry problem. The angle, however, is outside the triangle, and we can find the angle inside the triangle next to it by taking it away from 90°:
90°0' - 72°54' = 17°6' ≈ 17.1°.
We can find the other angles becuase one is 90° and the other is:
180°-90°-17°6'=72°54' ≈ 72.9°(which you can see if you know your angle theorems).
We now have diagram 2, nicely simplified so we can see where to go.
Using the Sine Rule, i.e.

We can rearrange to find our length b:

Substituting numbers in:

b=366 feet.
Answer:
Below in bold.
Step-by-step explanation:
x /18 = 12/10
10x = 18*12
x = 216/ 10
= 21.6.
10/w = 18/24
10/w = 3/4
3w = 40
w = 40/3 = 13 33 to the neaest hundredth.
Answer:
20 is 80% of 25
Step-by-step explanation:
We assume, that the number 25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25, so we can write it down as 100%=25.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=25
2) x%=20
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 20 is what percent of 25
100%/x%=25/20
(100/x)*x=(25/20)*x - we multiply both sides of the equation by x
100=1.25*x - we divide both sides of the equation by (1.25) to get x
100/1.25=x
80=x
x=80
Answer:
4
Step-by-step explanation:
Since there are 4 columns of x and y values the answer is 4.