Horizontal
As they have the same y coordinates
<span>So we have a problem with two unknows and one equation. We have to express one over the other like this: 7a - 2b = 5a + b. First we separate one kind on the left side and the other kind on the right side: 7a - 5a = b + 2b. Then: 2a = 3b. Now we divide both sides by 2 and get: a= 3b/2.</span>
Answer:
First option and Fourth option.
Step-by-step explanation:
To solve this exercise you need to use the following Trigonometric Identity:
![sin\alpha=\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=sin%5Calpha%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
In this case you know that:
![\alpha =C](https://tex.z-dn.net/?f=%5Calpha%20%3DC)
Since triangle ABC is similar to triangle DEF:
![\angle C=\angle F](https://tex.z-dn.net/?f=%5Cangle%20C%3D%5Cangle%20F)
Let's begin with the triangle ABC.
You can identify that:
![opposite=AB\\hypotenuse=AC](https://tex.z-dn.net/?f=opposite%3DAB%5C%5Chypotenuse%3DAC)
Then, substituing values, you get:
![sinC=\frac{AB}{AC}](https://tex.z-dn.net/?f=sinC%3D%5Cfrac%7BAB%7D%7BAC%7D)
In triangle DEF, you know that:
![opposite=DE\\hypotenuse=DF](https://tex.z-dn.net/?f=opposite%3DDE%5C%5Chypotenuse%3DDF)
So, substituing values, you get:
![sinF=sinC=\frac{DE}{DF}](https://tex.z-dn.net/?f=sinF%3DsinC%3D%5Cfrac%7BDE%7D%7BDF%7D)
Answer:
96x^3+24x^2-432x+270
Step-by-step explanation:
hope it helped
Answer:
The correct answer is option A.
Step-by-step explanation:
Let's start by analyzing the information we have.
We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.
But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.
Therefore, what will be charged with taxes will be:
70-25 = 45
Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:
45.0,05 = 2,25
Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:
2.25 + 70 = 72.25
Therefore, the total value of the purchase is 72.25.