Answer:
a/8 = b/15
Step-by-step explanation:
a/b = 8/15 -- divide both side by 8 and multiple both side by b
a/8 = b/15
You have to divide , first you have to turn 28 into a fraction , 28 over one , then you have to flip 3/4 into 4/3 then multiply it
Hello :
<span>f(x) = 6 – 5x and g(x) = 4x – 1
f(x)-g(x) = 6-5x-(4x-1) = 6-5x-4x+1 = -9x+7
whene x = - 2
f(x)-g(x) = -9(-2)+7 = 25......(answer : D)</span>
Answer:
![\displaystyle \tan A=\frac{4}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%20A%3D%5Cfrac%7B4%7D%7B3%7D)
Step-by-step explanation:
<u>Funciones Trigonométricas</u>
La identidad principal en trigonometría es:
![sen^2A+cos^2A=1](https://tex.z-dn.net/?f=sen%5E2A%2Bcos%5E2A%3D1)
Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.
Dado que Sen A = 4/5, calculamos el coseno:
![cos^2A=1-sen^2A](https://tex.z-dn.net/?f=cos%5E2A%3D1-sen%5E2A)
Sustituyendo:
![\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%5E2A%3D1-%5Cleft%28%5Cfrac%7B4%7D%7B5%7D%5Cright%29%5E2)
![\displaystyle cos^2A=1-\frac{16}{25}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%5E2A%3D1-%5Cfrac%7B16%7D%7B25%7D)
![\displaystyle cos^2A=\frac{25-16}{25}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%5E2A%3D%5Cfrac%7B25-16%7D%7B25%7D)
![\displaystyle cos^2A=\frac{9}{25}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%5E2A%3D%5Cfrac%7B9%7D%7B25%7D)
Tomando raíz cuadrada:
![\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%5C%20A%3D%5Csqrt%7B%5Cfrac%7B9%7D%7B25%7D%7D%3D%5Cfrac%7B3%7D%7B5%7D)
La tangente se define como:
![\displaystyle \tan A=\frac{sen\ A}{cos\ A}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%20A%3D%5Cfrac%7Bsen%5C%20A%7D%7Bcos%5C%20A%7D)
Substituyendo:
![\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%20A%3D%5Cfrac%7B%5Cfrac%7B4%7D%7B5%7D%7D%7B%5Cfrac%7B3%7D%7B5%7D%7D)
![\displaystyle \tan A=\frac{4}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctan%20A%3D%5Cfrac%7B4%7D%7B3%7D)
Answer:
<u><em>The original price would be 50$.</em></u>
Step-by-step explanation:
To find this answer you have to divide 25% by 100, which equals 0.25. Now multiply 0.25 by 40 and you get 10$. Since 10$ was the discount, you just add 10$ + 40$, therefore 50$ is the original price.