Answer:
d = 7.2
Step-by-step explanation:
Step 1: Write out equation
d/1.2 = 6
Step 2: Multiply both sides by 1.2
d = 7.2
Answer:
![8.5m^{2}+ m -5](https://tex.z-dn.net/?f=8.5m%5E%7B2%7D%2B%20m%20-5)
Step-by-step explanation:
Since perimeter,
and we know that P=2(l+w) then ![P=2(l+m^{2})=2l+2m^{2}](https://tex.z-dn.net/?f=P%3D2%28l%2Bm%5E%7B2%7D%29%3D2l%2B2m%5E%7B2%7D)
The length will be ![2l=19m^{2}+ 2m -10-2m^{2}=17m^{2}+ 2m -10](https://tex.z-dn.net/?f=2l%3D19m%5E%7B2%7D%2B%202m%20-10-2m%5E%7B2%7D%3D17m%5E%7B2%7D%2B%202m%20-10)
Now ![l=8.5m^{2}+ m -5](https://tex.z-dn.net/?f=l%3D8.5m%5E%7B2%7D%2B%20m%20-5)
Answer:
x=16/113
Step-by-step explanation:
look at them in order
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)
The domain of the third piece of the graph is contained in interval <u>B. (12, 20)</u>.
<h3>What is the domain of a graph?</h3>
The domain of a graph consists of all the input values shown on the x-axis.
The input values (domain) are shown on the x-axis, unlike the range, whose output values are shown on the y-axis.
Therefore, the domain comprises the independent variables or values, which can be determined using the function, y = f(x).
Thus, the domain of the third piece of the graph can be determined in interval <u>B. (12, 20)</u>.
Learn more about domain and range at brainly.com/question/10197594 and brainly.com/question/2264373
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