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creativ13 [48]
3 years ago
15

x})^{2} " alt=" ( 3 - ( - 4 {x})^{2} " align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Alja [10]3 years ago
3 0
The answer to the question

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En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?
Nonamiya [84]

Answer:

\displaystyle \tan A=\frac{4}{3}

Step-by-step explanation:

<u>Funciones Trigonométricas</u>

La identidad principal en trigonometría es:

sen^2A+cos^2A=1

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

Sustituyendo:

\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2

\displaystyle cos^2A=1-\frac{16}{25}

\displaystyle cos^2A=\frac{25-16}{25}

\displaystyle cos^2A=\frac{9}{25}

Tomando raíz cuadrada:

\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}

La tangente se define como:

\displaystyle \tan A=\frac{sen\ A}{cos\ A}

Substituyendo:

\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}

\displaystyle \tan A=\frac{4}{3}

6 0
3 years ago
Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

But

<h3>log_{10}(10)  = 1</h3>

So we have

x =  log_{10}(1200)

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

That's

<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0
3 years ago
What is the range of the linear parent function
kotegsom [21]

Answer:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

Step-by-step explanation:

The graph of the linear function f(x) = ax + b is a line with slope m = a and y-intercept at (0, b).

Characteristics of the Linear Function: Domain: the set of all real numbers.

Range: the set of all real numbers.

5 0
3 years ago
Read 2 more answers
Y = (x - 3)²(x + 1)²
Firlakuza [10]

Answer:

This the answer but it words because i didn't really wanna type all those numbers but just transfer this into numbers and you'll have the simplified version :)

x to the 4 power minus 4x to the third power minus 2x squared plus 12x plus 9

Step-by-step explanation:

8 0
3 years ago
What is the present age of Alex if he is one- fourth the age of a his father and if the age of the father is doubled, it is 20 y
AURORKA [14]

take father's age as x

if it is doubled i.e 2x .we get the answer as 20 less than 100 which means 100-20=80

accordingly the equation will be 2x=80

x=40

given that ,

son is 1/4 th of his father

hence ,

son = 1/4×(x)

I.e, 1/4×40 =10

Hope it helps

6 0
3 years ago
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