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melamori03 [73]
2 years ago
8

A, B & C form the vertices of a triangle.

Mathematics
1 answer:
patriot [66]2 years ago
8 0

Answer:

AC = 17.8

Explanation:

to figure out the length of AC, you want to put the values into the tangent function:

tan 64° = AC/8.7

Now to solve:

first swap them so you have AC/8.7 = tan 64°

Multiply both sides by 8.7 to get AC = 8.7 tan 64°

then calculate it

AC = 8.7 x 2.0503...

AC = 17.8376

AC = 17.8 (3 Significant Figures)

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Answer:

B

Step-by-step explanation:

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Step-by-step explanation:

1. 3(5) plus 2 = 17

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Afina-wow [57]

Answer:

Es igual a 7.

Step-by-step explanation:

Ok, sabemos que:

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Entonces:

4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}

y sabemos que 2*2 = 2^2

Entonces:

4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}

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entonces:

(2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2

Ahora podemos completar cuadrados sumando y restando el termino:

2*(2^x)*(2^{-x})

Asi tendremos:

(2^x)^2 + (2^{-x})^2 =  (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 -  2*(2^x)*(2^{-x})

Entonces de momento tenemos que:

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Sabemos que el termino que esta dentro del parentesis es igual a 3.

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a^n*a^m = a^{n + m}

en el termino de la derecha.

Asi tendremos:

(2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)}  = 9 - 2 = 7

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