3 years ago

PLEASE ANSWER

Mathematics

1 answer:

Sonja [21]3 years ago

8 0

Answer:

Step-by-step explanation:

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Given: △PTC<br> m∠T=120°, m∠C=30°<br> PT=4<br> Find: PC.

DaniilM [7]

The law of sines tells you ...

... PC/sin(T) = PT/sin(C)

Multiplying by sin(T), we get ...

... PC = PT·(sin(T)/sin(C))

... PC = 4·sin(120°)/sin(30°) = 4·(√3/2)/(1/2)

... PC = 4√3 ≈ 6.928

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Rudiy27

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Step-by-step explanation:

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IM BEING TIMED, WILL GIVE 25 POINTS (NEEDED WITHIN THE NEXT 20 MINUTES The graph g(x)=x^3-x is shown. (idk how to screenshot, so

saveliy_v [14]

Answer:

The function is

$f(x)=0.5x^3-3x^2+5.5x-2$

The graph is attached.

Step-by-step explanation:

We have a function g(x) and we need to graph a new function that is function of g(x).

The final function is

$f(x)=0.5\cdot g(x-2)+1$

We start by calculating g(x-2):

$g(x-2)=(x-2)^3-(x-2)\\\\g(x-2)=(x^3-6x^2+12x-8)-(x-2)\\\\g(x-2)=x^3-6x^2+11x-6$

Then, we can calculate f(x) as:

$f(x)=0.5\cdot g(x-2)+1\\\\g(x-2)=x^3-6x^2+11x-6\\\\\\f(x)=0.5(x^3-6x^2+11x-6)+1\\\\f(x)=0.5x^3-3x^2+5.5x-3+1\\\\\\f(x)=0.5x^3-3x^2+5.5x-2$

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3 years ago