3 years ago

Please help me find the solution

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

8 0

C.) (-4,3)
Use the process of elimination and plug in the answer of x or y to one of the problems

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How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6

Ivahew [28]

$9\cos(2t)=6\implies\cos(2t)=\dfrac23$

Using the fact that cos is 2π-periodic, we have

$\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi$

That is, $\cos(\theta+2n\pi)=\cos\theta$ for any $\theta$ and integer $n$ .

$\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi$

We get 2 solutions in the interval [0, 2π] for $n=0$ and $n=1$ ,

$t=\dfrac12\cos^{-1}\left(\dfrac23\right)\text{ and }t=\dfrac12\cos^{-1}\left(\dfrac23\right)+\pi$

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3 years ago

Is it true or false lollll

Reika [66]

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3 years ago

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Help quick pls lol I’m doing my homework and it has to be due in 5 minutes

snow_tiger [21]

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Step-by-step explanation:

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3 years ago

Which number produces a rational number when added to 0.3?

Afina-wow [57]

Basically you need to find the answer choice that is rational. That way the sum will also be rational.

√7 is irrational as well as π and 0.5050050005...

2/4 is the only rational option.

answer: D

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4 years ago

If a gas-filled balloon rises 40 feet in the 1st minute, 60 feet in the 2nd minute, and 80 feet in the 3rd minute, how many feet

tresset_1 [31]

The distance traveled by the balloon in every minute makes an arithmetic sequence with a first term equal to 40 ft and common difference equal to 20. The nth term of an arithmetic sequence is calculated by,
an = a1 + (n - 1) x d
Substituting,
an = 40 + (15 - 1) x 20 = 320
Thus, the answer is letter B. 320 feet.

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3 years ago

Please help me find the solution ​

Please help me find the solution