What role does gravity and inertia play in our Solar System?

1 answer:

3 0

It keeps the planets in orbit.

Inertia is what keeps an object moving (in the same direction). Gravity is the pull of an object to another.

The planets have reached the perfect medium to where inertia keeps the planets moving (instead of remaining completely still in space), and gravity pulls them toward the sun so that they move around it instead of moving straight past it or straight into it.

This is also true about the Earth and the moon.

This is also true with satellites in orbit.

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What are the critical points for g(θ) = 20θ − 5 tan θ

jarptica [38.1K]

g(θ) = 20θ − 5 tan θ

To find out critical points we take first derivative and set it =0

g(θ) = 20θ − 5 tan θ

g'(θ) = 20 − 5 sec^2(θ)

Now we set derivative =0

20 − 5 sec^2(θ)=0

Subtract 20 from both sides

− 5 sec^2(θ)=0 -20

Divide both sides by 5

sec^2(θ)= 4

Take square root on both sides

sec(θ)= -2 and sec(θ)= +2

sec can be written as 1/cos

so sec(θ)= -2 can be written as cos(θ)= -1/2

Using unit circle the value of θ is $\frac{2\pi}{3} and\frac{4\pi}{3}$

sec(θ)= 2 can be written as cos(θ)=1/2

Using unit circle the value of θ is $\frac{\pi}{3}and\frac{5\pi}{3}$

For general solution we add 2npi

So critical points are

$\frac{2\pi}{3} + 2n\pi,\frac{4\pi}{3} + 2n\pi , \frac{\pi}{3} + 2n\pi, \frac{5\pi}{3} + 2n\pi$

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3 years ago

A sign language club made $627.50 from selling popcorn at a festival. The popcorn cost the club $95.00. Which expression represe

liq [111]

Answer:

option 3

Step-by-step explanation:

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3 years ago

Read 2 more answers

A new test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A med

Troyanec [42]

The tree diagram of the problem above is attached
There are four outcomes of the two events,

First test - Cancer, Second Test - Cancer, the probability is 0.0396
First test - Cancer, Second Test - No Cancer, the probability is 0.0004
First test - No Cancer, Second Test - There is cancer, the probability is 0.0096
First test - No cancer, Second Test - No cancer, the probability is 0.9054

The probability of someone picked at random has cancer given that test result indicates cancer is $\frac{0.0396}{0.0396+0.0096}= \frac{33}{41}$

The probability of someone picked at random has cancer given that test result indicates no cancer is $\frac{0.0396}{0.0004+0.9504} = \frac{99}{2377}$