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3 years ago

Lizards can eat 45 ants per minute. How long would it take to eat 1,080 ants?

Mathematics

1 answer:

dsp733 years ago

4 0

Answer: 24 minutes!

Step-by-step explanation: As mentioned, it can eat 45 ants per minute, How long would it take to eat 1,080 ants?

It's simple, just divide 1080 by 45 and when you divide it, the answer is 24!

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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

A new van is bought for $30,000 and depreciates in value by 8. 4% per year

Kobotan [32]

Answer:

2520 decrease per year

Step-by-step explanation:

8.4% is also .084 so you multiply .084 by 30,000 and get 2520.

5 0

2 years ago

Find the output when the input is 10

bulgar [2K]

I think it’s 5. I’m not sure

4 0

3 years ago

HELPPP MEEEE OUTTTTTT ITS URGENTTTTT!!!!

AlladinOne [14]

Answer:

(x-12)^2+(y-2)^2=4

Step-by-step explanation:

3 0

3 years ago

How many different orders can three students be selected from 10?

KATRIN_1 [288]

That would be the number of permutations of 3 from 10.

= 10P3 = 10! / 7! = 10*9*8 = 720

5 0

3 years ago