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3 years ago

A fish eats 12 worms in a minute. How long will it take the fish to eat 510 worms

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

6 0

If the fish eats 12 worms per minute and it needs to eat 510, we divide 510 by 12 to get 42.5 minutes

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What is the algebra expression for this six feet less than the width

Tatiana [17]

So,

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"six feet less than the width (w)"

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3 years ago

The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

$sin\theta_1 = - \frac{2\sqrt{70}}{19}$

Step-by-step explanation:

We are given that $\theta_1$ is in <em>fourth</em> quadrant.

$cos\theta_1$ is always positive in 4th quadrant and

$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$

$\theta_1$ is in <em>4th quadrant </em>so $sin\theta_1$ is negative.

So, value of $sin\theta_1 = - \frac{2\sqrt{70}}{19}$

6 0

3 years ago

8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate? Use a proportion to expla

qaws [65]

Answer:

Yes

Step-by-step explanation:

Lisa and Frank type at the same rate.

They both type 1 page every six minutes.

Lisa types 6 pages every 36 minutes, and if we divide the minutes by the pages, we get

$\frac{36}{6} = 6$

And Frank types 5 pages ever 30 minutes, when we divide we get

$\frac{30}{5} = 6$

3 0

2 years ago

A box has dimensions of 19in long, 20.4 inches wide, and 6ins high. What is the volume of the box?

sukhopar [10]

To find the volume, multiply length, width, and height together

19 x 20.4 x 6 = 2325.6

2325.6 in³ is your answer

hope this helps

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3 years ago

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goldenfox [79]

Answer:

I believe everything is correct

Step-by-step explanation:

Hope That Helped :)

8 0

3 years ago