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4 years ago

7

the pearl restaurant put a larger aquarium in its lobby. the base is 6 ft by 3 ft and the height is 4 ft how many more cubic fee

t of water does the pear reasturant aquarium hold.

1 answer:

Anit [1.1K]4 years ago

6 0

Well 6×12=72. I don't know what the original tank size was but subtract the original from this one to get your answer.

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A rectangle has one side of 8 cm. How fast is the diagonal of the rectangle changing at the instant when the other side is 6 cm

lisov135 [29]

<h2>The diagonal is increasing at 1.8 cm/minute.</h2>

Step-by-step explanation:

Let l be one side,w be other side and s be diagonal.

We have

s² = l² + w²

We have

l = 8 cm

w = 6 cm

s² = l² + w²

s² = 8² + 6²

s² = 100

s = 10 cm

Taking derivative with respect to time in s² = l² + w²

$s^2=l^2+w^2\\\\2s\frac{ds}{dt}=2l\frac{dl}{dt}+2w\frac{dw}{dt}\\\\s\frac{ds}{dt}=l\frac{dl}{dt}+w\frac{dw}{dt}\\\\\frac{dw}{dt}=3cm/min\\\\\frac{dl}{dt}=0cm/min\\\\10\frac{ds}{dt}=8\times 0+6\times 3\\\\\frac{ds}{dt}=1.8cm/min$

The diagonal is increasing at 1.8 cm/minute.

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3 years ago

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Step-by-step explanation:

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3 years ago

Find the coterminal angle between 0 and 360°of the angle -280°

Bond [772]

Answer: So, the coterminal angle of 450° is -90°.

Step-by-step explanation:(i) 395°

Write 395° in terms of 360°.

395° = 360° + 35°

So, the coterminal angle of 395° is 35◦

(ii) 525°

Write 525° in terms of 360°.

525° = 360° + 165°

So, the coterminal angle of 525° is 165°.

(iii) 1150°

Write 1150° in terms of 360°.

1150° = 3(360°) + 70°

So, the coterminal angle of 1150° is 70°.

(iv) -270°

Write -270° in terms of 360°.

-270° = -360° + 90°

So, the coterminal angle of 270° is 90°.

(v) -450°

Write -450° in terms of 360°.

-450° = -360° - 90°

So, the coterminal angle of 450° is -90°.

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4 years ago