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nirvana33 [79]
2 years ago
5

A factory used 99.19 kilograms of tomatoes to make 7 batches of pasta sauce. What quantity of tomatoes did the factory put in ea

ch batch?
Mathematics
1 answer:
____ [38]2 years ago
5 0

Answer:

14.17 kilograms

Step-by-step explanation:

Find what quantity of tomatoes was in each batch by dividing the total amount of tomatoes by the number of batches:

99.19/7

= 14.17

So, the factory put 14.17 kilograms of tomatoes in each batch.

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The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the disabled is at an angle of 6
Darya [45]

Answer:

The ramp should be 32.9 feet longer.

Step-by-step explanation:

When the ramp is at 6^{o} to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;

Sin θ = \frac{opposite}{hypotenuse}

Sin 6^{o} = \frac{3.45}{l}

l = \frac{3.45}{Sin 6^{o} }

 = \frac{3.45}{0.10453}

 = 33.0048

l = 33.0 feet

When the angle is reduced to 3^{o}, the length of the ramp would be;

Sin θ = \frac{opposite}{hypotenuse}

Sin 3^{o} = \frac{3.45}{l}

l = \frac{3.45}{Sin 3^{o} }

 = \frac{3.45}{0.05234}

= 65.9152

l = 65.9 feet

Change in length of ramp = 65.9 - 33.0

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The ramp should be 32.9 feet longer.

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