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Misha Larkins [42]
3 years ago
5

Find the exact value of the expression cos (-105)

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0
Cos(-©) negative angle is cos(+©) angle cos(-105) =cos(105) 105 =180-75 cos(180-75)= - cos(75) - cos(75)= - 0.26
Lady bird [3.3K]3 years ago
3 0
Cos(-105) = cos105 = cos(90+15) = cos90cos15 - sin90sin15 = 0.cos15 - 1.sin5 = 0 - sin15 = -sin15
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How many gallons of water will be in the fish tank after 3 minutes?
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If Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes, then the tank will be filled with 4.8 gallons of water after 3 minutes.

As per the question statement, Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes.

We are required to calculate the volume of water in gallons, that will be filled in the above mentioned tank after 3 minutes.

Here, it is given that, the tank gets filled with 0.8 gallons of water in 0.5 minutes, and that, the water flows into the tank at a constant rate.

So first, let us calculate the water flow rate into the tank per minute, that is, [(0.8 * 2) = 1.6 gallons] per minute, since [(0.5 minutes * 2) = 1 minute]

Therefore, the tank will get filled with [(1.6 * 3) = 4.8 gallons] of water in 3 minutes, if the water inflow rate is 1.6 gallons per minute.

  • Gallons: A gallon (gal) is a measuring unit for volume and capacity, typically used by the U.S. customary and earlier by the British Imperial Systems of Measurement, with 1 US gallon being equal to 3.785411784 Litres, and 1 imperial gallon being equal to 4.54609 L.

To learn more about Gallons and Constant Flow Rates, click on the link below.

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4 0
2 years ago
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h repre
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3 years ago
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Answer:

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Step-by-step explanation:

The question tells us that the larger belt moves 300 lbs in 2 mins. And this is equal to 150 lb per minute

The question also tells us that a smaller belt moves the same quantity of 300 lbs in 18 mins. And this is equal to an average of 16.667 lb per min.

Both belts will move at a rate of 166.667 lb per min.

So it will take them 300 / 166.667 = 1.8 min or 108 s.

Therefore, the answer is 1.8 min

6 0
3 years ago
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