Two rafts are traveling In opposite directions on a straight river. The raft going with the current is traveling at a speed of 1
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Using proportions, it is found that the angular velocity at the tip of the blade is of 753.98 radians per minute.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Each revolution has radians, hence in one minute, the 120 revolutions will have a measure in radians of:
M = 120 x 2pi = 240pi = 753.98
Hence the angular velocity is of 753.98 radians per minute.
More can be learned about proportions at brainly.com/question/24372153
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The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:
(1)
Where:
- Proportion of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 15 % gloss.
- Resulting concentration ratio
If we know that ,
and
, then the proportion of the paint that is 30 % gloss is:
And the quantity of gallons needed of each paint are:
Paint (30 % gloss)
Paint (15 % gloss)
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478