Mathematics
15.02.2023 14:49
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Chad buys peanuts in a 2 pound bag. he repackages them into bags that hold 5/6 pound

Chad buys peanuts in a 2 pound bag. he repackages them into bags that hold 5/6 pound of peanuts. how many 2 pund bags of peanuts should chad buy so that he can fill the 5/6 pound bag without having any peanuts left.
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jacamron
jacamron
5,0(3 marks)
This item is basically asking us the least number that can be divided by 5/6 and 2 which will give whole numbers as answers for both. That, in short term, it is asking us the least common multiple of the two numbers. The least multiple of 5 and 6 is 10. When we divide 10 by 2, we get an answer of 5. Therefore, the Chad should buy 5 2-pound bags.ย 
dooboose15
dooboose15
4,6(8 marks)

The value of sin(\theta) will be -\frac{3}{5}

Explanation

Given that, tan(\theta)= \frac{3}{4}

According to the below diagram, tan(\theta)= \frac{AB}{BO}

As, \theta is in quadrant III , so AB = -3 and BO = -4

Now according to the Pythagorean theorem.....

AO^2= AB^2+BO^2\\ \\ AO^2= (-3)^2+(-4)^2\\ \\ AO^2= 9+16=25\\ \\ AO=\sqrt{25}=5

Thus, sin(\theta)= \frac{opposite}{hypotenuse}=\frac{AB}{AO}= -\frac{3}{5}



Find sin ฮธ if ฮธ is in quadrant iii and tan ฮธ = 3/4.

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