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3 years ago

I need help asap!

Mathematics

2 answers:

777dan777 [17]3 years ago

7 0

Answer:

240

Step-by-step explanation:

Miss Jennifer is buying pencils in packs of 12, notebooks in packs of 16, and red pens in boxes of 20. She needs to have the same number of pencils, notebooks, and red pens. What is the least number of packs of each type should she buy?

So you know 12, 16, and 20 are even so you would find the LCM (Least Common Multiple) so 12 is 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 so I know 20 and 12 go in 120 because 20, 40, 60, 80, 100, 120 but I know 16 is not but 12, 16, 20 is able to got toe 240 because 16 is able to and I know double of 120 is 240 and since 20 and 12 can go to 120 my answer is 240.

balandron [24]3 years ago

4 0

Answer:

Miss Jennifer is buying pencils in packs of 12, notebooks in packs of 16, and red pens in boxes of 20. She needs to have the same number of pencils, notebooks, and red pens. What is the smallest number of packs of each type that she should buy?

Step-by-step explanation:

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4a
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2 years ago

Consider a triangle with angles 30o-60o-90o, with hypotenuse of length 2. Calculate the lengths of the other 2 sides and store t

kumpel [21]

Answer:

1.00 and 1.73

Step-by-step explanation:

1) Calculating the 1st and the 2nd leg using trigonometric function sine:

$sin (30^{0})=\frac{c}{2}\Rightarrow \frac{1}{2}=\frac{c}{2}\Rightarrow 2*\frac{1}{2}=2*\frac{c}{2}\Rightarrow c=1\\sin(60^0)=\frac{b}{2}\Rightarrow \frac{\sqrt{3}}{2}=\frac{b}{2}\Rightarrow b=\sqrt{3}\Rightarrow\: b\approx \:1.73$

Once one leg is found there is another way to find the other leg, using Pythagorean Theorem too.

$a^{2}=b^{2}+c^{2}\Rightarrow 2^{2}=b^{2}+1^{2}\Rightarrow 4-1=b^{2}\Rightarrow b=\sqrt{3} b\approx 1.73$

Sides

a hypotenuse: 2.00

-------------------------------

b leg: 1.73

--------------------------------

c leg: 1.00

--------------------------------

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A

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3 years ago

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