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2 years ago

a single box of thumb tacks weighed 3 1/2 if a teacher had 4 1/7 boxes of thumbtacks how much would their combined weight be?

1 answer:

6 0

Their combined weight would be 7 2/14. here are the steps of how I got my answer.
1. I made the answers into improper fractions. 3 1/2= 7/2 and 4 1/7= 29/7.
2. then I found the least common multiple (LCM) of 2 and 7 which is 14.
3. next in order to make both denominators become 14 I cant just make 7/2 into 7/14 and 29/7 into 29/14. so I multiplied 29/7 by 2 which got me 58/14 and 7/2 by 7 which got me 42/14.
4. then I did 42/14+ 58/14= 100/14.
5. Then the last step was to make the improper fraction 100/14 into a proper fraction. Now how do you do that? BY DIVIDING! I divided 100 by 14 and I got my answer of 7 2/14.

Hope this helped! :)

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2/3 or 4/6

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Answer:

Step-by-step explanation:

Let's draw the given information first for better understanding . Check the image attached.

We can use cosine rule to find the angles .

for angle A ,

$Cos A =\frac{b^2+c^2-a^2}{2bc}$

$Cos A =\frac{20^2+12^2-15^2}{2*20*12}$

$Cos A =\frac{319}{480}$

m∠A = 48.35 degrees

Similarly for angle B

$Cos B =\frac{a^2+c^2-b^2}{2bc}$

$Cos B =\frac{15^2+12^2-20^2}{2*15*12}$

$Cos B =\frac{-31}{360}$

m∠B = 94.94 degrees

Now use A+B+C=180 degrees

48.35+94.94+C=180

C=180-48.35-94.94

m∠C = 36.71 degrees

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2 years ago

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