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3 years ago

Which is bigger one seventh of 14 or half of 36? (this is a ratio)

Mathematics

1 answer:

Kazeer [188]3 years ago

8 0

Half of 36 is greater than one seventh of 14

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Jim was thinking of a number. Jim adds 20 to it, then doubles it and gets an answer of 99.2. What was the original number?

azamat

Alright, lets get started.

Jim was thinking of a number.

Suppose the number Jim was thinking, is x.

Jim adds 20 to it means number will be = $x+20$

And Jim doubles it, means $2*(x+20)$

Jim gets 99.2 and as per us, he gets $2*(x+20)$

So, making them equal

$2(x+20)=99.2$

$2x+40=99.2$

Subtracting 40 in both sides

$2x+40-40=99.2-40$

$2x=59.2$

$x=29.6$

It means the original number is 29.6. : Answer

Hope it will help :)

6 0

2 years ago

Please help?

Mazyrski [523]

Answer:

$23\sqrt{3}\ un^2$

Step-by-step explanation:

Connect points I and K, K and M, M and I.

1. Find the area of triangles IJK, KLM and MNI:

$A_{\triangle IJK}=\dfrac{1}{2}\cdot IJ\cdot JK\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 2\cdot 3\cdot \dfrac{\sqrt{3}}{2}=\dfrac{3\sqrt{3}}{2}\ un^2\\ \\ \\A_{\triangle KLM}=\dfrac{1}{2}\cdot KL\cdot LM\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 8\cdot 2\cdot \dfrac{\sqrt{3}}{2}=4\sqrt{3}\ un^2\\ \\ \\A_{\triangle MNI}=\dfrac{1}{2}\cdot MN\cdot NI\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 3\cdot 8\cdot \dfrac{\sqrt{3}}{2}=6\sqrt{3}\ un^2\\ \\ \\$

2. Note that

$A_{\triangle IJK}=A_{\triangle IAK}=\dfrac{3\sqrt{3}}{2}\ un^2 \\ \\ \\A_{\triangle KLM}=A_{\triangle KAM}=4\sqrt{3}\ un^2 \\ \\ \\A_{\triangle MNI}=A_{\triangle MAI}=6\sqrt{3}\ un^2$

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

$A_{IJKLMN}=2\cdot \left(\dfrac{3\sqrt{3}}{2}+4\sqrt{3}+6\sqrt{3}\right)=23\sqrt{3}\ un^2$

Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.

7 0

2 years ago

What is another way to write 9x200?

pashok25 [27]

9×2=18. add the tow zeros like this 9×2=18+00=1,800

7 0

2 years ago

Read 2 more answers

What is the product of - 4 and 9? show your work using numerical property

Anettt [7]

Answer:

Step-by-step explanation:

um here

9 x 4 = 36

hope it helps :D

5 0

2 years ago

Change 4 7/8 to an improper fraction ?

alex41 [277]

Multiply 4&8, that makes 32 then add the numerator which is 7. 32+7=39, the improper fraction is 39/8. Hope this helps. If you need more info look online

8 0

2 years ago