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Alik [6]
3 years ago
7

Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does sh

e put in each box?
Mathematics
1 answer:
Kryger [21]3 years ago
7 0
The best way to work this out is to find the total number, minus the remained. In this case, subtract four from 196, and this gives you 192. As you've got to put the pencils into 8 boxes, you have to divide 192 by 8, and this gives you 24.
Therefore, Soni can put 24 pencils can be put into each box, with four pencils remaining.
Hope this helps :) 
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diamong [38]
<span>If 100C2 has a value of 4,950, what is the value of 100C98?
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(10.02)
melisa1 [442]

Answer:

sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}

Therefore:

sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}

cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}

Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}

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3 years ago
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5/8

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8 letters, 3 vowels, 5 consonants

5 consonants out of 8 letters = 5/8

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Use the information to find the value cot 0 =
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The tangent function is given by:

\tan (\theta)=\frac{opposite}{_{\text{ }}adjacent}=\frac{5}{12}

Since the angle is in the 3rd quadrant the opposite side and the adjacent side are negative. So, the cotangent function is given by:

\cot (\theta)=\frac{1}{\tan (\theta)}=\frac{adjacent}{_{\text{ }}opposite}=\frac{-12}{-5}=\frac{12}{5}

Answer:

12/5

8 0
1 year ago
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