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3 years ago

How do you find a ratio

Mathematics

1 answer:

Slav-nsk [51]3 years ago

6 0

Answer:

Step-by-step explanation:

To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2.

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What is the area of this parallelogram?

Step2247 [10]

It depends on the side lengths, but the sum of all the angles is 360°

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Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

step 2:-

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1 = C

step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

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3 years ago

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Maksim231197 [3]

54/4 = 13.5

take the 2 whole numbers below 13.5 and the 2 whole numbers above 13.5

12 + 13 + 14 + 15 = 54

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3 years ago

Negative three fourths plus negtive one half

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The solution is -5/4= -1 1/4

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A landscaper wants to find the answer to the question “How much time do people in Raleigh, North Carolina, spend doing yard work

Snezhnost [94]

Answer:

The result will be inaccurate.

Step-by-step explanation:

A landscaper wants to find the answer to the question “How much time do people in Raleigh, North Carolina, spend doing yard work in one week?”

He asks the owners of all 120 houses in a Raleigh neighborhood.

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Firstly, the sample is not random as the person selected all the 120 houses in the neighborhood.

Secondly, few samples do not represent a large population. The city must have many lawns and the lawns of a single area does not denote the lawns of the entire city.

So, the results will be inaccurate.

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