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2 years ago

Are the following triangles similar to each other? If so, why?

Mathematics

1 answer:

MAXImum [283]2 years ago

7 0

Yes the are simailer because of SSS

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Circumference of a circular disc is 157 cm, find its radius

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Owwwww would be a good time

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3 years ago

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Find the value of x

Alexeev081 [22]

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Step-by-step explanation:

180-30=150

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3 years ago

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

List the following numbers from least to greatest -5/3, 7/3, -3/4, 7/5.

sukhopar [10]

-3/4, -5/3, 7/5, 7/3

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3 years ago

The length, width, and height of a rectangular prism are in the ratio 3:2:1, respectively. What is the length of the prism if it

Arturiano [62]

The three numbers have to multiply to 48 in a ratio of 3:2:1
which would be 6:4:2
so 6 inches

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3 years ago