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Step2247 [10]
3 years ago
14

At a dog breeder's property,

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0
45 black dogs because 2/3 of 60 is 45
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Triangle JKM with side j across from angle J, side k across from angle K, and side m across from angle M
choli [55]
The answer of this question is 883 in
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3 years ago
Which expression represents "5 less than twice x"?
Strike441 [17]
2x-5 is the expression that represents 5 less than twice x
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(Find the missing able in the triangle) *angle angle similarity *
Zina [86]

Answer:

36

Step-by-step explanation:

Hey There!

So if you didn't know all of the angles in a triangle add up to equal 180

so to find the missing angle we subtract the given angles from 180

180-90-54=36

therefore the missing angles is 36

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3 years ago
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Evaluate :5/63-(-6/21)​
Mashcka [7]

Answer:

answer is \frac{23}{63}

Step-by-step explanation:

the equation is

\frac{5}{63}-(-\frac{6}{21} )

=> \frac{5}{63}+\frac{6}{21}

=> \frac{5}{63}+\frac{2}{7} ;(divide numerator and denominator of \frac{6}{21} by 3)

=> \frac{5+2*9}{63}

=> \frac{23}{63}

hope you have understood this

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3 0
3 years ago
Integrate the following
enot [183]

I suppose you mean to have the entire numerator under the square root?

\displaystyle\int_2^4\frac{\sqrt{x^2-4}}{x^2}\,\mathrm dx

We can use a trigonometric substitution to start:

x=2\sec t\implies\mathrm dx=2\sec t\tan t\,\mathrm dt

Then for x=2, t=\sec^{-1}1=0; for x=4, t=\sec^{-1}2=\frac\pi3. So the integral is equivalent to

\displaystyle\int_0^{\pi/3}\frac{\sqrt{(2\sec t)^2-4}}{(2\sec t)^2}(2\sec t\tan t)\,\mathrm dt=\int_0^{\pi/3}\frac{\tan^2t}{\sec t}\,\mathrm dt

We can write

\dfrac{\tan^2t}{\sec t}=\dfrac{\frac{\sin^2t}{\cos^2t}}{\frac1{\cos t}}=\dfrac{\sin^2t}{\cos t}=\dfrac{1-\cos^2t}{\cos t}=\sec t-\cos t

so the integral becomes

\displaystyle\int_0^{\pi/3}(\sec t-\cos t)\,\mathrm dt=\boxed{\ln(2+\sqrt3)-\frac{\sqrt3}2}

7 0
3 years ago
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