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Hatshy [7]
3 years ago
9

Find the square root of 7-2√5​

Mathematics
2 answers:
pickupchik [31]3 years ago
7 0

Answer:√5 - √2

Step-by-step explanation:

= √(5 + 2 - 2√10 )

= √{(√5)² +(√2)² - 2.√5.√2}

= √(√5 - √2)² (by identity a² + b² -2ab = ( a-b)²)

= √5 - √2

san4es73 [151]3 years ago
4 0

5√5 = 11.8033989 or -2√5+7

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Yuki888 [10]

Answer:

9:29 PM

Step-by-step explanation:

Let us add the number of minutes the first act, interval and second act lasted:

46 + 20 + 53 = 119 minutes

Converting this to hours and minutes:

60 minutes = 1 hour

119 minutes = 1 hour 59 minutes

Therefore, the time that the second act ends is:

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2 years ago
1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β
slava [35]

Step-by-step explanation:

1.

\tan \beta  =  \frac{1}{ \cot \beta }  =  -  \frac{3}{2 \sqrt{10} }  =  -  \frac{3 \sqrt{10} }{20}

\csc \beta  \tan \beta  =  \frac{1}{ \cos \beta  }  =  \sec \beta

Therefore,

\sec \beta  = ( \frac{7}{3} )( -  \frac{3 \sqrt{10} }{20} ) =  -  \frac{7 \sqrt{10} }{20}

2.

\csc y =  \frac{1}{ \sin y}  =  -  \frac{ \sqrt{6} }{2}

=  >  \sin y =  -  \frac{ \sqrt{6} }{3}

Use the identity

\cos y =   \sqrt{1 -  \sin ^{2} y}    \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \\ =  \sqrt{1 -  {( -  \frac{ \sqrt{6} }{3}) }^{2} }  =  -  \frac{ \sqrt{3} }{3}

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

\tan \beta  =  \frac{ \sin y}{ \cos y} =( -  \frac{ \sqrt{6} }{3} )( -  \frac{3}{ \sqrt{3} } ) =  \sqrt{2}

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

\sin x =   \sqrt{1 -  \cos ^{2} x} =  \sqrt{ \frac{11}{6} }

Solving for tan x:

\tan x =  \frac{ \sin x}{ \cos x}  =  (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) =  \frac{ \sqrt{66} }{5}

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2 years ago
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timofeeve [1]
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Answer:

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the perimeter of a rectangle is 36 cm and the length is twice the width. What are the dimensions of this rectangle?
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Answer:

36 cm

Step-by-step explanation:

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