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Inessa05 [86]
3 years ago
10

Enter > , < , or = to compare the expressions. 45/4 ? 25 - 3

Mathematics
1 answer:
svp [43]3 years ago
7 0
45/4 = 11.25
25 - 3 = 22
11.25 < 22

so, 45/4 < 25 - 3 or 11.25 < 22
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HACTEHA [7]
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2 years ago
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Need help anyone who can help plz
olasank [31]

Answer:

A) x=40°

B) They have the same lengths.

Step-by-step explanation:

Since it is an isosceles triangle, both sides are the same. So if you add up all the angles of any triangle, it should always add up to 180°. There is a 50° angle and a right angle (90°) so you subtract 50 and 90 from 180 (180-50-90) and you get 40. X has to be 40° :)

6 0
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}

5 0
2 years ago
When A is divided by the sum of a certain number and 10, the result is the same as dividing 3 by the sum of that number and 4 .
tensa zangetsu [6.8K]

When A is divided: A /

By the sum of a certain number and 10: (n + 10)

When A is divided by the sum of a certain number and 10: A / (n + 10)

The result is the same as: =

Dividing 3: 3 /

By the sum of that number and 4: (n + 4)

The result is the same as dividing 3 by the sum of that number and 4: 3 / (n + 4).

Final Equation: A / (n + 10) = 3 / (n + 4)

To solve, we'll need to cross-multiply. Without knowing the value of A, however, the answer will not be a numerical value.

3(n + 10) = A(n + 4)

3n + 30 = An + 4A

30 - 4A = An - 3n

30 - 4A = n(A - 3)

n = (30 - 4A) / (A - 3)

If you know the value of A, then please plug it in to the value for n given above.

Hope this helps!

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1 year ago
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What is the following sign ??? and the rest of the question I'm sure I can help please provide more info
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