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Firdavs [7]
3 years ago
5

Use the number 913,256. Write the name of the period that has the digits 913.

Mathematics
1 answer:
gogolik [260]3 years ago
6 0
9 hundred 13 thirteen thousand
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Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )
Zina [86]

Answer:

\purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

Step-by-step explanation:

\cos( \alpha ) =  \frac{ \sqrt{6} }{6}  =  \frac{1}{ \sqrt{6} }  \\  \\  \therefore \:  \sin( \alpha )  =  \sqrt{1 -  { \cos}^{2} ( \alpha ) }  \\  \\  =  \sqrt{1 -  \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} }  \\  \\ =  \sqrt{1 -  {\frac{1}{ {6} }}}  \\  \\ =  \sqrt{ {\frac{6 - 1}{ {6} }}}   \\  \\  \red{\sin( \alpha ) =  \sqrt{ { \frac{5}{ {6} }}} } \\  \\  \tan( \alpha ) =  \frac{\sin( \alpha ) }{\cos( \alpha ) }  =  \sqrt{5}  \\  \\ \sin( \beta )  =  \frac{ \sqrt{2} }{4}  \\  \\  \implies \: \cos( \beta )  =   \sqrt{ \frac{7}{8} }  \\  \\ \tan( \beta )  =  \frac{\sin( \beta ) }{\cos( \beta ) } =  \frac{1}{ \sqrt{7} }   \\  \\  \tan( \alpha  -  \beta ) =  \frac{ \tan \alpha  -  \tan \beta }{1 +  \tan \alpha .  \tan \beta}  \\  \\  =  \frac{ \sqrt{5} -  \frac{1}{ \sqrt{7} }  }{1 +  \sqrt{5} . \frac{1}{ \sqrt{7} } }  \\  \\  =  \frac{ \sqrt{35} - 1 }{ \sqrt{7}  +  \sqrt{5} }  \\  \\  \purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

8 0
3 years ago
Someone please help me asap i am confused
trapecia [35]
1.) 2000 2.) 680000 3.) .0000007 4.) .00135 5.) 3062000 6.) 7x10^5 7.) 3.2x10^7 8.)4.5x10^-2 9.)3.46781x10^-5 10.) 1.3x10^18
6 0
2 years ago
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-7 &lt; 3x + 2 &lt; 5.<br> Solve for x
yarga [219]

Answer:

-3 < x < 1, This is the domain

5 0
3 years ago
Suppose a city with population 900,000 has been growing at a rate of 4% per year. If this rate continues, find the population of
Juli2301 [7.4K]

Answer: 2,306,973.7 rounded... 2,306,974

900,000(1+.04)^24

8 0
3 years ago
Directions: Evaluate the solution 6) g(x) =- 2x + 5; Find g(-5) 6) in function notation?<br><br>​
harina [27]

Answer:

  g(-5) = 15

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  g(-5) = -2(-5) +5 = 10 +5

  g(-5) = 15

5 0
3 years ago
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