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olya-2409 [2.1K]
3 years ago
12

Maya has 8 and 1/10 of cake. She gives 2 and 9/10 of the cake to her friend Alyssa. How much cake does Maya have left.

Mathematics
1 answer:
Sever21 [200]3 years ago
5 0
5 and 1/5 of cake because the difference of 8 and 1/10 and 2 and 9/10 is 5 and 2/10 or 5 and 1/5
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Find dy/dx given that y = sin x / 1 + cos x​
kobusy [5.1K]

Answer:

\frac{1}{1 +  \cos(x) }

Step-by-step explanation:

y =  \frac{ \sin(x) }{1 +  \cos(x) }

<u>differentiating numerator wrt x :-</u>

(sinx)' = cos x

<u>differentiating denominator wrt x :- </u>

(1 + cos x)' = (cosx)' = - sinx

  • Let's say the denominator was "v" and the numerator was "u"

(\frac{u}{v}  )'  =  \frac{v. \: (u)'  - u.(v)' }{ {v}^{2} }

here,

  • since u is the numerator u= sinx and u = cos x
  • v(denominator) = 1 + cos x; v' = - sinx

=  \frac{((1 +  \cos \: x) \cos \: x )- (\sin \: x. ( -  \sin \: x)  ) }{( {1 +  \cos(x)) }^{2} }

=  \frac{ \cos(x)  +  \cos {}^{2} (x)  +   \sin {}^{2} (x) }{(1 +  \cos \: x) {}^{2}  }

since cos²x + sin²x = 1

=  \frac{ \cos \: x + 1}{(1 +  \cos \: x) {}^{2}  }

diving numerator and denominator by 1 + cos x

=  \frac{1}{1 +  \cos(x) }

6 0
3 years ago
Help me with this pleaseeeee
creativ13 [48]
3 GBs per month because you have to take 30-21 (the monthly cost of the phone)=9 and each GB is $3 a month so 9 divided by 3= 3
3 0
3 years ago
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Please help me I will give thanks and points!
makkiz [27]
1.31, 1.4, and 1.44.

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6 0
3 years ago
Mirror the speed of 16.8 m/s Olympian ran the 100 m dash in 9.6 seconds how much faster was Sarah the cheetah speed to the neare
Fiesta28 [93]

Answer:

6.4 meters per second

Step-by-step explanation:

Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?

0.9 meters per second

1.6 meters per second

6.4 meters per second

10.4 meters per second

Speed = distance / time

Olympian's speed = 100 / 9.6 = 10.4 meters per second

Sarah's speed = 16.8 meters per second.

Difference in speed = 16.8 - 10.4 = 6.4

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

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3 years ago
Which whole number is closest to the value of square root of 54?
Blababa [14]
The answer for this problem is 7
3 0
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