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I am Lyosha [343]
3 years ago
8

Help on geometry odds only

Mathematics
2 answers:
g100num [7]3 years ago
8 0
Answers in the attachments below.

uysha [10]3 years ago
7 0
Use:\\logb^c=c\cdot log b\\\\log(a\cdot b)=loga+logb\\\\==================================

5)\\log270=log(27\cdot10)=log27+log10=log3^3+1=3log3+1=\boxed{3u+1}\\\\or\\=log27+log10=log(3\cdot9)+1=log3+log9+1=\boxed{u+s+1}


6)\\log99=log(9\cdot11)=log9+log11=log3^2+t=2log3+t=\boxed{2u+1}\\or\\=log9+log11=\boxed{s+t}


7)\\log121=log11^2=2log11=\boxed{2t}


8)\\log363=log(121\cdot3)=log121+log3=log11^2+u=2log11+u=\boxed{2t+u}
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Answer: \lim_{n \to \infty} a_n \geq x^{2} \leq

Step-by-step explanation:

3 0
3 years ago
There are 450 seats in the lower level of a concert hall with b balcony seats in the upper level. So far, 170 tickets have been
slamgirl [31]

There are 400 balcony seats in the concert hall.

<u>Step-by-step explanation</u>:

Step 1 :

  • The number of lower seats = 450 seats

Total seats = Lower seats + balcony seats

Step 2 :

  • Tickets sold = 170 tickets
  • Total tickets = x

Tickets sold = 1/5 of total tickets.

⇒ 170 = (1/5)x

⇒ x = 5\times170

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Step 3 :

Total seats = 450 + balcony seats

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7 0
3 years ago
A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op
Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, \dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h

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By differentiating with respect to time t, we get that

\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}

Now,  the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie \dfrac{dv}{dt}=-4\ in^3

and h = 2 inches deep.

-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}

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7 0
3 years ago
7(x+2)=2x-1 solve for the variable
Len [333]

Answer:

x = - 3

Step-by-step explanation:

Given

7(x + 2) = 2x - 1 ← distribute parenthesis on left side

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5x + 14 = - 1 ( subtract 14 from both sides )

5x = - 15 ( divide both sides by 5 )

x = - 3

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3 years ago
A piece of pizza with a diameter of 20 inches is eaten and m
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Answer:

Step-by-step explanation:

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3 years ago
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