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Lesechka [4]
3 years ago
11

[geometry] i got 267.94 but how do i answer that in fraction?

Mathematics
1 answer:
Firlakuza [10]3 years ago
8 0
Well, first off, you see how all the answers say a fraction, then pi? that means that you don't calculate pi into your answer.
But lets see. The radius is 4. V=(4/3)pi*r^2
V=(4/3)pi*4^2
V=(4/3)pi*16
V=(4/3)*16*pi
V=(4/3)*(16/1)*pi
V=(4*16)/(3*1)*pi
V=64/3*pi
so the answer is (B) 64/3pi units cubed.
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A. Opens up with a vertex at (5,-4)

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A woman prospecting for successful business travels 16km from a point P to a point Q on a bearing of 065°. She then travels to p
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Find the 7th term in the sequence -10,-6,-2,2...
jeyben [28]

1st term = -10

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3 0
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Pleeeeeeeese help me I will mark you as brainliest
laiz [17]

\orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}}

FIND THE NUMBER THAT MAKE EQUIVALENT FRACTION.

\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}

\red{solved} \\  \frac{4}{ \cancel{5}}  =  \frac{x}{ \cancel{40}^{ \:  \:  \:  \tiny{8}}  }  \\ 8 \times 4 = x \\ 32 = x

\blue{Part  - 1} \\  \frac{4}{ \cancel{6}}  =  \frac{x}{ \cancel{24}^{ \:  \:  \:  \tiny{4}}  }  \\ 4\times 4 = x \\ 16 = x

\green{Part  - 2} \\  \frac{1}{ 2}  =  \frac{6}{ x  }  \\ 6 \times 2 = x \\ 12 = x

SOLVE LIKE THIS FOR ALL

PART - 3 --> 12

PART - 4--> 40

PART - 5 --> 6

PART - 6--> 4

PART - 7 --> 54

PART - 8 --> 12

PART - 9--> 36

PART - 10 --> 28

PART - 11--> 20

PART - 12 --> 28

PART - 13 --> 16

PART - 14 --> 20

PART - 15 --> 12

PART - 16 --> 6

PART - 17 --> 32

PART - 18--> 30

PART - 19 --> 27

PART - 20 --> 36

6 0
3 years ago
Find the solution of the given initial value problem:<br><br> y''- y = 0, y(0) = 2, y'(0) = -1/2
igor_vitrenko [27]

Answer:  The required solution of the given IVP is

y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.

Step-by-step explanation:  We are given to find the solution of the following initial value problem :

y^{\prime\prime}-y=0,~~~y(0)=2,~~y^\prime(0)=-\dfrac{1}{2}.

Let y=e^{mx} be an auxiliary solution of the given differential equation.

Then, we have

y^\prime=me^{mx},~~~~~y^{\prime\prime}=m^2e^{mx}.

Substituting these values in the given differential equation, we have

m^2e^{mx}-e^{mx}=0\\\\\Rightarrow (m^2-1)e^{mx}=0\\\\\Rightarrow m^2-1=0~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mx}\neq0]\\\\\Rightarrow m^2=1\\\\\Rightarrow m=\pm1.

So, the general solution of the given equation is

y(x)=Ae^x+Be^{-x}, where A and B are constants.

This gives, after differentiating with respect to x that

y^\prime(x)=Ae^x-Be^{-x}.

The given conditions implies that

y(0)=2\\\\\Rightarrow A+B=2~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

and

y^\prime(0)=-\dfrac{1}{2}\\\\\\\Rightarrow A-B=-\dfrac{1}{2}~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Adding equations (i) and (ii), we get

2A=2-\dfrac{1}{2}\\\\\\\Rightarrow 2A=\dfrac{3}{2}\\\\\\\Rightarrow A=\dfrac{3}{4}.

From equation (i), we get

\dfrac{3}{4}+B=2\\\\\\\Rightarrow B=2-\dfrac{3}{4}\\\\\\\Rightarrow B=\dfrac{5}{4}.

Substituting the values of A and B in the general solution, we get

y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.

Thus, the required solution of the given IVP is

y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.

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