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Montano1993 [528]
3 years ago
10

A cylinder has a height of 1.2 cm and the following base.

Mathematics
2 answers:
netineya [11]3 years ago
7 0

Answer:

94.2 cubic mm

Step-by-step explanation:

The volume for a cylinder is

V=\pi r^2h

We can use 3.1415 for pi,

r = 5

h = 1.2

Filling in then:

V=3.1415(5^2)(1.2)

and

V=3.1415(25)(1.2) so

V=94.2mm^3

Just multiply all those numbers together.

Alex Ar [27]3 years ago
5 0

Answer:

V=942\ mm^{3}

Step-by-step explanation:

Hello

I think I can help you with this

the Volume of a cylinder is given by:

V=\pi *radius^{2} *h

in these exercises be careful with the units of measure, they must be the same units of length in this case mm

Step 1

convert 1.2 cm into mm

using a rule of three

1 cm ⇔ 10 mm

1.2 cm ⇔x mm?

\frac{1\ cm}{10\ mm}=\frac{1.2 cm}{x}\\solve\ for\ x\\\\\frac{x*1\ cm}{10\ mm}=1.2 cm\\x=\frac{1.2\ cm*10\ mm}{1\ cm} \\x=12\ mm\\

so, height is 12 mm

Step 2

put the values into the equation

Let

radius= 5 mm

height= 12 mm

V=\pi *radius^{2} *h\\V=\pi *(5\ mm)^{2} *12\ mm\\V=\pi*300\ mm^{3}\\V=942.47\ mm^{3}

Have a nice day

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How to solve this trigonometric equation cos3x + sin5x = 0
mrs_skeptik [129]

Answer:

  x = {nπ -π/4, (4nπ -π)/16}

Step-by-step explanation:

It can be helpful to make use of the identities for angle sums and differences to rewrite the sum:

  cos(3x) +sin(5x) = cos(4x -x) +sin(4x +x)

  = cos(4x)cos(x) +sin(4x)sin(x) +sin(4x)cos(x) +cos(4x)sin(x)

  = sin(x)(sin(4x) +cos(4x)) +cos(x)(sin(4x) +cos(4x))

  = (sin(x) +cos(x))·(sin(4x) +cos(4x))

Each of the sums in this product is of the same form, so each can be simplified using the identity ...

  sin(x) +cos(x) = √2·sin(x +π/4)

Then the given equation can be rewritten as ...

  cos(3x) +sin(5x) = 0

  2·sin(x +π/4)·sin(4x +π/4) = 0

Of course sin(x) = 0 for x = n·π, so these factors are zero when ...

  sin(x +π/4) = 0   ⇒   x = nπ -π/4

  sin(4x +π/4) = 0   ⇒   x = (nπ -π/4)/4 = (4nπ -π)/16

The solutions are ...

  x ∈ {(n-1)π/4, (4n-1)π/16} . . . . . for any integer n

5 0
2 years ago
Write an equation to represent the following: Three consecutive integers add up to 11 more than the smallest.
mr Goodwill [35]

Answer:


Step-by-step explanation:

First we have to assume the smallest integer.

Let,

the smallest integer is  x

So, the other two integers are-

x+1  and   x+2

Now,  

the sum of these 3 integers is greater than smallest integer by  11

So, we get

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This is the required equation.

5 0
3 years ago
Please answer and show how you did it!
Anna35 [415]
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the line of symmetry is x=-b/2a
in this case, b=-2, a=-1, so the line of symmetry is x=-1
when x=-1, f(x)=-(-1)²-2(-1)-3=-2  
locate the point (-1,-2) on the grid. this point is the vertex.
get two pairs of points with x=-1 as the symmetry line:
(0, -3) and (-2, -3); (1,-6) and (-3,-6) 
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3 0
2 years ago
The volume of a cylinder can is 1.54 litre and area of base is 77cm^2 Find its height​
goblinko [34]

Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

v = 1.54 \: l

v = 1540 \:  {cm}^{3}

v = \pi \times  {r}^{2}  \times h

Let πr² be 77,

Let v be 1540,

1540 = 77 \times h

77h = 1540

h = 1540  \div 77

h = 20 \: cm

5 0
3 years ago
What is the mode for 46 47 52 55 64 69 70 78
ziro4ka [17]

Answer:

No mode.

Step-by-step explanation:

No mode.

None of the numbers repeat and since the mode is the most frequent number there isn't one.

8 0
3 years ago
Read 2 more answers
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