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3 years ago

A right cylinder has a radius of r inches and height of 2r inches.

Mathematics

1 answer:

Bess [88]3 years ago

6 0

Answer:

the volume is $6.28r^{3}$ $in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder.

Given data

Volume v = ?

Radius r = r in

Height h= 2r in

We are expected to solve for the volume of a cylinder, given the above data we can substitute it in the formula for volume of a cylinder to obtain our result

we know that the expression for the volume of a cylinder is

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

$v= 3.142*r^{2} *2r\\v= 3.142*2r^{3} \\v= 6.28r^{3} in^{3} \\$

Hence the volume in terms of the radius is $6.28r^{3}in ^{3}$

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The Lees have 3 children. The oldest is twice as old as the youngest. The middle is 5 years older than the youngest. If the sum

valina [46]

Oldest = 2 times Youngest -> O = 2*Y
Middle = Youngest + 5 -> M = Y+5
All of them together is 57 -> O + M + Y = 57

So you have these three equations:
(1) O = 2*Y
(2) M = Y+5
(3) O + M + Y = 57

Now you want to reduce the number of variables. You can change the second equation to be Y = M-5 and then plug in "M-5" wherever there is currently a Y:

(4) O = 2*(M-5) = 2*M - 10
(5) O + M + (M-5) = 57
which becomes O + 2M = 62

Then you plug in the "O" equation (4) into (5) which gives you
(2M-10) + 2M = 62 which reduces to 4M = 72.

So now I know M is 18.
I can now plug that into my other equations:
(4) O = 2*18 - 10 which means O = 26.
Now I plug that into (1) from the top:
26 = 2*Y which becomes 13 = Y

So now I have O, Y, and M
Oldest is 26
Middle is 18
Youngest is 13

Reading the sentence again, you can see that this makes sense.

4 0

3 years ago

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A figure undergoes a rigid motion, such as a rotation. If the figure has line symmetry, does the image of the figure have line s

vesna_86 [32]

Answer:

The answer is yes most shapes do have line of symmetry for such task. The ones that don't would be irregular shapes or small changes to its handle on more obscure symmetrical shapes, ie) they do not fit in itself due to a handle being rotated before hand, so things that appear to be symmetrical can have a symmetrical line even if they do not fit in their selves at say anything under 360 rotation.

Step-by-step explanation:

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2 years ago

Pablo generates the function f (x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.

kondor19780726 [428]

Answer:

f(x + 1) = Five-halves f(x) (A)

Question:

The complete question as found in brainly( ID:13525864) is stated below.

Pablo generates the function f(x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.

Which is an equivalent representation?

f(x + 1) = Five-halvesf(x)

f(x) = Five-halvesf(x + 1)

f(x + 1) = Three-halvesf(x)

f(x) = Three-halvesf(x + 1)

Step-by-step explanation:

f(x) = (3/2)(5/2)^(x-1)

Where 3/2 = three-halves and 5/2 = (five-halves)

To determine an equivalent representation, let's assign values to x to see the outcome and compare it with the options.

f(x) = (3/2)(5/2)^(x-1)

For x = 1

f(x) = (3/2)(5/2)^(1-1) = (3/2)(5/2)^(0)

f(x) =(3/2)(1) = 3/2

For x = 2

f(x) = (3/2)(5/2)^(2-1) = (3/2)(5/2)^(1)

f(x) =(3/2)(5/2)

So from the above assigned values

f(x=1) = 3/2

f(x=2) = f(x + 1) = f(1 + 1)

f(x + 1) = (3/2)(5/2)

Since f(x) = 3/2

f(x+1) = (3/2)(5/2) = f(x) × 5/2 = 5/2f(x)

From the options, an equivalent representation: f(x + 1) = Five-halves f(x)

(A)

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2 years ago

Show you work in sketch.<br><br> 5(3 - x)

Marina86 [1]

Answer:

sketched it out for ya

Step-by-step explanation:

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2 years ago

What is 25% of 192% just to know

Rufina [12.5K]

0.48 because 0.25*1.92=0.48

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3 years ago

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