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Ierofanga [76]
3 years ago
7

aiden evaluate the expression pie(16)(12) to find the volume of a cylinder. what could be dimensions of the cylinder?

Mathematics
2 answers:
faust18 [17]3 years ago
7 0

The height is 12 cm, and the diameter of the base is 8 cm. Hope this helps!

hodyreva [135]3 years ago
3 0

Answer with explanation:

Volume of Cylinder = π×R²×H, where , R is the radius of cylinder , and H is the height of cylinder.

It is given that, Volume of cylinder = π×(16)×(12)

→ π×R²×H=π×(16)×(12)

Equating ,L.H.S and R.H.S,and cancelling term, π from both sides

→R²×H=(16)×(12)

→R²×H=(4²)×(12)

Here,→R²=4², and , H=12

R= 4 unit, and H=12 unit

Radius = 4 unit

Height = 12 unit

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Justin is 2years older than one third Marcellas age. Aimee is four years younger than 2 times Justin's age. Define a variable an
irakobra [83]

Answer:

Justin is 23 years old, and Aimee is 42 years old.

Step-by-step explanation:

Let Marcella's age be represented by x, and Justin's age by t.

Given that Justin is 2 years older than one third Marcella's age.

t = \frac{1}{3} x + 2

t = \frac{x}{3} + 2 ........... 1

Also, Aimee is four years younger than 2 times Justin's age.

Aimee = 2 x t - 4

Aimee = 2t - 4 .......... 2

But, Marcella's age is 63 years, so that from equation 1;

Justin's age =  \frac{x}{3} + 2

                    = \frac{63}{3} + 2

                    = 21 + 2

                    = 23

Justin is 23 years.

From equation 2,

Aimee = 2 x 23 - 4

           = 46 - 4

           = 42

Aimee is 42 years.

Therefore,

Marcella is 63 years old, Justin is 23 years old, and Aimee is 42 years old.

5 0
2 years ago
Estimate the maximum error made in approximating e^x by the polynomial 1 + x + {1}/{2}x^2 over the interval x of [-0.4,0.4].
kolezko [41]
E^x = 1 + x + x² / 2 + x³/ 3! + x^4 / 4! + .....
       = (1 + x + x²/2 ) + x³   [ 1/6 + x /4! + x² / 5! + ....  ]
 Error =  e^x - (1+ x + x² )   =  x³ [  1/6 + x /4! + x² / 5! + ....  ]
          x / 4!  < x / 6            x² / 5!   <  x² / 6  and so on
         So if we replace all factorials by 1/6 ..
     error  <  x² [ 1/6 + x/6 + x²/6 + ... ]
             <  x² / 6    [ 1 + x + x² ..... ]
             < x² / 6    * 1 / (1 -x)    = x² / 6 (1-x)        if   x < 1
 maximum error  =  x² /6(1-x)  occurs at 0.4 or -0.4 in the given interval.
             =  0.0444444


7 0
3 years ago
Line r is parallel to line t. Find the measurement of Angle 6. The diagram is not to scale.
zavuch27 [327]

m <3 + 138 =190
so m<3 = 180 -138 = 42
r ans t are parallel so m<3 = m<6 then m<6 = 42

answer <span>C.42</span>
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Answer:

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Step-by-step explanation:

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