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Nat2105 [25]
3 years ago
5

A cylinder has a height of 4 meters and a diameter that is 12 meters. Using 3.14 for pi, which of the following can be used to c

alculate the volume of the cylinder?
Group of answer choices
Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

Step-by-step explanation:

h = 4 m

d =  12 m

r = 12/2 = 6 m

Volume of cylinder = πr²h

                               = 3.14 * 6 * 6 * 4

                               = 452.16 m³

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Y^2 x^3-7x = ysin(x+y)
d1i1m1o1n [39]

Answer: -54

Step-by-step explanation: 53 + 1 = 54

3 0
2 years ago
Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.
cestrela7 [59]

Answer:

Tamara  incorrectly factored the whole expression.

Step-by-step explanation:

Note that

  • 21x=3·7·x;
  • 56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.

6 0
3 years ago
Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o
tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

7 0
3 years ago
Margret is inviting 3 friends to a party. If each friend will get 8 cookies and each box has 6 cookies, how many boxes does Marg
Alisiya [41]

Answer:

Margret need to get 4 boxes of cookies.

Step-by-step explanation:

Total friends = 3

Cookies each friend will get = 8

Each box has cookies = 6 cookies

How many boxes does Margret need to get?

Total cookies will be= Total friends x Cookies each friend will get

Total cookies will be= 3 x 8 = 24

If one box has 6 cookies and we need total 24 cookies so, divide 24 by 6 to get number of boxes

Number of boxes = Total cookies/ number of cookies in one box

Number of boxes = 24/6

Number of boxes  = 4

So, Margret need to get 4 boxes of cookies.

3 0
2 years ago
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