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3 years ago

The radius of a cylindrical construction pipe is 2.5 ft. If the pipe is 28 ft long, what is its volume?

Mathematics

2 answers:

atroni [7]3 years ago

8 0

Answer:

V = 549.5 ft³

Step-by-step explanation:

The formula for the volume, V, of a cylinder of radius r and length h is

V = πr²h.

Substituting 2.5 ft for r and 28 ft for h, we get the volume

V = 3.14(2.5 ft)²(28 ft), or

V = 549.5 ft³

Margarita [4]3 years ago

7 0

Answer:

V = 550 ft^3

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

We know the radius is 2.5 and the height is 28

V = 3.14 * (2.5)^2 * 28

V =549.5 ft^3

Rounding to the nearest whole number

V = 550 ft^3

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Thomas deposited $800 into two different accounts.

Mazyrski [523]

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2 years ago

Karen will divide her garden into equal parts. She will plant corn in 8/12 of the garden. What is the lowest number of parts she

Ronch [10]

Answer:

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Step-by-step explanation:

8/12 = 2/3

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3 years ago

State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli

nasty-shy [4]

Answer:

Part A

$f(n)=52-12(n-1)$

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$ Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right$

Part D:

$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

Explicit Formula

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

Recursive Formula

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

$(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\$

Arithmetic Sequence, difference

$d=\frac{2}{4}$

Explicit Formula:

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)$

Recursive Formula

$g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.$

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

Explicit formula

$h(n)=1.1+0.4(n-1)\\$

Recursive Formula

$h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.$

6 0

3 years ago

Penelope made note of all the bicycles and cars she could see parked or locked on acertain city block. All the cars had exactly

lesantik [10]

Given:

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The obective is to find the total number of wheels.

The total number of wheels is,

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Hence, there are 74 wheels in the block.

If there are x bicycles and y cars, the equatioin will be,

$\begin{gathered} T=n(sw)\cdot x+n(ce)\cdot15 \\ T=2x+4x \end{gathered}$

Hence, the number of wheels for x bicycles and y cars is 2x+4x.

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1 year ago

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ELEN [110]

Answer: 13.85kg Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

Let's add! 7 1/4 + 6 3/5 = 7.25 + 6.6

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13.85

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1 year ago

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