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Verizon [17]
3 years ago
10

Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. Th

ere are 12 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 12 fenceposts? Use 3.14 for π, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit.
Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0

Answer:

244.92 ft^2

Step-by-step explanation:

Find out the surface area of 1 fence post.

It has 2 circular parts (a bottom and a top)

r = d / 2

r = 1 / 2

r = 0.5 feet.

Area = 3.14 * 0.5^2

area = 3.14 * 0.25

Area = 0.785

Each post has 2 such shapes. 2 * 0.785 = 1.57

There are 12 posts with areas of 1.57 on the bottom and top  = 18.84 ft^2

Find the area of the long part of the post

h = 6 feet

circumference = 2* pi * r

circumference = 2* 3.14 * .5

circumference = 3.14

The height is 6 feet.

The area of the body of the pole 6 *circumference = 6 * 3.14 = 18.84 ft^2

There are 12 poles.

Total area = 12 *18.84 ft^2 =  226.08

Total area = 12 bodies + 24 ends

Total area = 226.08 + 18.84

Total area = 244.92

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Angelina wins money in a competition. She is given the choice as to how she is paid.
NISA [10]

Answer:

  • Choice 1
  • 20 days

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

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<h3>a)</h3>

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

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<h3>c)</h3>

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

  Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

  Sn ≥ 1,000,000

  1 × (2^n -1)/(2 -1) ≥ 1,000,000

  2^n ≥ 1,000,001 . . . . add 1

  n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

  n ≥ 19.93

The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.

8 0
2 years ago
How many times will the string literal "Hi" appear in the lblMsg control? Dim intCount As Integer Do While intCount &gt; 4 lblMs
4vir4ik [10]

Answer:

0

Step-by-step explanation:

In my opinion, the string won't display because, the intCount was not initialized before you started outputting the "Hi" string. So in order fro you to get the string to appear, the control point or value has to be initialized to maybe 0. then you can start looping from there. And if you are looping from the top or using greater than (>), The loop works best buy subtracting the control value else, you can end up with infinity loop.

6 0
3 years ago
Ronald and Tim did their laundry today. Ronald does laundry every 6 days and Tom does laundry every 9 days. How many days will i
Luden [163]
Least common multiple question

Ronald: count by 6's
 6, 12, 18, 24, 30, 36, 42, 48, 54 ....

Tim: count by 9's
9, 18, 27, 36, 45, 54,

every 18 days they do their laundry together
7 0
3 years ago
NEED HELP THIS IS SOOOOOO HARD NEED PROOF <br> WILL GIVE BRAINLIEST AND 5-STAR
Shkiper50 [21]

Answer:

J    1

   --------

    x^2 -x

Step-by-step explanation:

x+1

----------

x^3-x

Factor out an x in the denominator

x+1

----------

x(x^2-1)

We can factor the terms in the parentheses because it is a difference of squares

x+1

----------

x(x-1) (x+1)

Canceling the x+1 terms

1

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x(x-1)

Distribute in the denominator

1

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x^2 -x

7 0
2 years ago
What is 36j + j<br><br> please help and explain if you can!!! :)
Norma-Jean [14]
36j + j = 37j

Explanation.
You could translate this sum into a normal sebtence: I have 36 apples and add 1 apple more.

The sum will then be 36 apples + apple = 37 apples.
Replacing the word (in this explanation 'apple') by a letter learns us 36a + a = 37a

Hence 36j + j = 37j
8 0
3 years ago
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