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Butoxors [25]
3 years ago
15

The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.

How many square feet of paint are needed to completely cover each pillar? (Do not include the bases.) A. about 100.5 ft2 B. about 1206 ft2 C. about 1608 ft2 D. about 3 ft2
Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

  • <u>Option A. about 100.5ft²</u>

<u />

Explanation:

Since the <em>bases</em> must not be painted, their areas are <em>not included</em> in the calculation.

The <em>surface</em> to paint, of each pillar, is equal to the lateral area of a<em> cylinder </em>with he dimensions given.

The formula for the laeral area of a cylinder is:

        Lateral\text{ }area=2\pi \times radius \times height

Substitute including the conversion factor to convert inches to feet:

        Lateral\text{ }area=2\pi \times 8in\times 1ft/12in \times 24ft=100.5ft^2

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melomori [17]

Step-by-step explanation:

Here you solve for length width and height, which multiplied equal volume. The only constant you have is that the width of the prism is 1/3 of its length.

WIDTH: 3 centimeters

LENGTH: Since the width is 1/3 of the length, 3 is 1/3 of something. So divide 3 by 1/3 to get 9. You can also just multiply 3 by 3.

HEIGHT: The height is half of the width, which is 3. Therefore 3 divided by 2 is 1.5.

Now multiply the values. 3 multiplied by 9 multiplied by 1.5

The answer is 40.5

CENTIMETERS!!!

DO NOT FORGET THE UNIT

3 0
3 years ago
Read 2 more answers
Charlie invests £1200 at 3.5% per annum compound interest.
lbvjy [14]

Answer:

<h2>£1,330.46</h2>

Step-by-step explanation:

Using the compound interest formula A = P(1+\frac{r}{n} )^{nt}

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46

Value of Charlie's investment after 3 years is £1,330.46

6 0
3 years ago
Show that 3650 is not a perfect square.​
KatRina [158]

Answer:

A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square. Obtain the digital root of the number. The digital root essentially is the sum of all of the digits.

Step-by-step explanation:

hope this helps you super sorry if it does not

4 0
2 years ago
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Theoretically, if a month is chosen 300 times,
horsena [70]

Answer:

75 times.

Step-by-step explanation:

Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because \frac{3}{12}=\frac{1}{4}, which is 25%. 25% of 300 (or \frac{300}{4}, for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.

Hope this helps!

<em>P.S: </em><u><em>Please mark me as brainliest!</em></u>

6 0
3 years ago
Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are
wlad13 [49]

Answer:

E(29/4,3)

Step-by-step explanation:

Given that,

Segment CD has point E located on it such that CE:ED = 3:5

The coordinates of C and D are (5, -6) and (11,18) respectively.

We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :

(x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3

So, the coordinates of E are (29/4,3).

4 0
3 years ago
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