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aleksklad [387]
2 years ago
11

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:
Dominik [7]2 years ago
6 0

The amount of the paint that Ellis needs to paint all the surfaces of the 12 fenceposts will be 226.08 square feet.

<h3>What is a cylinder?</h3>

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. There are 12 fenceposts in all.

The amount of the paint that Ellis needs to paint all the surfaces of the 12 fenceposts will be

The area of the one fence post will be

Area = πdh

Area = 3.14 x 1 x 6

Area = 18.84 square feet

Then the paint for 12 fence posts will be

Total area = 12 x 18.84

Total area = 226.08 square feet

More about the cylinder link is given below.

brainly.com/question/3692256

#SPJ1

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How many solutions does 6 - 3x = 4 - x - 3 - 2x have?
White raven [17]

Answer:

No Solution

Step-by-step explanation:

6 - 3x = 4 - x - 3 - 2x  (Given)

6 - 3x = -1 -3x (combine like terms)

7 (addition)

The x cancels each other out so no solution.

7 0
3 years ago
Two sides of a triangle measure 10 inches and 13 inches. The included angle between these sides is 55°. What is the approximate
PolarNik [594]
The answer should B 11.2 inches
4 0
3 years ago
If P(AnB)=2/3 and P(B)=3/4, what is P(A I B)? A.35/36 B.15/16 C.24/25 D.8/9
astraxan [27]

Answer:

\large\boxed{D.\ \dfrac{8}{9}}

Step-by-step explanation:

\text{We know:}\\\\P(A|B)=\dfrac{P(A\ \cap\ B)}{P(B)}\\\\\text{We have:}\\\\P(A\ \cap\ B)=\dfrac{2}{3},\ P(B)=\dfrac{3}{4}.\\\\\text{Substitute:}\\\\P(A|B)=\dfrac{\frac{2}{3}}{\frac{3}{4}}=\dfrac{2}{3}:\dfrac{3}{4}=\dfrac{2}{3}\cdot\dfrac{4}{3}=\dfrac{8}{9}

6 0
3 years ago
Let x be a positive integer. If (-3)ºx (-3)* = (-3)14,<br> what is x?
Nezavi [6.7K]

Answer:

-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}

Decimal Form:

x = -267.38030...

Step-by-step explanation:

-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14

Remove Parentheses: (-a) = -a

-3^{\circ \:}x\left(-3\right)=-3\cdot \:14

Multiply the numbers: 3 * 14  = 42

-3^{\circ \:}x\left(-3\right)=-42

Divide both sides by: -3^{\circ \:}\left(-3\right)

\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}

Simplify:

x=-\frac{840}{180^{\circ \:}}

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

3 0
3 years ago
TANGENT LINES FIND PERIMETER
Harlamova29_29 [7]
There is a theorem that says that, two tangent lines onto a circle that start from the same point are equal. For example, if we were to label the polygon ABCD, the tangent lines going from point A are equal, the lines going from point B are equal, etc.

Since we now know this rule, we can see that, for each point of the polygon you are given 1 out of 2 tangent lines for that point. Using this theorem, we can say that the other tangent line is equal to the first.

So, the bottom two tangents are 98 and 98, the right-side are both 22 and 22, the top are both 27 and 27, and the left are 22 and 22. We need to find the perimeter, or the sum of all the sides of the polygon. Seeing as the sides of the polygon are formed by all the tangent lines, we just have to find the sum of all the tangent lines.

98 + 98 + 22 + 22 + 27 + 27 + 22 + 22 =
= 196 + 88 + 54 (or 2*98 + 4*22 + 2+27) =
= 338 inches

I hope this wasnt too confusing.
8 0
3 years ago
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