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DaniilM
1 month ago
14

need right now, will mark brainlyest and 100 points! Ellis is painting wooden fenceposts before putting them in his yard. They a

re each 6 feet tall and have a diameter of 1 foot. There 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:
PIT_PIT [12.4K]1 month ago
5 0

Answer:

172.7 sqft (square feet)

Step-by-step explanation:

SA = 2(pi)(r)(h) + 2(pi)r^2

Insert the radius and height to derive SA, then multiply by 10 for the total number of fenceposts.

SA= 2(3.14)(.5)(6)

Calculate

SA=14.39166

Then multiply by 12

The result is 172.7 sqft

Hope this helps!

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Miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. The prices at the bookstore are b
babunello [11817]

Answer:

$10

Step-by-step explanation:

Each hardcover book costs $12, resulting in a total of $60 for five of them out of $100. The remaining four paperbacks at $10 each amount to a total of $40.

I hope this was helpful!!!:)

6 0
1 month ago
Angelica is working with function machines. She has the two machines at shown at the right. She wants to put them in order so th
Leona [12618]
To achieve the desired output, first use the machine with the function y = x^2 - 6, followed by the machine that computes y = sqrt(x-5). This way, when you input 6, the output from the first machine is calculated as x = 6, yielding y = 6^2 - 6, resulting in 30 as the input for the second machine. The second machine then processes this to provide the final output of sqrt(30 - 5), which equals sqrt(25) = 5. Alternatively, to obtain a negative final output, you should first utilize the machine with the function y = sqrt(x-5). Assuming you start with the value x = 9, the first machine computes this to sqrt(9-5), which is sqrt(4) = 2. Then, the second machine converts y to 2^2 - 6, leading to a result of 4 - 6 = -2.
3 0
1 month ago
In triangle JKL, sin(b°) = three fifths and cos(b°) = four fifths. If triangle JKL is dilated by a scale factor of 2, what is ta
Inessa [12570]

Answer:

Tan(b°) = 3/4, which is equivalent to three fourths (C).

Step-by-step explanation:

Triangle JKL is a right triangle with angle K being the right angle and angle L equal to b°.

We will employ SOHCAHTOA principles from trigonometry to calculate the sides' values.

For triangle ∆JKL:

Sin(b°) = opposite/hypotenuse

Sin(b°) = 3/5

Cos(b°) = adjacent/hypotenuse

Cos(b°) = 4/5

Tan(b°) = 3/4.

From the earlier information, we have the values for each side of triangle ∆JKL.

Please refer to the attached diagram for the triangle (1).

Triangle ∆JKL is scaled with a factor of 2.

This implies multiplying each side of ∆JKL by 2, resulting in:

Opposite side = 2(3) = 6

Adjacent side = 2(4) = 8

Hypotenuse = 2(5) = 10.

To find tan(b°) for the new triangle, we use the tangent ratio:

Tan(b°) = opposite/adjacent.

Tan(b°) = 6/8.

Tan(b°) = 3/4.

Find the diagram for the new triangle included (2).

Diagram 3 provides a depiction of both triangles.

As shown, the angle remains unchanged when a triangle is scaled by a factor.

Thus, we conclude that tan(b°) = three fourths (C).

6 0
1 month ago
Which of the following represents the most accurate estimation of 388 - 212?
Zina [12379]
The correct response is 176
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Which table represents a linear function? A, B, C, D
tester [12383]

Answer:

Table B demonstrates a linear function.

Step-by-step explanation:

The reason Table B is classified as a linear function is that for each increment of one in x, y increases by a consistent rate of 4.

5 0
2 months ago
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