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AfilCa [17]
2 years ago
11

Ellis is painting wooden fenceposts before putti by then in his yard. They are each 5 feet tall and have a diameter of 1 foot. T

here are 10 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 10 fenceposts? Use 3.14 for pie, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit.
Mathematics
1 answer:
lawyer [7]2 years ago
3 0

Answer:

39.25

Step-by-step explanation:

diameter. is 1 therefore radius is 1/2

formula is πr²h

where

h is height=5

=3.14x½²x5

=3.925 for one paint

therefore for 10 paints, we have

=3.925x10

=39.25

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2 years ago
Benjamin is trying to find the height of a radio antenna on the roof of a local building.
xz_007 [3.2K]

The height of the antenna on the roof of the local building is approximately 8 meters.

The situation forms a right angle triangle.

<h3>Properties of a right angle triangle:</h3>
  • One of its angles is equals to 90 degrees
  • The sides of the triangles can be calculated using Pythagoras theorem.

Therefore, let's find the height of the building and the radio antenna from the eye point.

Using trigonometric ratios,

tan 40° = opposite / adjacent

tan 40° = x / 25

where

x = the height of the building and the radio antenna from the eye point.

x = 25 tan 40

x = 25 × 0.83909963117

x = 20.9774907794 meters

Let's find the height of the building from his eye point.

tan 28° = y / 25

where

y = height of the building from his eye point

y = 25 × tan 28°

y = 25 × 0.53170943166

y = 13.2927357915 meters

Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786

Height of the antenna ≈ 8 meters

learn more on elevation here: brainly.com/question/17582385?referrer=searchResults

8 0
2 years ago
Six identical circles fit inside the rectangle as shown below. If the rectangle has a width of 15
irakobra [83]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Solve the following system of equations algebraically.<br> x + 2y = 18<br> y = x-3<br> X=<br> y =
ivolga24 [154]

Answer:

x + 2y - 18 =0

y = x - 3 is x = 3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Look at the sample below 2x-8=12
guajiro [1.7K]

Answer:

x = 10

Step-by-step explanation:

Make x the subject

2x - 8 = 12

2x = 12 + 8

2x = 20

x = 20/2

x = 10

!!

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3 years ago
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