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Alchen [17]
2 years ago
9

Find the perimeter and the area of the regular polygon

Mathematics
1 answer:
Andreas93 [3]2 years ago
5 0

The perimeter of the hexagon is 180 ft.

The area of the hexagon is 2338.3 ft

<h3>How to find area and perimeter of a polygon?</h3>

The perimeter of the polygon can be found as follows:

The polygon is a regular hexagon.

Therefore,

perimeter of the hexagon = 30 × 6 = 180 ft

Area of the hexagon = 3√3 / 2 × s²

where

  • s = side length

Therefore,

Area of the hexagon = 3√3 / 2 × 30²

Area of the hexagon =  3√3 / 2 × 900

Area of the hexagon = 450 × 3√3

Area of the hexagon = 2338.26859022

Area of the hexagon = 2338.3 ft

learn more on polygon here: brainly.com/question/4014163

#SPJ1

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Quick brain for first and 5 stars What steps should be taken to calculate the volume of the right triangular prism? Select three
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Answer:

- Use the formula A = one-half b h to find the area of the base.

- The area of the base, A, is One-half (8) (14) = 56 meters squared.

- The volume of the prism, V is (56) (7) = 392 meters cubed

Step-by-step explanation:

To find the volume of right triangular prism, the following steps should be followed:

The formula bfor calculating the volume = Base Area × Height.

Step 1:

- Use the formula A = one-half b h to find the area of the base.

This formula of a triangle bus used because the base of a triangular prism is triangular in nature.

b is the base of the triangle

h is the height of the triangle

Step 2:

Given base if triangle = 8m

Height of triangle = 14m

We substitute this values into the formula of the base area to have the second step:

Base area = 1/2(8)(14) = 56m²

- The area of the base, A, is One-half (8) (14) = 56 meters squared.

Step 3:

Then we calculate the volume if the prism where height of the prism is 8m

volume of the prism = 56 × 7

= 392m³.

This gives us the final step

- The volume of the prism, V is (56) (7) = 392 meters cubed

8 0
4 years ago
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A 2-column table with 6 rows. Column 1 is labeled Number of Items Made with entries 1,125, blank, blank, blank, blank, blank. Co
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Answer:

4,500 items are made every 4 hours.

5,625 items are made every 5 hours.

Step-by-step explanation:

when you multiply 1125 by for it will equal 4500 and when you multiply 1125 by 5 it will equal 5625

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Answer:

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A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On averag
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The clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

The clock was still accurate by Friday noon. The clock was late by 468 seconds by Monday, 6 pm.

To solve the problem, we must:

Know how many 30-minutes have passed during the time period.

1 day = 24 hours

1 hour = 60 minutes = 2 × (30 minutes)

1 day = 24 hours × 2 × (30 minutes)

1 day = 48 × (30 minutes)

Thus, there are 48, 30-minutes in a day. On Friday, however, we start counting at noon, which is half of the day. Moreover, on Monday, the mark is only up to 6 pm, which is three-fourths of the day.

Friday = 48 × \frac{1}{2} = 24

Saturday = 48

Sunday = 48

Monday = 48 × \frac{3}{4} = 36

TOTAL = 24 + 48 + 48 + 36 = 156

Therefore, the total number of 30-minutes that have passed is 156. There were 156, 30-minutes that passed during the time period.

Divide the number of total seconds late by the number of 30-minutes passed.

That is, the number of total seconds late= 468 seconds ÷ 156

= 3 seconds  

Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

To learn more about clock problems visit:

brainly.com/question/27122093.

#SPJ1

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