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Masja [62]
3 years ago
7

Consider this figure of a hexagon.

Mathematics
2 answers:
notsponge [240]3 years ago
6 0
A)
It looks like the [irregular] hexagon has 3 rectangles and 2 triangles within it.
So let's exclude the triangular corners on bottom left and top right for now.
First we have a large rectangle covering most of the upper left of the polygon. 20 ft × 7 ft = 140 sq.ft.
Now we have a rectangle on the bottom right. The width is 11 ft, so take the 7 away from that, 4 ft. × 14 ft. on bottom. 4 ft × 14 ft = 56 sq.ft.
The last small rectangle fits on the right between the 2 other rectangles. It is 24-20 on top/bottom × 7-6 right/left. 4 ft × 1 ft = 4 sq.ft.
Now for the triangles: bottom left is 11-7 × 24-14 = 4 ft × 10 ft. 1/2bh = 1/2×10×4 = 20 sq.ft.
Top right is 24-20 × 11-5 = 4 ft × 6 ft. 1/2bh = 1/2×4×6 = 12 sq.ft.

B)
Add them all together for the total area (A):
A = 140 + 56 + 4 + 20 + 12 = 140+60+32
= 232 sq.ft.

Hope that explains it well enough! ;)
just olya [345]3 years ago
3 0

Answer:

Step-by-step explanation:

(A)

1 big rectangle-2 corner triangles

(B)

24 * 11 = 264 square feet the triangles

11-7

= 4

24 -14

=10

1/2 * 4 * 10

= 20

24-20 by 11-6

=1/2 * 4 * 5 =10

=264 - (20+10)

= 264 - 30

=234 square feet

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Answer:

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2. Let us say that the the average price of gas in my community is $2.8 per gallon. We would first have to convert inches ⇒ gallons provided 1 gallon = 231 inches: 3465/231 = 15 gallons.

4. Now simply multiply this price of 2.8 dollars per gallon by the number of gallons to receive the cost if the tank was full: 2.8 * 15 = <em>$ 42 if this tank was full provided a community cost of $ 2.8 per gallon</em>

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ziro4ka [17]

Answer:

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Step-by-step explanation:

Add all of the numbers together to get 424.

Divide the sum of the numbers by the amount of numbers to get the mean

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In the given equation <em>x</em> represents the miles travelled by the person.

To find the total cost 40 miles, substitute <em>x</em> = 40 in the given equation,

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On further solving the above equation,

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