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Tom [10]
3 years ago
14

Find the area of the shaded portion in the equilateral triangle with sides 6.

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
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Step-by-step explanation:

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Answer:

The Fullers can reach the national park

Step-by-step explanation:

<u><em>The complete question is</em></u>

The Fuller family wants to drive to a national park. Some information about their trip is given in the  table below.

Distance to national park 515 miles

Car’s gas tank capacity 20 gallons

Average gas mileage for car 26 miles per gallon

The family wants to determine if they can drive to the national park using just one tank of gas in their  car. Determine whether the Fullers can reach the national park. Show your work or explain your  answer.

we know that

The Average gas mileage for the car is 26 miles per gallon

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so

using a proportion

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\frac{26}{1}\ \frac{miles}{gallon}=\frac{x}{20}\ \frac{miles}{gallons}\\\\x=26(20)\\\\x=520\ miles

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520\ miles>515\ miles

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The Fullers can reach the national park

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