<h3>
Answer: 10.1 cm approximately</h3>
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Explanation:
The double tickmarks show that segments DE and EB are the same length.
The diagram shows that DB = 16 cm long
We'll use these facts to find DE
DE+EB = DB
DE+DE = DB
2*DE = DB
DE = DB/2
DE = 16/2
DE = 8
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Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9
Use the pythagorean theorem to find x
a^2+b^2 = c^2
8^2+x^2 = 9^2
64+x^2 = 81
x^2 = 81 - 64
x^2 = 17
x = sqrt(17)
That makes EC to be exactly sqrt(17) units long.
If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6
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So,
AC = AE+EC
AC = 6 + sqrt(17)
AC = 10.1231056256177
AC = 10.1 cm approximately
maple syrup = x
corn syrup = 50-x
6x + 0.8(50-x)=2.36*50
6x+40-0.8x=118
5,2x=78
x= 15 gallons of maple syrup
50-15 = 35 gallons of corn syrup
Answer:
225 m³ or 225 cubic meters
Step-by-step explanation:
Actually it has 5 sides, the 2 bases, the 3 lateral faces.
The formula for the volume of a triangular prism is: 
Using the given measurements, we get:

The volume of the prism is 225 m³