Answer:
6
Step-by-step explanation:
From the Trapezoid attached :
EF = GT
FG = LA
LE = AT = 10
LA = 24 ; FG = 24
FG + EF + GT = 40
Let : EF and GT = x
FG + 2x = 40
24 + 2x = 40
2x = 40 - 24
2x = 16
x = 16 ÷ 2 = 8
Hence, EF = GT = 8
Using Pythagoras :
Opposite² = hypotenus² - Adjacent²
LF² = LE² - FE²
LF² = 10² - 8²
LF² = 100 - 64
LF² = 36
LF = √36
LF = 6
This is the same as writing
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How to get that answer:
The lowest height is 3^8, and the highest point is 3 times that value.
We can think of that second "3" as really 3^1. This is because x^1 = x for any real number.
Multiply 3^8 and 3^1 using the rule that a^b*a^c = a^(b+c). We add the exponents together.
Therefore, 3^8*3^1 = 3^(8+1) = 3^9
Side notes: