216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 =
8a . the constant of proportionality is 2. 8b . the constant of proportionality is 3. 9. Nathan should order 1 cup of each food on the chart. <span />
A number is :

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Three quarters of it means :

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Decrease by 20 means :

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Equals to 82 means :

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What is that number ?
x asked so we must solve the above equation for x.
Let's do it....

Plus sides 20


Multiply sides by 4

Divided sides by 3


Simplify


So that number is 136 .
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And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft