Given the equation:

$$ a = \frac{1}{3} h (a + 4b + c) $$

and the values:

$$ a = 20 $$
$$ h = 5 $$
$$ a = 1 $$
$$ c = 1 $$

Find the value of $ b $.

Question

Given the equation:

$$ a = \frac{1}{3} h (a + 4b + c) $$

and the values:

$$ a = 20 $$
$$ h = 5 $$
$$ a = 1 $$
$$ c = 1 $$

Find the value of $ b $.

ollieboyne · Answer

A = 1/3 h ( a + 4 b + c ) 20 = 1/3 ( 5 ) ( 1 + 4 b + 1 ) 20 = 1/3 ( 5 + 20 b + 5 ) 60 = 10 + 20 b 50 = 20 b b = 50/20 b = 2.5

ollieboyne · Answer

After substituting the given values into the equation, we simplified and solved for b to find that b = 2.5 . 
 ;

Given the equation:

\[ a = \frac{1}{3} h (a + 4b + c) \]

and the values:

\[ a = 20 \]
\[ h = 5 \]
\[ a = 1 \]
\[ c = 1 \]

Find the value of \( b \).