Answer:
x = 4
Step-by-step explanation:
(b)
= 5 -
x
Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
2(2x + 1) = 30 - 3x , distribute parenthesis on left side
4x + 2 = 30 - 3x ( add 3x to both sides )
7x + 2 = 30 ( subtract 2 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Answer: The height of the tree is 12.57 ft.
Step-by-step explanation:
The height of a thing is proportional to the its shadow.
Let H = Height and S = length of shadow
Then by equation direct proportion , (i)
Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft long.
Put in (i), we get
Hence, the height of the tree is 12.57 ft.