The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height.
1 answer:
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1) Final expression:
2) Final expression:
Step-by-step explanation:
1)
The first expression is
First, we remove the 2nd bracket by changing the sign of all the terms inside:
Now we group the terms with same degree together:
Now we solve the expression in each brackets:
So, this is the final expression.
2)
The second expression is
We apply the distributive property, so we rewrite the expression as follows:
Solving both brackets,
Now we group terms of same degree together:
And solving each bracket,
So, this is the final expression.
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Answer:
see explanation
Step-by-step explanation:
Given A is directly proportional to r² then the equation relating them is
A = kr² ← k is the constant of proportion
To find k use the condition when r = 5, A = 75 , then
75 = k × 5² = 25k ( divide both sides by 25 )
3 = k
A = 3r² ← equation of proportion
(a)
when r = 4, then
A = 3 × 4² = 3 × 16 = 48
(b)
when A = 147 , then
147 = 3r² ( divide both sides by 3 )
49 = r² ( take the square root of both sides )
r = = 7