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
Answer:
Design B bulbs will likely last longer than design A bulbs
Step-by-step explanation:
The B box part spans higher numbers than the A box and the median of B bulbs is higher than median of the A bulbs.
If this is a rectangle, then the answer is the length=96 unitsI just formed two linear equations that follow the information.
1. 2l + 2w= 256
2. l=3w
Then, I solved for w by using substitution. w is 32. I then multiplied it by 3. I get the length as 96.