Part A
<h3>Answer:
h^2 + 4h</h3>
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Explanation:
We multiply the length and height to get the area
area = (length)*(height)
area = (h+4)*(h)
area = h(h+4)
area = h^2 + 4h .... apply the distributive property
The units for the area are in square inches.
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Part B
<h3>Answer:
h^2 + 16h + 60</h3>
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Explanation:
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Similarly, along the vertical side we'd have the h go to h+3+3 = h+6
The old rectangle that was h by h+4 is now h+6 by h+10
Multiply these expressions to find the area
area = length*width
area = (h+6)(h+10)
area = x(h+10) ..... replace h+6 with x
area = xh + 10x .... distribute
area = h( x ) + 10( x )
area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6
area = h^2+6h + 10h+60 .... distribute again twice more
area = h^2 + 16h + 60
You can also use the box method or the FOIL rule as alternative routes to find the area.
The units for the area are in square inches.
Answer:
16 apples.
Step-by-step explanation:
Price of apples, Px=$4
Price of tomatoes, Py=$3
Ratio of their Marginal Utilities
Since Natalie’s income is $320
320 = xPx+yPy
Since x=16, Natalie will consume 16 apples.
Answer:
83 degrees
Step-by-step explanation:
Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.
180 - 97 = 83 degrees
Answer:
Step-by-step explanation:
Find the last term of the sequence.
a1 = 8
d = -7
n = 30
a30 = 8 + (n - 1)*(-7)
a30 = 8 + (30 - 1)*-7
a30 = 8 + 29*-7
a30 = 8 - 203
a30 = -195
Sum = (a + L)*n/2
Sum = (8 + -195) * 30/2
Sum = - 187 * 15
Sum = - 2805
Answer:
The rate of change is 9.5 ft/min
Step-by-step explanation:
every minute the balloon rises in 9.5 feet increments
