A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
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a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
Unit rate means how much does it cost for 1 unit
140 for 18ft^2
divide by 18
140/18=7.77777777777777
so the unit rate is $7.78 per square foot
Answer:
The volume of a prism on its own = 248.5cm^3
The volume of a cylinder = 87.92cm^3
Step-by-step explanation:
The volume does not change for the prism as the hole was drilled.
We can show the drilled space with v(l) and (p) for prism V
v(l) 248.5p - 87.92p + 87.92p
= 248.5p
For this case we have the following conversions:
1 yard = 3 feet
The estimate distance Is:
400yd = 1200feet
200yd=600 feet
Ten, the estimate Is:
1200 + 600 = 1800 feet
The real distance Is:
The total distance in yards is given by:
440 + 220 = 660 yd
Then, let's transform this distance to feet, with the given conversion:
660 * 3 = 1980 feet
The distance traveled is reasonable for a person
Comparing the estimate and the actual answer, the distance malcom Ran Is reasonable.
Answer:
Malcolm ran 1980 feet.
The distance is reasonable.
F(C) = 95C + 32...
F(C) is y.
y = 95C + 32
Switch Y & C.
C = 95y + 32
C - 32 = 95y
(C - 32) / 95 = y
In the inverse, y is F-1(C)
F-1(C) = (C - 32) / 95
