Answer:
<h2>x = 12</h2>
Step-by-step explanation:
ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:
We have AD = 16, DC = x, DB = 9. Substitute:
<em>cross multiply</em>
Let's first convert Lancy's height into inches, since it includes feet.
There are 12 inches in a foot, so let's multiply 4 by 12.
4×12=48; Add 8 inches since she is 4 feet 8 inches.
48+8= 56
She is 56 inches tall. We need to find the amount of centimeters she is in height. We can do the same thing by multiplying 56 by 2.54.
56×2.54= 142.24
She is 142.24 centimeters tall.
Answer:
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.
Answer:
is it nail polish..............
