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Assoli18 [71]
3 years ago
5

A rectangle and a triangle have the same area. If their bases are the same length's, how do their lives compare? Justify your an

swer.
Mathematics
1 answer:
kozerog [31]3 years ago
4 0
Area of rectangle = l × b = height × base = bh
Area of traingle = ½bh'
Area of rectangle = Area of triangle (given)
bh = ½bh'
h' = 2h
It means that the height of the given triangle is double the height of the rectangle.
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1/4c+5/3c-4=2-1/12 What dose c equal
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Answer:

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Step-by-step explanation:

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3 years ago
The number of bacteria in a refrigerated food product is given by N ( T ) = 27 T 2 − 180 T + 100 N(T)=27T2-180T+100, 7 < T &l
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Answer:

N(T(t))=432t^2-374.4t-118.88

The number of Bactria after 5.8 hours is 12242.

Step-by-step explanation:

The number of bacteria in a refrigerated food product is given by

N(T)=27T^2-180T+100

where, T is the temperature of the food.

When the food is removed from the refrigerator, then the temperature is given by

T(t)=4t+1.6

We need to find the composite function N(T(t)).

N(T(t))=N(4t+1.6)

N(T(t))=27(4t+1.6)^2-180(4t+1.6)+100

N(T(t))=432t^2+345.6t+69.12-720t-288+100

N(T(t))=432t^2-374.4t-118.88

where N(T(t)) is the number of bacteria after t hours.

Substitute t=5.8 in the above function.

N(T(5.8))=432(5.8)^2-374.4(5.8)-118.88

N(T(5.8))=14532.48-2290.4

N(T(5.8))=12242.08

N(T(5.8))\approx 12242

Therefore, the number of Bactria after 5.8 hours is 12242.

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