The perimeter of (the distance around) ABCD is 66, and DC is twice as long as CB. How long is AB?
1 answer:
Answer:
Step-by-step explanation:
we know that
In this problem ABCD is a rectangle
so
DC=AB
BC=AD
Let
BC ---> the length of rectangle
DC ---> the width of rectangle
we know that
The perimeter of rectangle is equal to
we have
so
simplify
----> equation A
----> equation B
substitute equation B in equation A
Solve for BC
Combine like terms
Divide by 3 both sides
<em>Find the value of DC</em>
---->
Remember that
DC=AB
therefore
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Step-by-step explanation:
The question is wrong. The correct equation is :
We know that the equation gives the relation between temperature readings in Celsius and Fahrenheit.
Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.
So for the incise (a) we answer Yes, C is a function of F.
For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.
Dom (C) = ( - ∞ , + ∞)
For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.
Therefore the range will be
Rang (C) = (0,100)
Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :
For C = 0 :
⇒
And for C = 100 :
⇒
Therefore, the domain as relating temperatures of water in its liquid state is
Dom (C) = (32,212)
For (d) we only need to replace in the equation by and find the value of C ⇒
⇒
≅ 21.67
C(71) = 21.67 °C