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Leviafan [203]
3 years ago
13

A dinner plate fits tightly into a box whose square base has a perimeter of 28 inches.What is the circumference of the plate?

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0

The diameter of the plate would be equal to the length of a side of the box.

Find the length of the box by dividing the perimeter by 4:

28 / 4 = 7 inches.

The diameter is 7 inches.

Circumference is found by multiplying the diameter by pi:

The exact circumference is 7PI

Using 3.14 for pi, the decimal answer is:

3.14 x 7 = 21.98 inches ( round answer as needed.)

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Firstly , we will check continuity at x=1

we can use method

Suppose, f(x) is continuous at x=c

then it must satisfy

\lim_{x \to c} f(x)=f(c)

\lim_{x \to 1} f(x)=f(1)

firstly , we can find limit

\lim_{x \to 1-} f(x)=  \lim_{x \to 1-}(x+3)=1+3=4

\lim_{x \to 1+} f(x)=  \lim_{x \to 1-}(3x+1)=3*1+1=4

so, we get

\lim_{x \to 1} f(x)= 4

now, we can find f(1)

f(1)=3*1+1=4

so, we got

\lim_{x \to 1} f(x)=f(1) =4

so, this is continuous at x=1

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