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ivanzaharov [21]
4 years ago
6

The perimeter of a square is 75 inches. What is the length of one side of the square?

Mathematics
2 answers:
BaLLatris [955]4 years ago
8 0

Answer:

18,75

Step-by-step explanation:

A square has 4 sides, and each one of them are equal, so 75 divided by 4 its equal to 18,75

xenn [34]4 years ago
6 0

Answer:

L=8.66 inches

Step-by-step explanation:

Perimeter of a square=L*L

75=L*L

75=L²

Taking square root on both sides

8.66 inches=L

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(4.5 feet)^2 times the number of students (13) 

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Factor completely.<br> 4x2 – 28c.+ 40 = 1
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4x^2 -28c + 40 = 1
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Find the area of the shape shown below
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Sixteen blocks are needed to build a four-step double staircase like
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Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = n - 1 b) f(n) = n2 + 1 c) f(n) = nº d) f(n) = [n/
sesenic [268]

Answer:  The correct option is

(a) f(n) = n - 1.

Step-by-step explanation:  We are given to determine whether the given functions are one-to-one or not.

We know that a function y = f(x) is one-to-one if and only if

f(x) = f(y)  ⇔  x = y.

That is, any two distinct elements cannot have the same image.

(a) The given function is

f(n)=n-1.

Let us consider that

f(n_1)=f(n_2)\\\\\Rightarrow n_1-1=n_2-1\\\\\Rightarrow n_1=n_2.

Similarly,

n_1=n_2\\\\\Rightarrow n_1-1=n_2-1\\\\\Rightarrow f(n_1)=f(n_2).

So, this function is one-to-one.

(b) The given function is

f(n)=n^2+1.

Let us consider that

f(n_1)=f(n_2)\\\\\Rightarrow n_1^2+1=n_2^2+1\\\\\Rightarrow n_1^2=n_2^2\\\\\Rightarrow n_1=\pm n_2.

That is, there may be two unequal elements having same image.

For example, f(-1)=(-1)²+1=1+1=2,  f(1)=(1)²+1=1+1=2.

It implies that f(-1)=f(1) but 1 ≠ -1.

So, the given function is not one-to-one.

(c) The given function is

f(n)=n^0.

Here, the image of all the elements is 1.

For example, f(2)=2^0=1,~~f(3)=3^0=1.

f(2)=f(3)  but  2≠3.

So, more than one element is having the same image and so the function cannot be one-to-one.

(d) The given function is

f(n)=\left[\dfrac{n}{2}\right].

Here, we see that

f(2)=\left[\dfrac{2}{2}\right]=[1]=1,\\\\\\f(3)=\left[\dfrac{3}{2}\right]=[1.5]=1.

So, f(2)=f(3) but 2≠3.

So, the given function is not one-to-one.

Thus, the correct option is (a).

5 0
4 years ago
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