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IRINA_888 [86]
3 years ago
14

a napkin has an area of 5 square inch . what is the side length of the napkin to the nearest hundredth of an inch?

Mathematics
1 answer:
mart [117]3 years ago
4 0
The side length is 2.24 inches.

The area of a square is given by s²; we have
s² = 5

To find the value of s, we take the square root of each side:
√s² = √5
s = √5 = 2.236 ≈ 2.24
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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.
liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

f(x) = \frac{x^2+4x+3}{x^2-x-2}

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial x^2-x-2

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

(x-2) (x + 1)

We do the same with the numerator

x^2+4x+3

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

(x+3)(x + 1)

Therefore

f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}

Note that \frac{(x+1)}{(x+1)}=1 only if x \neq -1

So since x = -1 is not included in the domain the function has a discontinuity in x = -1

3 0
3 years ago
What is 3 multiplied by 3/8 as a mixed number
krek1111 [17]

Answer:

1 and 1/8

Step-by-step explanation:

The number 1.125 can be writen using the fraction 1125/1000 which is equal to 9/8 when reduced to lowest terms.

It is also equal to 1 1/8 when writen as a mixed number.

You can use the following approximate value(s) for this number:

1.125 =~ 1 (if you admit a error of -11.111111%)

7 0
3 years ago
Anna made 20/28 free throws in basketball this season.To the nearest thousands,what is her free-throw average?
Afina-wow [57]

Answer:

0.714 free throws.

Step-by-step explanation:

Anna made 20 out of 28 free throws.

Free-throw average = \frac{20}{28}  = 0.7142857143 free throws.

This equals 0.714 free throws (answer rounded up to the nearest thousandths)

5 0
3 years ago
You purchased 18.000 milliliters of juice. Juice costs $2 per liter. The cashier
Aleonysh [2.5K]

Answer:

cashier needed to divide by 1000, not 3.

Step-by-step explanation:

there are 1000ml in one liter. in order to find the amount of liters, youd have to divide the milliliters by 1000. its only after then that you can multiply by $2. answer would be $36

6 0
2 years ago
What is 7! Like seven times all the numbers below it
aleksandr82 [10.1K]
Explain yourself more and I’ll help
3 0
3 years ago
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