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Fynjy0 [20]
3 years ago
14

The area of a rectangle is 10 cm^2. One side of the rectangle is x cm. Express the perimeter of the rectangle in terms of x and

show that this rectangle cannot have a perimeter of 12 cm.
Mathematics
1 answer:
frosja888 [35]3 years ago
7 0

Area of rectangle = 10cm²

We know that, Area of rectangle = lb

lb = 10

Let l = x cm. Then b = 10/x cm.

Perimeter of rectangle

= 2(l + b) \\  = 2(x +  \frac{10}{x}) \\  =  \frac{2 {x}^{2} + 10 }{x}cm.

But, this rectangle can't have 12 as its perimeter because Sides have to be factors of 10.If l = 5cm and b = 2cm then it will have perimeter 14cm.If l = 10cm and b = 1cm then it will have perimeter 22cm.

Hope this will help you. 

If you like my answer. Please mark it as brainliest  And  Be my follower if possible.

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A farmer raises only ducks and pigs. There are 55 animals in all on his farm, and 146 legs.
nordsb [41]

Answer:

Number of ducks = 37

Number of pigs = 18

Step-by-step explanation:

Let,

x be the number of ducks

y be the number of pigs

According to given statement;

x+y=55     Eqn 1

2x+4y=146     Eqn 2 (As ducks will have 2 legs and pigs will have 4)

Multiplying Eqn 1 by 2

2(x+y=55)

2x+2y=110    Eqn 3

Subtracting Eqn 3 from Eqn 2

(2x+4y)-(2x+2y)=146-110

2x+4y-2x-2y=36

2y=36

Dividing both sides by 2

\frac{2y}{2}=\frac{36}{2}\\y=18

Putting y=18 in Eqn 1

x+18=55

x = 55-18

x = 37

Hence,

Number of ducks = 37

Number of pigs = 18

8 0
3 years ago
The mean salary of 5 employees is $33700. The median is $34600. The mode is $35600. If the median paid employee gets a $3500 rai
fgiga [73]

Step-by-step explanation:

Given:

Mean = 33700

Median = 34600

Mode = 35600

The mean is the average, the median is the middle number, and the mode is the most common number.

a)

First, we need to find the new mean (average) if one of the employees gets a 3500 raise.  The average is the total salary divided by number of employees:

(5 × 33700 + 3500) / 5 = 34400

b)

The mode is the most common number in a set.  Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary.  The salaries from smallest to largest is therefore:

?, ?, 34600, 35600, 35600

When the median gets the 3500 raise, the set becomes:

?, ?, 35600, 35600, 38100

So the new median is 35600.

c)

The most common number is still 35600.  So the mode hasn't changed: 35600.

4 0
3 years ago
Which of these limits evaluate to 0?
Vikentia [17]
<h3>Answer: C) I and II only</h3>

===============================================

Work Shown:

Part I

\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{2-2}{2+2}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{0}{4}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = 0\\\\\\

----------

Part II

\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{\sin(0)}{0+2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{0}{2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = 0\\\\\\

----------

Part III

\displaystyle \lim_{x \to 5}\frac{x}{x} = \lim_{x \to 5}1\\\\\\\displaystyle \lim_{x \to 5}\frac{x}{x} = 1\\\\\\

7 0
3 years ago
How to write 50 hundredths
NeX [460]

50 hundredths as a Fraction

Since 50 hundredths is 50 over one hundred, 50 hundredths as a Fraction is 50/100.



50 hundredths as a Decimal

If you divide 50 by one hundred you get 50 hundredths as a decimal which is 0.50.




50 hundredths as a Percent

To get 50 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 50 percent.


3 0
3 years ago
in a study evaluating the relationship between stress and muscle cramps, half the subjects are randomly assigned to be exposed t
stiks02 [169]

The study creates stress in a(0ne) way that might affect muscle cramps.

What is muscle cramps ?

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  • Although utmost muscle cramps are inoffensive, some may be related to an beginning medical condition, similar as shy blood force.
  • Cramps can have causes that are not due to underpinning complaint. exemplifications include dehumidification, emphatic exercise or lack of muscle use. Muscle cramps are unforeseen muscle condensation.
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The study creates stress in a(0ne) way that might affect muscle cramps. If an elevator falls, fleetly and stops suddenly, that could affect muscle cramps more because of the physical action than by the stress it convinced. I don’t suppose this trial would help answer whether there's a unproductive relationship between increases stress and muscle cramps.

Learn more about muscle cramp here:

brainly.com/question/19064082

#SPJ4

7 0
1 year ago
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