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3 years ago

A square has an area of 81x square cm. What is the perimeter of the square ?

Mathematics

1 answer:

Fudgin [204]3 years ago

6 0

Answer:

The perimeter of the square is $36\sqrt{x}\ cm$

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

we have

$A=81x\ cm^{2}$

substitute and solve for b

$81x=b^{2}$

square root both sides

$b=9\sqrt{x}\ cm$

step 2

Find the perimeter of the square

we know that

The perimeter of the square is equal to

$P=4b$

we have

$b=9\sqrt{x}\ cm$

substitute

$P=(4)9\sqrt{x}$

$P=36\sqrt{x}\ cm$

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In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all t

katovenus [111]

Answer:

20 questions

Step-by-step explanation:

Given

$Correct \Marks= +5$

$Incorrect\ Marks= -2$

$Score\ Obtained = 30$

$Number\ of\ correct\ answers = 10$

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

$Total = +5 * 10$

$Total = +50\ marks$

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

$Incorrect = Scores\ Obtained - Total$

$Incorrect = 30 - (+50)$

Open bracket

$Incorrect = 30 - 50$

$Incorrect = -20$

Divide this by -2 to get the number of incorrect answers

$Incorrect\ Answers = \frac{-20}{-2}$

$Incorrect\ Answers = 10$

Add this to the number of correct answers to give the total number of question answered

$Total = Correct\ Answers + Incorrect\ Answers$

$Total = 10 + 10$

$Total = 20$

<em>Hence, Roy answered a total of 20 questions</em>

3 0

3 years ago

Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of

lana [24]

Answer:

<em>The estimated sales were $260 million</em>

Step-by-step explanation:

Assume the endpoints of a segment are (x1,y1) and (x2,y2).

The midpoint (xm,ym) is calculated as follows:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:

$\displaystyle x_m=\frac{2008+2010}{2}=2009$

$\displaystyle y_m=\frac{240+280}{2}=260$

The estimated sales were $260 million

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3 years ago

Which table represent a linear function

777dan777 [17]

Answer:

The last answer is correct. (x: 1,2,3,4 ; y: -5,0,5,10)

Step-by-step explanation:

In a linear function, the rate of increase/decrease is constant (the same). For the last answer, since for every x increase, y increases by 5, it is linear and has a constant rate of change.

3 0

2 years ago

Given the following 2 equations, state whether these equations are parallel, perpendicular, or neither.

stiks02 [169]

Answer:

Neither

Explanation:

The slope-intercept form of the equation of a line is generally given as;

$y=mx+b$

where m = the slope of the line

b = the y-intercept of the line

Two lines are said to be parallel if they have the same slope. Looking at the two given equations below, we see that the slope of the 1st one, 5/7, is different from the slope of the 2nd one, 7/5;