Create a shape with an area of 0.8 m2 and a perimeter close to 400 cm

Answers

Answer 1

The dimension of the shape is approximately 1.45 meters by 0.55 meters

Assume the shape is a rectangle, that has the following dimensions.

Length = x

Width = y

So, the area is:

Area = xy

The perimeter is

Perimeter = 2(x + y)

Substitute known values

[tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{2(x+y) = 400cm}[/tex]

Express cm as m

[tex]\mathbf{2(x+y) = 4m}[/tex]

Divide through by 2

[tex]\mathbf{x+y = 2m}[/tex]

Make x the subject (ignore the units)

[tex]\mathbf{x= 2 - y}[/tex]

Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{(2-y)y = 0.8}[/tex]

Open brackets

[tex]\mathbf{2y-y^2 = 0.8}[/tex]

Rewrite as:

[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx (0.55,1.45)}[/tex]

Recall that:

[tex]\mathbf{x= 2 - y}[/tex]

So, we have:

[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]

[tex]\mathbf{x \approx (1.45,0.55)}[/tex]

Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters

Read more about areas and perimeters at:

https://brainly.com/question/11957651


Related Questions

American society is made up of people of the same cultural background.



Please select the best answer from the choices provided


T

F

Answers

Answer:

false

Step-by-step explanation:

simultaneous equations!!
solve the following pair of equations for x and y:

y + 4x = 27

xy + x = 40

Answers

1. 4x+y=27
2.dy. Y+1
———=———
Dx. X

I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?

Answers

Answer:

5

Step-by-step explanation:

Start with 9. Then do the opposite operation starting from the end.

9

√9 = 3

3 - 1 = 2

2 × 6 = 12

12 - 7 = 5

Answer: 5

Which of the following is equivalent to 16 3/2

Answers

Answer:

b is the answer because I don't know what to do with it and

(x-4)^2-(x-4)(x+3)=35

Answers

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

(x -4)² - (x - 4)(x +3) = 35

x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35

x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35

x² - 8x +16 - [ x² -x - 12] = 35

x² - 8x + 16 -x² + x + 12 = 35

x² - x² - 8x + x  + 16 + 12 = 35   {Combine like terms}

-7x + 28 = 35

-7x = 35 -28

-7x = 7

x = 7/-7

x = -1

A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age. so that when they attain maturity at 18, the amount received by each of them at 5 percent simple interest will be the same. Find the sum allotted at present to each son?

A) Rs. 9500, Rs. 9250
B) Rs. 8000, Rs. 1750
C) Rs. 9000, Rs. 9750
D) R.s 10000, Rs. 9750

Answers

Answer:

C) Rs. 9000, Rs. 9750

Step-by-step explanation:

Let the sum allotted is x and 18750 - x.

Interest rate is 5%.

The interest amount is:

(18 - 12)*5% = 30% and(18 - 14)*5% = 20%

We have equation below to compare final amounts:

x + 30% = (18750 - x) + 20%1.3x = 1.2(18750 - x)1.3x = 22500 - 1.2x1.3x + 1.2x = 225002.5x = 22500x = 22500/2.5x = 9000

Correct choice is C

Can you explain how to solve this problem, already know the answer

Answers

So, the slope is -3/5, and the y axis is unidentified.

A point is located at (6,-5). We will use this point.

In order to get the y-axis, we will use 5 from the slope because the denominator allows us to move left and right.

We will also use 6 from the point to give us a dot in the x-coordinate.

We will then divide 5 from the 6 to give us how much we have to go up or down

6/5

We will then use the -3 in the slope.

We will times -3 to the 6/5 in order to know how much we have go up or down.

-18/5 + 5 (from the point)((and since we are moving back, we will add a negative) (My problem))= 1 2/5 (y-intercept)

y = -3/5x + 1 2/5

The y = 13, we will plug it in the equation.

13 = -3/5x + 1 2/5 (subtract 1 2/5 on both sides)

11 3/5 = -3/5x (times 5 on both sides)

-3x = 58 (divide -3 on both sides)

x = -58/3

Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have?

I have to use either the system of equation strategy of elimination or substitution to solve this. I realize that the first equation is
m + d = 132. But I don’t get what the second equation should be!

Answers

Answer: $48

Step-by-step explanation:

132 - 84 = 48

Help me please!! it's due today​

Answers

Answer:

the answer would be 14-16=-2

Step-by-step explanation:

first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer

PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.

When graphed, all of the points in the table lie on the same line.

Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?

Question 1 options:

Slope = 2, y-Intercept = -4


Slope = -2, y-Intercept = -4


Slope = 1, y-Intercept = 2


Slope = -1, y-Intercept = 2

Answers

Answer:

Y-Intercept would be 2, Slope would be 1

Step-by-step explanation:

Simplify the expression. -8n - 2n​

Answers

Answer:

-10n

Step-by-step explanation:

To simplify, you add like terms so by looking at the problem you can see the 8 and the 2 both have an n after, so you can combine them.

so negative 8 minus 2 = -10 and since there are like terms you add the n making the answer -10n

If it was -8n -2 you could not simplify it since the 2 is single and without the same letter

Same with -8n - 2p because it is not the same letter

what is an estimate for the square root of -93

Answers

Answer:

approximately 9.64

Step-by-step explanation:

The square root of 93 is approximately 9.64.

Answer:

9.3 or 9.4

Step-by-step explanation:

We need to estimate √93.

Use formula below:

[tex]\sqrt{x^2+y} =x +(x/2y)[/tex]

or

[tex]\sqrt{x^2-y} =x -(x/2y)[/tex]

In the given case the formula works as:

[tex]\sqrt{93} =\sqrt{9^2+12} =9+(9/2*12) = 9+(9/24)=9.4[/tex]

or

[tex]\sqrt{93}=\sqrt{10^2-7} =10-(10/2*7)=10 - 5/7 = 9.3[/tex]

A person wins $25,000 on a game show and a trip to Costa Rica worth $5,700. Does he have any tax obligation from these winnings?

Answers

Answer:

Yes

Step-by-step explanation: All of these winnings become part of his gross income.

f(x)={x+4….
for f(x)

Answers

Answer:

3f=5

Step-by-step explanation:

f(x) = x+4

3f=4x

x<5

5<_x<7

7<_x<_10

Gabriel deposits $250 into his savings account when he first opens the account. he then deposits $40 every month after that. how much money will he have after 9 months?​

Answers

Answer:

610

Step-by-step explanation:

Multiply the monthly $40 by the 9 months

(40 times 9 = 360)

Then you would need to add in the original $250 deposit money

(360 + 250 = 610)

Ezra and Benji are playing the game with Harrison. After Ezra doubles his hand's value, he has a total of -12.5 points. What was his hand's value before
he doubled it?

Answers

-6.25
half of -12.5 is -6.25

A group of 3 adults and 10 children bought tickets to watch a dance performance.Each adult ticket cost $7 more than each child ticket.The group paid a total of $125.Find the child ticket cost.

Answers

Answer:

8$

Step-by-step explanation:

$54= adults $71=kids which would equal $125 in total and when you divide $71 by 10 because there’s 10 kids you should get $7

I need a helping hand please
Joseph compared the graphs of two functions.

The first function was f(x)=−2x+6.
The second function fits the values in the table:
x 2 5 8 11
y 2 -4 -10 -16
What is the distance between the y-intercepts of the two functions? To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).

f(x) = 2(x − 2)2 + 3

Answers

Answer:

4x-5

Step-by-step explanation:

the answer is 4x-5 as we apply multiplication and subtraction

write a quadratic equation for the points (2,0) and (12,5). make sure to include the axis and five points used to graph the parabola

Answers

Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

The graph is sketched at the end of this answer.

The Factor Theorem states that a polynomial function with roots is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

The graph is a parabola, which means that the function is of the 2nd degree.One zero, with multiplicity 2, at [tex]x = 2[/tex], hence, [tex]x_1 = x_2 = 2[/tex].

Then:

[tex]f(x) = a(x - 2)(x - 2)[/tex]

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

[tex]5 = a(12^2 - 4(12) + 4)[/tex]

[tex]100a = 5[/tex]

[tex]a = \frac{5}{100}[/tex]

[tex]a = 0.05[/tex]

Hence, the parabola is:

[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

At the end of this answer, the graph with five points is sketched.

A similar problem is given at https://brainly.com/question/24380382

1. 4x^2 +3x+2 and 7x^2+7x+3​

Answers

Answer:

 -x2 + 9x - 15

 —————————————

       3      

Step-by-step explanation:

 -x2 + 9x - 15

 —————————————

       3      

(X-7)squared
Expand and simplify

Answers

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab +b²

(x - 7)² =x² - 2* x * 7 + 7²

            = x² - 14x + 49

What is the total surface area of a cylinder with a diameter of 10.8 and a height of 2.6?

Answers

Answer:

271.433606 (in, cm, or whichever unit)

Step-by-step explanation:

To find the areas of the ends of the cylinder, the circles, you would use the formula:

2(π * r²)

The diameter is twice the length of the radius so to find the radius, you would divide the length of the diameter in half. So with a diameter of 10.8 units, it would become 5.4 units.

2(π * 5.4²) = 183.217684

To find the surface area of the rectangle of the cylinder, you would multiply the circumference of the base of the cylinder by the height. The formula to find the circumference is 2πr. The circumference would be 33.9292007 units. 33.9292007 * 2.6 = 88.2159218.

Then add the areas to find the total.

183.217684 + 88.2159218 = 271.433606

(04.01 MC) Which set of points includes all of the solutions for y = negative four fifths times x plus two?line going through 0 comma 2 and 5 comma negative 2 Group of answer choices (15, 10), (0, 2), and (−10, 10) (−10, 10), (−5, 6), (0, 2), (5, −2), (10, −6) (x, y) for all real numbers (x, negative four fifths times x plus two) for all real numbers

Answers

The solutions of a function are the true values of the function

The solutions are: (0,2), (5,-2), (-10, 10) and (-5,6)

The function is given as:

[tex]\mathbf{y = -\frac 45 x + 2}[/tex]

From the question, we understand that the line of the equation passes through points (0,2) and (5,-2)

This means that:

(0,2) and (5,-2) are solutions of the equation

Other possible solutions include (-10, 10) and (-5,6)

This is true because, when these values are substituted in the equation, the result of the equation is true

Hence, the true options are:

(0,2), (5,-2), (-10, 10) and (-5,6)

Read more about solutions of equations at:

https://brainly.com/question/545403

some one please
change the subject to x
a+b​/x=r​

Answers

A+b = r*x

A+b/r = x
Cbcddhdmghn

Answer:

X = b(r - a)

Step-by-step explanation:

b/x = r - a

X = b( r - a)

solve pls brainliest

Answers

Answer:2 3/4 for mixed                11/4 for  improper

Step-by-step explanation:

if a:b=3:4 and b:c=2:5 find i)a:c and II) a:b:c​

Answers

Answer:

a:c= 3/5 = 0.6

a:b:c= 3/4/5=0.15

Plzzzzz help meeeeeeee plzzzzz

Answers

Answer:

1) The profit made is $560.

2) Don't know sorry!!

3) A student will pay $1134 for a calculator.

Step-by-step explanation:

Write a simplified expression for the perimeter of the triangle.
6x - 1, 5x + 6, 9
Perimeter : __ Units

Answers

Answer:

6973 t u 6hud3w. don't knoow

Answer:

the answer is 11x+14

Step-by-step explanation:

 (h[tex]2[/tex] b[tex]\2[/tex])/2

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

9.09

Step-by-step explanation:

Pythagorean Theorem: a² + b²  =  c²

When looking at the triangle we see that we have the hypotenuse and the opposite side.

a = opposite

b = adjacent

c = hypotenuse (always)

So if we plug those numbers into the equation we can get the missing side length

1) a² + b²  =  c²

2) 9.7² + b² = 13.3²

3) b² = 13.3² - 9.7²

4) b² = 176.89 - 94.09

5) b = [tex]\sqrt{176.89 - 94.09}[/tex]

6) b = 9.093954036

Now we round to nearest hundredth

To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,

b = 9.09

Other Questions
What was written in the letter? Julius Caesar Act 2 Scene 1 What did thousands of citizens demand from the legislature through their march ofWashington in 1963? The slope of the line that passes through the points (0,3) and (5,13) is PLEASE SOMEONE HELP MEEE Nous ___ plusieurs fois cette anne. -dmnagions -avons dmnag I need help with this question In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the followingof the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence) Estamos pasandolo muy bien Which relation is not a function?A. {(2, 4), (1, 2), (0,0), (-1,2), (-2,4)}B. {(2,4), (1, 1), (0,0), (-1, 1), (-2,4)}C. {(2, 2), (1, 1), (0,0), (-1,1), (-2, 2)}D. {(2, 2), (1, 1), (0,0), (1,-1), (2,-2)} when someone restates in their own words the crux of what they heard, they are After CO2 is produced by tissues, in what form is most of that carbon transported to the lungs for removal from the body Type the correct answer in each box The point on the number line shows the opposite of ____, or the opposite of the opposite _____. Morgan Company issued cumulative preferred stock. What additional special feature(s) could also have been granted to preferred stock holders Help me fast please worth 14 What legacy did the Old Kingdom (2700 BCE-2200 BCE) leave for future civilizations? Write 10 to 25 sentences about your situation What utensil was not used by the pilgrims to eat thanksgiving dinner? the sequoyah convention was held to? 7. Match cach geographical feature with its continent. Use the physical world map inthe Help Pages to help you.EasyYangtzeA) AfricaE) EuropeAtacamaB) Antarctica F) North AmericaAlpsC) AsiaG) South AmericaMississippiD) Australia Find the value that makes the equation below true:6r+7 = 13+7r the 1945 autobiography black boy follows the childhood of what author?