the area of a rectangle is 72cm2, in which the width is twice the length. what are the dimensions

Answers

Answer 1

Answer:

Dimension: 2inches by 4 inches

Step-by-step explanation:

Given

\(Width = 2wice\ Length\)

Required

Determine the dimension.

This is calculated as :

\(Area = Length * Width\)

\(A = L * W\)

So:

\(A=L * 2L\)

\(A=2L^2\)

Substitute 72 for A

\(72=2L^2\)

Divide bith sodes by 2

\(36 = L^2\)

Take square root of both sides

\(L = 6\)

Recall that:

\(Width = 2 * Length\)

Hence:

\(LEnhth= 0 * 2\)

\(LEnhth= 2\)

Hence, the dimension is: 2 by 3 inches


Related Questions

Why is the square root of 1.95 an irrational number?

Answers

Answer:

because if u divied it it is dum as

Step-by-step explanation:

I'll give you brainliest if it's right =D
Which equation shows a proportional relationship between x and y?
A) y = 12x + 1


B) y = 3.5x


C) y = 2


D) y=−4x−6

Answers

Answer:

C.

Step-by-step explanation:

The relationship is proportion if y/x is constant.

So it is C because 12/4 = 15/5 = 18/6 = 3.

12. Which expression has the same value as 34 - 957
a.
95 - 34
b. -95 +(-34)
C.
34-(-95)
d. 34 + (-95)

(It’s the 12th,forget the other question)

12. Which expression has the same value as 34 - 957a.95 - 34b. -95 +(-34)C.34-(-95)d. 34 + (-95)(Its

Answers

Answer:

I see there bo 957 ..

34 - 95 = - 61

a) 95 - 34 = 61

b) - 94 + (-34) = - 95 - 34 = -129

c) 34 - (-94) = 34 + 95 = 129

d) 34 + (-94) = 34 - 95 = -61

therefore, your answer is d

Answer:

It would be D

Step-by-step explanation:

when there is a + in front of an expression in parentheses, the expression remains the same

34-95

Calculate the difference 34-95

which = -61 and that is what 34-95 is

The price of a necklace was increased by 10% to £121. What was the price before the increase.

Answers

Answer:

£110

Step-by-step explanation:

Adding 10% to something is the same thing as multiplying by 1.1 (1.1 is the decimal form of 110%). This has already happened so we divide by 1.1 instead.

121 / 1.1 = 110

Answer:

110

Step-by-step explanation:

10% of 110 = 11

110 + 11 = 121 :)

What is the slope is a line that is perpendicular to the graph of y=2x+5Mark only one oval -1/21/22-2

What is the slope is a line that is perpendicular to the graph of y=2x+5Mark only one oval -1/21/22-2

Answers

Step 1

Given;

\(y=2x+5\)

Required; To find the slope.

Step 2

\(\begin{gathered} y=mx+c \\ m_1=slope=2 \\ c=y-intercept \\ y=2x+5 \\ For\text{ perpendicular lines }m_1(m_2)=-1 \\ \end{gathered}\)\(\begin{gathered} 2(m_2)=-1 \\ m_2=-\frac{1}{2} \end{gathered}\)

Answer;

\(slope\text{ of the perpendicular line required=}-\frac{1}{2}\)

I only need Q d please (the last question)

I only need Q d please (the last question)

Answers

Answer:

December at -10

Step-by-step explanation:

first you rule out all positive numbers

then you finder the biggest number with a negative side and that is you lowest temperature

Please answer these 3 questions

Please answer these 3 questions

Answers

The Volume of the box is 12 cubic unit.

We have,

Height = 1 unit

Width = 2 unit

Length = 6 unit

So, Volume of box

= l w h

= 1 x 2 x 6

= 12 cubic unit

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Pls help me
Question 2 Part C (5 points): Mrs. Hinson is replacing her rectangular driveway with pavers. The area of her driveway is 64m² - 9n² square units. Mrs. Hinson needs to find the dimensions of her driveway so she knows how many pavers to buy.


Help Mrs. Hinson by factoring the area completely. To receive full credit, you must show all work.


WORK:
ANSWER: The dimensions are...

Answers

Let's factor out

\(\\ \rm\Rrightarrow 64m^2-9n^2\)

\(\\ \rm\Rrightarrow (8m)^2-(3n)^2\)

\(\\ \rm\Rrightarrow (8m-3n)(8m+3n)\)

Done

The dimensions of Mrs. Hinson's driveway are (8m -3n)unit ×  (8m + 3n) units.

Factors:It is a number or algebraic expression which divides completely another number or expression, without leaving any remainder.

How to solve the given problem?The shape of the driveway is rectangular, which is given by
64m² - 9n² .Let A = 64m² - 9n².
Splitting the given quadratic equation as it is in form of
   a² - b² = (a - b) (a + b)
∴ A = (8m)² - (3n)²
∴ A = (8m -3n) (8m + 3n)   [∵a² - b² = (a - b) (a + b)]Thus the factors of the equation are  (8m -3n) (8m + 3n).

Thus, the dimensions of the area are  (8m -3n)unit ×  (8m + 3n) units.

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4.4s + 6.2 = 8.8s - 1.8
please help

Answers

Answer:

s = 1.81

Step-by-step explanation:

4.4(1.81)+6.2=8.8(1.81)-1.8

plug in and multiply if you'd like to clarify :)

Answer:

=Steps

4.4s+6.2=8.8s−1.8

Multiply both sides by 10

4.4s· 10+6.2· 10=8.8s· 10−1.8· 10

Refine

44s+62=88s−18

Subtract 62 from both sides

44s+62−62=88s−18−62

Simplify

44s=88s−80

Subtract 88s from both sides

44s−88s=88s−80−88s

Simplify

−44s=−80

Divide both sides by −44

−44s

−44 =

−80

−44

Show Steps

Simplify

s=

20/11

Step-by-step explanation:

I need help please ??? ASAP???! And what can I write ?? thank you so much!

I need help please ??? ASAP???! And what can I write ?? thank you so much!

Answers

Answer:

You need to multiple

Step-by-step explanation:

A bakery can make 6 cheesecakes for every 60 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses?

Answers

Number of cheesecakes | Number of blocks of cream cheese

Cheesecakes         Blocks of Cream Cheese

      6                                   60

     12                                   120

     18                                   180

     24                                   240

     30                                   300

The table above represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses. It shows that for every 60 blocks of cream cheese, the bakery can make 6 cheesecakes, and as the number of blocks of cream cheese increases, the number of cheesecakes the bakery can make also increases in multiples of 6.

How many cheesecakes can the bakery make using 90 blocks of cream cheese?

If the bakery can make 6 cheesecakes for every 60 blocks of cream cheese, we can set up a proportion to find out how many cheesecakes they can make using 90 blocks of cream cheese:

6 cheesecakes / 60 blocks of cream cheese = x cheesecakes / 90 blocks of cream cheese

To solve for x, we can cross-multiply:

6 cheesecakes * 90 blocks of cream cheese = 60 blocks of cream cheese * x cheesecakes

540 cheesecakes = 60x

Dividing both sides by 60, we get:

x = 9 cheesecakes

Therefore, the bakery can make 9 cheesecakes using 90 blocks of cream cheese.

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Which expression is equivalent to ³✓x⁵y?
•x⁵/³y
• x⁵/³y⅓
•x⅗y
•x⅗y³​

Answers

Answer:

x⁵/³y

Step-by-step explanation:

x⁵/³y is equivalent to ³✓x⁵y.

A square-shaped warehouse has a floor area of 12,769 square feet. The length of one of the walls is ___ feet.

Select one:
a. 100
b. 23.37
c. 127.69
d. 113
e. none of these

Answers

Answer:

113 (d)

Step-by-step explanation:

Since the room is square-shaped, you square root the area (12,769) to find the length of each wall. You will get the answer 113. To check this answer multiply 113 by 113 and make sure you get the correct area; it works, so you know the answer  is D.

Which set of fractions is ordered from greatest to least? 11/12, 7/10, 5/6 11/12 7/10

Answers

Answer:

11/12 11/12 7/10 7/10 5/6

Step-by-step explanation:

I did smallest to largest. still answer your question so 5/6 is the greatest (it's bigger) and 11/12 is the least (it's the smallest) think of it like a cookie would you rather have 11/12 of a cookie or 5/6 of a cookie which is the bigger piece? the bigger piece is the greater number.

NO LINKS!! Help me with the 2-Column Proof Part 3aa​

NO LINKS!! Help me with the 2-Column Proof Part 3aa

Answers

Here is the two column proof:

    Statement                                        Reason                                              

RD bisects OS                              GivenA is the point of intersection       Shown on the diagramOA ≅ AS                                       Definition of a segment bisector

       

Proved

What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?

What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?

Answers

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet.

Answers

Explanation:

There really is not enough information here. You have not indicated how x is related to the rectangle.Perhaps (as an alternative to the assumption I made [above]), you meant for x > 0 to be the length of one side of a square.

I have attached the answer in the picture.

Write and solve an inequality that represents the values of x for which the area of the rectangle will

Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.

Week Mass (grams)
(start) 80
1
2
3
4

Answers

Answer:

Week 1 = 80

Week 2 =88

Week 3 = 96.8

Week 4 = 106.48

Week 5 = 117.128

Step-by-step explanation:

Given

Week 1 = 80

Growth = 10%

Required

Fill week 1 to 5

We have week 1 already.

Week 2 is calculated as thus:

Week 2 = Week 1 + 10% * Week 1

Week 2 = 80 + 10% * 80

Week 2 = 80 + 8

Week 2 = 88

Week 3 is calculated as thus:

Week 3 = Week 2 + 10% *Week 2

Week 3 = 88 + 10% * 88

Week 3 = 88 + 8.8

Week 3 = 96.8

Week 4 is calculated as thus:

Week 4 = Week 3 + 10% * Week 3

Week 4 = 96.8 * 10% *96.8

Week 4 = 96.8 + 9.68

Week 4 = 106.48

Lastly, week 5 is calculated as thus:

Week 5 = Week 4 + 10% * Week 4

Week 5 = 106.48 + 10% * 106.48

Week 5 = 106.48 + 10.648

Week 5 = 117.128

2-11 Unit Rates
Part 1 of 3
Due 11/1
Challenge An arts academy repares there to be 4 teachers for every 60 students and 6 tutors for every 48 students. How many students does the academy heve per teacher? Por tudor? How many
tutors does the academy need if it has 00 students?

Answers

There are total 15 students per teacher and 8 students per tutor. For 100 students, total 13 tutors are required.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given data provided in the question,

4 teachers  = 60 students

For 1 teacher = 60/4 = 15 students

Similarly,

6 tutors = 48 students

For 1 tutor = 48/6 = 8 students.

For total 100 students, total number of tutors = 100/8

= 12.5 or 13 tutors are required.

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HELP ME FAST PLSSS<3

A bottle of juice states that a serving is 1/2 cup. How many servings are in a 2-pint container? (one pint= 2 cups)

Answers

Answer: 8 servings

Step-by-step explanation:

1/2 cup + 1/2 cup = 1 cup

                                              >  1 cup + 1 cup = 2 cups = one pint

1/2 cup + 1/2 cup = 1 cup

if 4 servings go in one pint then 8 servings goes in 2 pint

Answer:

8 cups/servings.

Explanation:

Can't explain further more because I'm not good in explaining things yet I'm sure that's the correct answer.

Sixth grade R. 11 Ratios and rates: complete a table and make a graph 622 The cook in the lunchroom at Elver Middle School, Chef Peter, has a pile of peppers to chop. He chops 3 peppers in 5 minutes. Complete the table. Minutes 5 10 15 20 Peppers chopped 3 Graph the data from the table. 30 27 24 21

Sixth grade R. 11 Ratios and rates: complete a table and make a graph 622 The cook in the lunchroom at

Answers

If a cook can chop 3 peppers in 5 minutes, then at the same rate, he/she can chop 6 peppers in 10 minutes, 9 in 15 minutes and 12 in 20 minutes, using equivalent ratios.

As per the question statement, a cook can chop 3 peppers in 5 minutes,

And we are required to calculate the number of pepper he/she can chop in 10, 15 and 20 minutes, at the same rate mentioned above.

Given, the cook can chop 3 peppers in 5 minutes, And let us assume that, at the same rate, he/she can chop "x", "y" and "z" peppers in 10, 15 and 20 minutes respectively.

That is, [5: 3 :: 10: x],

Or, [(5/3) = (10/x)]

Or, [x = 6], that is, 6 peppers in 10 minutes,

Similarly, [5: 3 :: 15: x],

Or, [(5/3) = (15/x)]

Or, [x = 9], that is, 9 peppers in 15 minutes,

And, [5: 3 :: 20: x],

Or, [(5/3) = (20/x)]

Or, [x = 12], that is, 12 peppers in 20 minutes.

Ratios: In mathematics, a ratio is a comparison of two or more numbers, showing how many times one number contains another.

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Answer:

If a cook can chop 3 peppers in 5 minutes, then at the same rate, he/she can chop 6 peppers in 10 minutes, 9 in 15 minutes and 12 in 20 minutes, using equivalent ratios.

Step-by-step explanation:

Amplitude is ______.

the maximum displacement of a function on a graph
the minimum displacement of a function on a graph

Answers

Amplitude is the maximum displacement of a function on a graph.

What is amplitude?

Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.

It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.

But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.

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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were 6336 yes votes, what was the total
number of votes?

Answers

10296 was the total number of votes in linear equation .

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

The ratio of yes votes to no votes =  8 : 5

the ratio is 8 to 5, the first step is to divide 6336 by 8. That results in 792.

Ratio of yes to no votes = 8 : 5  

total yes votes =  6336 yes

no of yes votes =  6336 / 8  =   792

no of no votes = 792 * 5 = 3960

Since the question is asking the total number of votes, we add the two results ( 3960+6336) which totals 10296.

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If a firm’s total fixed costs are $11,639, total revenues are $28,200, and profit is $4,776, what must the firm’s total variable cost be?

Answers

Answer:

Step-by-step explanation:

i would appreciate so much if you could answer this and atleast explain a little how you did it (optional)

i would appreciate so much if you could answer this and atleast explain a little how you did it (optional)

Answers

Answer:

a.

Fee of whole band = Fee of writer + guitarist + singer

Fraction of fee of whole band = 4/12 + 1/12 + 1/12

= 4+1+1/12

=6/12

=1/2

b.

Fee of writer= 4/12 of £3000

=3000 × 4/12

= £1000

Fee of singer= 1/12 of £3000

= 3000 × 1/12

= £250

Fee of guitarist= Fee of singer

= £250

Find the sum of s = 1 - (1)/(4) + (1)/(6)-(1)/(9)+ (1)/(11)- (1)/(14)...

Answers

The sum of the equation is

\( \frac{859}{2772} \)

How to find the sum

Given the expression

s = 1 - (1)/(4) + (1)/(6)-(1)/(9)+ (1)/(11)- (1)/(14)

Let's find the LCM, which is 2772

s =

\( \frac{2772 - 693 + 462 - 308 +252 - 198}{2772} \)

Add the numerators, do the addition before the substraction

s =

\( \frac{859}{2772} \)

Thus, the sum of the equation is

\( \frac{859}{2772} \)

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50 POINTS HELP PLEASE
Write the equation of the line given the following slope and y-intercept

m=4

b=−1

y=
(note for people answering and admins the y is supposed to be blank and its the answer box dont take it down pls,thank you)

Answers

Answer:

y = 4x - 1

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

Given

Slope m = 4,y-intercept b = - 1

Equation of a line in slope-intercept form

y = mx + b

Substitute the values to get

y = 4x - 1

What must be added to -31 to get 12

Answers

Answer:

43

Step-by-step explanation:

31+12=43

Therefore adding 43 to -31 should give the answer 12.

Hii!

____________________________________________________________

Answer:

43

Step-by-step explanation:

We can find an answer to this question by setting up an equation.

-31+x=12

x is the unknown amount we should add to -31 to obtain 12.

Now, to solve it for the variable, x, we need to add 31 to both sides.

Upon doing this we obtain.

x=43

∴, 43 should be added to -31 to get 12

--

Hope that this helped! Best wishes.

--

Identify 2 congruent angles
Look at picture for reference

Identify 2 congruent angles Look at picture for reference

Answers

In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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A group of preschoolers has 63 boys and 27 girls. What is the ratio of boys to all children (lowest form)?

Answers

Answer:

7 boys to 10 all children

63:90= 7:10

Reasoning:
add up the total amount of preschoolers which is 90, and the amount of boys in the group of children which is 63. so it would be 63:90. 9 goes into both numbers. (63 divided by 9= 7. 90 divided by 9 is 10.) so the answer would be 7:10 in simplified form.
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