A rectangle has an area of 40 square units. The length is 6 units greater than the width. What are the dimensions of the rectangle?

Answers

Answer 1

Answer:

[tex]W=2.58 unit[/tex]

[tex]L=15.5 unit[/tex]

Step-by-step explanation:

From the question we are told that:

Area [tex]A=40[/tex]

Equation

Length [tex]L=6LW[/tex]

Generally the equation for Area of a rectangle is mathematically given by

 [tex]A=L*W[/tex]

 [tex]A=W*(6W)[/tex]

 [tex]A=6W^2[/tex]

 [tex]W=\sqrt{40/6}[/tex]

 [tex]W=2.58 unit[/tex]

Therefore Length is

 [tex]L=6W[/tex]

 [tex]L=6(2.58)[/tex]

 [tex]L=15.5 unit[/tex]

Answer 2

Length = 10

Width = 4

The dimensions of the rectangle would be 10 by 4.


Related Questions

What are the possible degrees for the polynomial function?

Answers

Answer:

degrees of 5 or greater

Step-by-step explanation:

peaks counted are 5

A passenger traveling by air is allowed a maximum of 20kg luggage. A man has 4 bags weighing 3.5kg , 15kg, 2kg, 1.5kg. Find the excess weight of the luggage. Express the excess weight as a percentage of the maximum weight​

Answers

Answer:

The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.

Step-by-step explanation:

First, we need to find the weight (W) of the 4 bags:

[tex] W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg [/tex]

Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:

[tex] W_{e} = W - M = 22 kg - 20 kg = 2 kg [/tex]

We can express the excess weight in percentage as follows:

[tex] \% W_{e} = \frac{W_{e}}{M} \times 100 = \frac{2 kg}{20 kg}\times 100 = 10 \% [/tex]  

Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.          

 

I hope it helps you!                      

what is 3.78 × 10 ²=

Answers

Answer:

3.78 × [tex]10^{2}[/tex] = 378

Step-by-step explanation:

3. If a + b = C, which of the following statements is true?

Answers

Answer:

first one

Step-by-step explanation:

a + b = c

subtract a from both sides

b = c - a

or

c - a = b

[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]a + b = c[/tex]

[tex]⇢ b = c - a[/tex]

[tex]⇢ c - a = b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

At the grocery store last week, small boxes of facial tissue were on sale at 4 boxes for $5. This week they mark a new price at 5 boxes for $4. What is the percent decrease in the price per box this week?

Answers

Answer: 36%

Step-by-step explanation:

Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:

= $5/4

= $1.25 per box

This week they mark a new price at 5 boxes for $4. The price per box will be:

= $4/5

= $0.8 per box

The percent decrease in the price per box this week will be:

= (1.25 - 0.80)/1.25 × 100

= 0.45/1.25 × 100

= 36%

The Percentage decrease is 36%

How do you find an equivalent rate with the bottom number (denominator) equal to 1?
PLEASE HELP DUE IN 4 MINUTES!!!!!!!!!!!!
A)Divide the denominator by the numerator

B)Divide both the numerator and denominator by 10.

C)Divide the numerator by the denominator.

Answers

Answer:

C) divide the numerator by the denominator

Step-by-step explanation:

Example

6/3=2/1

In a group of students, every student needs to make a bookmark for each of their groupmates. If the total bookmarks made is 42, how many students are there in this group?​

Answers

7

Hope this helps! :)

______________

Answer:

very easy there are 42 students because every student needs a bookmark for each of their groupmates

Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

Answer:

Ty

Step-by-step explanation:

What is the value of the expression below?

2[3(4+1)]-2

Answers

Answer:

28

Step-by-step explanation:

2[3*5]-2

2*15-2

30-2

28

Help me please
How many solutions does the equation
x -4 = 12 - 2x have? Explain.
- ? .

Answers

Answer: one solution.

Step-by-step explanation:

[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]

This equation has one solution:  x = 6.

What are the apparent coordinates of the midpoint of ab

Answers

Answer:

A. [tex](-1,-2)[/tex]

Step-by-step explanation:

Hope this helps you.

( -4, 1 ) and ( 2 , -5 )

Now,

mid point = ( 2 - 4 )/2 , ( -5 + 1 )/2

= ( -2 /2 ) , ( -4 /2)

= ( - 1, - 2 )

A ( - 1, - 2 )

I hope it's help you...

Mark me as brainliest...

In 2 Year 6 classes, 2/5 of the children are girls. There are 39 boys. How many children are there in the class?

Answers

Second time I’ve seen this problem

Farida bought 20 stamps consisting of 20 sen stamps and 60 sen stamps. The total cost of the stamps is RM8.80. How many 20 sej stamps did Farida buy?

Answers

Answer:

# of 20cent stamps = 8

Step-by-step explanation:

Let the  number 20cent stamps be = x

Let the number 60 cents stamps be = y

Total number of stamps => 20 = x + y ----------- ( 1 )

Total cost of the stamps = 8.80

That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )

      ( 2 ) => 20x + 60y = 880

            => x + 3y = 44

           =>  x = 44 - 3y

Substitute x in  ( 1 ) => x  +  y = 20

                                 44 - 3y + y = 20

                                     - 2y = 20 - 44

                                     - 2y = - 24

                                       2y = 24

                                       y = 12

Substitute y = 12 in  ( 1 ) => x + y = 20

                                         x + 12 = 20

                                            x = 8

could anyone help me with this?

Answers

Answer:

93.4 cm²

Step-by-step explanation:

Area of the shaded region = area of the square - area of half of the circle

Area of the shaded region = s² + ½(πr²)

Where,

r = 6.2 cm

s = length of square = diameter of circle = 2*r = 2*6.2

s = 12.4 cm

Plug in the values

Area of the shaded region = 12.4² - ½(π × 6.2²)

= 153.76 - 60.381411

= 93.378589

≈ 93.4 cm² (nearest tenth)

A shoe repairman is working with his assistant, who takes 1.5 times as long to repair a pair of shoes.
Together they can fix 10 pairs of shoes in six hours. How long does it take the repairman to fix one pair
of shoes by himself?

Answers

Answer:

1/2 or 0.5 hours

Step-by-step explanation:

r = time for repairman to fix one pair of shoes.

a = time for assistant to fix one pair of shoes.

a = r×1.5

x×r + y×a = 6

x = number of pairs of shoes repaired by repairman.

y = number of pairs of shoes repaired by assistant.

x+y = 10

y = 10-x

x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)

y = 10 - y×1.5

y + y×1.5 = 10

2.5×y = 10

y = 4

=> x = 6

6×r + 4×r×1.5 = 6

6×r + 6×r = 6

12×r = 6

r = 6/12 = 1/2 or 0.5 hours

Which statement is true regarding the graphed
functions?
96)
10
18
1509
f(0) = 2 and g(-2) = 0
f(0) = 4 and g(-2) = 4
O f(2)= 0 and g(-2) = 0
Of(-2) = 0 and g(-2) = 0
654 -3 -2 -12
5 6 x
-4
-6
-8
-10
-124

Answers

Answer:

f(2) = 0 and g(-2) = 0

Step-by-step explanation:

0.8 is the slope of the line M'N'.

What is the Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

So, the coordinates of M' are (0.82, 0.84) = (1.6, 3.2), and the coordinates of N' are (0.83, 0.85) = (2.4, 4).

Now, we can find the slope of line M'N' using the slope formula:

slope of M'N' = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (1.6, 3.2) and (x2, y2) = (2.4, 4).

slope of M'N' = (4 - 3.2) / (2.4 - 1.6)

the slope of M'N' = 0.8

Therefore, the slope of line M'N' is 0.8.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ7

Select the correct answer.
Alan's dogs have a total of 24 legs (l). If each dog has 4 legs, which equation gives the number of dogs (d) that Alan has?
A.
4 × d = 24
B.
4 × l = 24
C.
4 + d = 24
D.
4 + l = 24
does anyone know the answer to that question i need it ASAP !!!!

Answers

Answer:

the answer is a 4 x d = 24 I think

a freight elevator has a weight limit of 2 tons. Each crate that is loaded weighs 80 pounds. What is the greatest number of crates that can be loaded on to the elevator?

25

500

250

50

Please help meh TvT

Answers

Answer:

50 crates

Step-by-step explanation:

First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D

50 crates because u need to do a lot of things then u get it

Solve the equations and graph the solution

Answers

Given:

The inequalities are:

[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]

To find:

The solution for the given inequalities and graph the solution.

Solution:

We have,

[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]

Solve the above inequalities separately.

[tex]-5x<-3[/tex]

Divide both sides by -5.

[tex]x>\dfrac{-3}{-5}[/tex]

[tex]x>\dfrac{3}{5}[/tex]             ...(i)

And,

[tex]2x<-8[/tex]

Divide both sides by 2.

[tex]x<\dfrac{-8}{2}[/tex]

[tex]x<-4[/tex]                       ...(ii)

From (i) and (ii). we get

[tex]x<-4[/tex] or [tex]x>\dfrac{3}{5}[/tex]

The interval notation of the solution is [tex](-\infty,-4)\cup \left(\dfrac{3}{5},\infty\right)[/tex].

The graph of the solution is shown below.

Given two similar cylinders with a height ratio of 2:3 what is the ratio of their volumes?

Answers

Answer:

8 : 27

Step-by-step explanation:

The ratio of the volumes is the ratio of the scale factor cubed

2^3 : 3^3

8 : 27

Answer:

8 : 27

Step-by-step explanation:

Given 2 similar cylinders with height ratio = a : b , then

ratio of volumes = a³ : b³

Here height ratio = 2 : 3

ratio of volumes = 2³ : 3³ = 8 : 27

फरक परेछ? A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation, ​

Answers

Answer:

you nepali me nepali all are nepalese nepalese are only unintelligent

5 3 Divide: 3 4
[tex] \frac{5}{?8 \div \frac{3}{?4} } [/tex]

Answers

Answer:

Step-by-step explanation:

x

Please help me please ASAP

Answers

Answer:

x = 17

Step-by-step explanation:

(5x-23) + (7x-1) = 180

12x - 24 = 180

12x = 204

x = 17

Answer:

x = 17

Step-by-step explanation:

The 2 given angles are same- side interior angles and sum to 180° , then

7x - 1 + 5x - 23 = 180

12x - 24 = 180 ( add 24 to both sides )

12x = 204 ( divide both sides by 12 )

x = 17

Triangle ACB is the pre-image and triangle DFE is the image. What is the scale factor of the dilation?

Answers

Answer:

½

Step-by-step explanation:

the scale factor of dilation = 6/12 = ½

Cuales son los terminos que siguen en cada sucesion:a)2,4,8,16,32,64,....B)1,3,5,7,9,....C)1,3,6,10,15,21,28,36,45

Answers

Answer:

a) Número siguiente = Número anterior * 2

b) Número siguiente = Número anterior + 2

c) Número siguiente = Número anterior + (n + 1)

Step-by-step explanation:

a) Para la secuencia 2,4,8,16,32,64, ....

El siguiente número es dos veces el número anterior.

Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.

b) Para la secuencia 1,3,5,7,9, ....

El siguiente número es igual al número anterior + 2

Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.

c) Para la secuencia1,3, 6,10,15,21,28,36,45

La diferencia entre los números aumenta en +1.

3-1 = 2

6-3 = 3

10-6 = 4

15-10 = 5

21-15 = 6

28-21 = 7

A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.

Answers

Answer:

Option (1)

Step-by-step explanation:

Equation of the given wave function,

f(x) = acos(bx)

Here, a = amplitude of the wave

Period of the wave = [tex]\frac{2\pi }{B}[/tex]

From the graph attached,

Amplitude = [tex]\frac{4-(-4)}{2}[/tex]

                 = [tex]\frac{4+4}{2}[/tex]

                 = 4

Period of the wave = π - 0

                                = π

From the formula of the period,

Period = [tex]\frac{2\pi }{b}[/tex]

[tex]\pi =\frac{2\pi }{b}[/tex]

b = 2

Therefore, a = 4 and b = 2.

Option (1) will be the answer.

write an equation for the sentence: the sum of six and twice a number is equal to sixteen minus the number.
URGENT! ONLY HAVE 5 MINUTES!

Answers

Answer:

6+2x=16-x.

Step-by-step explanation:

X will represent the missing number. Sum means 6, twice that number means multiply it by two, equal represents =, minus represents this, therefor the equation 6+2x=16-x represents the correct answer.

No files just type it in

Answers

( 3 × 5 ) + ( 2 × 4 ) =

15 + 8 = $ 23

( 3x + 1 ) ( x - 4 ) - ( x + 2 ) ( x - 3 ) = ( 2x + 5 ) x
Giúp tớ tính với

Answers

[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]

[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]

[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]

[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]

[tex] ➺\: - 15x = - 2\\[/tex]

[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]

[tex]➺ \: x = \frac{2}{15}\\ [/tex]

[tex] ➺\: x = 0.1333[/tex]

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]

log base 16 of 256 -log base 16 of 16

Answers

Answer:

What’s the question

Step-by-step explanation:

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