!!!!5 step plan!!!!!

The width of a rectangle is 5 cm more than twice the length the perimeter is 56 cm find the dimensions of the rectangle

Answers

Answer 1

Answer:  W = 20 1/3, L = 7 2/3 cm

Step-by-step explanation:

Width, W, is 5 cm more than twice the length of the perimeter.

Perimeter = 2W + 2L

W = 2L+5

Perimeter is 56cm:

56 cm = 2W + 2L

Substitute W = 2L + 5 for W:

56 cm = 2W + 2L

56 cm = 2(2L+5) + 2L

56 cm = 4L + 10 + 2L

6L = 46 cm

L = 7 2/3 cm

Since W = 2L + 5

W = 2(7 2/3) + 5

W = 2 (23/3) + 5

W = 46/3 + 5

W = 15 1/3 + 5

W = 20 1/3

2W + 2L = P?

2(20 1/3) + 2(7 2/3) =56 ?

40 2/3 + 15 1/3 = 56?

56 = 56  YES


Related Questions

A wire bent in the form of a semi circle encloses an area of 7700cm2. If the same wire is bent into a square, calculate the area enclosed by the square

please hurry and answer fast..thank uuu so much

Answers

Answer: 8100 cm2

Step-by-step explanation:

First find radius

Area of semi circle = Pi*r2 / 2

7700 = 22/7 * r2/2

r2 = 7700 * 7 * 2 / 22

r2 = 700 * 7

r = square root of 7*7*10*10 ( I converted 700 into simpler numbers)

r = 7 x 10

r = 70 cm

Perimeter = r(Pi + 2)

= 70 ( 22/7 + 14/7)

= 70 * 36/7

= 360 cm

Let us take side of square as “x”

4x = 360

x = 360 / 4

x = 90

Area of square = side * side

= 90 * 90

= 8100 cm2

A semicircle is simply the half of a complete circle, and it can be gotten by dividing the circle through its center into equal halves.

The area of the enclosed square wire is 3025 square meters

The given parameters are:

[tex]\mathbf{Area= 7700cm^2}[/tex]

The area of a semicircle is

[tex]\mathbf{Area= \frac{\pi r^2}{2}}[/tex]

Substitute 7700 for Area

[tex]\mathbf{\frac{\pi r^2}{2} = 7700}[/tex]

Express pi as 22/7

[tex]\mathbf{\frac{22 \times r^2}{7 \times 2} = 7700}[/tex]

Divide through by 22

[tex]\mathbf{\frac{r^2}{7 \times 2} = 350}[/tex]

Multiply both sides by 14

[tex]\mathbf{r^2 = 4900}[/tex]

Take square roots of both sides

[tex]\mathbf{r = 70}[/tex]

Next, calculate the circumference of the semicircle

[tex]\mathbf{C = \pi r}[/tex]

So, we have:

[tex]\mathbf{C = \frac{22}{7} \times 70}[/tex]

[tex]\mathbf{C = 220}[/tex]

This means that the length of the wire is 220 meters.

This also represents the perimeter of the square.

The perimeter of the square is calculated using:

[tex]\mathbf{P = 4L}[/tex]

Where L represents the side length

So, we have:

[tex]\mathbf{4L = 220}[/tex]

Divide both sides by 4

[tex]\mathbf{L = 55}[/tex]

The area of the enclosed square is then calculated using:

[tex]\mathbf{Area = L^2}[/tex]

So, we have:

[tex]\mathbf{Area = 55^2}[/tex]

Evaluate the square

[tex]\mathbf{Area = 3025}[/tex]

Hence, the area of the enclosed square wire is 3025 square meters

Read more about areas at:

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The hypotenuse of a right triangle measures 9 cm and one of its legs measures 4 cm. Find the measure of the other leg.

Answers

Answer:

The other leg is √65 cm

Step-by-step explanation:

Hi there!

We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm

We want to find the measure of the other leg

In right triangles, we can use the  theorem to find the value of a side, if we know the lengths of the other two sides

The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse

If we say a is 4 and c is 9, then the equation will look like this:

(4)²+b²=(9)²

Raise each number to the second power

16 + b²= 81

Subtract 16 from both sides

b²=65

Take the square root of 65

b=√65, -√65

-√65 is not an applicable root for this problem, since distance cannot be negative

Hence, our answer is √65 cm

Hope this helps!

Which product is represented by the hundredths grid A. 0.5 X 0.02 = 0.01

B. 5 X 0.2=1

C. 0.5 X 0.2 = 0.1

D. 0.05 X 0.02 = 0.001

Answers

Answer:

The product of A would be the answer

13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)

Answers

Answer:

use the Microsoft world language to define noun phrases and figure of speech

pls help ill give brainliest

Answers


All angles inside of the traingle add up to 180. So 180-(117+42)=21.

I'll mark brainliest if your right! please help me!!!!

Answers

Answer:

its 3 and 5

Step-by-step explanation:

i know this because i took the quiz and its simple

PLEASE HELP NEED TO GET THIS RIGHT WILL GIVE BRAINLIEST

Answers

Answer:

27 / 4x^6y^8.

Step-by-step explanation:

= 4 * 3^3 x^6 y^12 / 16 x^12 y^20

= 4*27 / 16 x^6y^8

= 4*27/ x^6y^8

= 27 / 4x^6y^8

can someone help me please.​

Answers

Answer:

B, or second answer choice

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

y - 1/3 = 3/4 (x - 4)

B

are c and d the correct answer for this question?

Answers

Answer:

A E

Step-by-step explanation:

A => 10/4 = 5/2

B => 4/2 = 2

C => 2/5

D => here y is less than x

E => 10/4 = 5/2

Consider the line y = 3/5x + 4.

Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)

Answers

Answer:

y=3/5x + 2

Step-by-step explanation:

y-(-1)=3/5(x-(-5))

y+1=3/5(x+5)

5y+5=3x+15

5y=3x+10

y=3/5x+2

is h correct? someone help

Answers

Answer:

No The correct Answer is "G"

Step-by-step explanation:

First lets find 300% as a number which is 3 ok so now

increase 10 by 300%

so 100%+300%=400%

and half of 400 which is 200%

so H is no correct g is

Serena needs ribbon
for an art project. The cost of the ribbon is 5 feet for $3.00.

Feet of Ribbon 1 5 10 15

Cost (in dollars) $3.00

a. Complete this ratio chart based on the information provided.

b. How many feet of ribbon can Serena buy for $12.00?

c. If Serena needs 17 feet of ribbon, how much will she pay? How do you know?

Answers

Answer:

(can't answer a since the ratio chart is incomprehensible through text)

b. 20 feet of ribbon for $12.00

12 / 3 = 4

5 x 4 = 20

c. 17 feet of ribbon for $10.20

find unit rate (cost / quantity)

3 / 5 = $0.60 per feet

0.60 x 17 = 10.2


Do you know what the variables could be

Answers

Answer:

5, 7, and 12

Step-by-step explanation:

First we can make and equation

x + z + y = 24

we can plug in the numbers you gave us giving us

y = x + z

z = y - x

x = (y - 2) ÷ 2

Once, were done we get that x = 5 ≈ smallest number

z = 7 ≈ second largest number

y = 12 ≈ largest number

Can someone help me?​

Answers

Answer:

  CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

  CM = MD

  8(x -2) = 4(5x -16)

  2(x -2) = 5x -16 . . . . . . divide by 4

  2x -4 = 5x -16 . . . . . . . eliminate parentheses

  12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

  4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

  CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

  8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."

1) Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n) es A) machinery lubricant. B) heat insulator in a home. internal combustion engine fuel. D) electrical conductor in a computer circuit.​

Answers

The given properties would be most useful as a machinery lubricant.

How to identify properties of chemical substances?

We are given the chemical and physical properties of the unknown substance as follows;

High viscosity at higher temperaturesUnreactive with other substancesLiquid at high temperaturesOrganic compoundPoor conductor of electricity

Now, some of the properties of machinery lubricants are;

A high boiling point and low freezing point (in order to stay liquid within a wide range of temperature)A high viscosity index.Thermal stability.Hydraulic stability.Demulsibility.Corrosion prevention.A high resistance to oxidation.

These properties of Machinery Lubricants are same as the given properties. Thus, we conclude that the properties would be most useful as a machinery lubricant.

Read more about chemical substance properties at; https://brainly.com/question/672293

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Complete question is;

High viscosity at higher temperatures

unreactive with other substances

liquid at high temperatures

organic compound

poor conductor of electricity

Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n)

A) machinery lubricant.

B) heat insulator in a home.

C) internal combustion engine fuel.

D) electrical conductor in a computer circuit.

I need help getting the answer to this -71+blank=21

Answers

Answer:

It is Positive 92

Step-by-step explanation:

-71 + 92 = 21

A hot air balloon leaves the ground and ascends at a rate of 5 feet per minute for 4 minutes.

Then descends at a rate of 2 feet per minute for 7 minutes. How far above the ground is the

balloon now?

Answers

When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.

20 - 14 = 6 feet

This means that the balloon is now 6 feet above the ground.

I hope I've helped! :)

Choose the correct definition of
(2)
from below.
A.
kI
n!(n – kỳ!
B.
n!
(n-k)!
C.
!
k!(n-k)!
D.
n!
K!(K-n)!

Answers

Answer:

Answer is C noumber

Step-by-step explanation:

We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).

The formula for the number of combinations of n things taken r at a time is given by :-

C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=

k!(n−k)!

n!

Hence, C is the right option.

Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.

Answers

Answer:

Step-by-step explanation:

PLEASE HELP!!! I need help, I don't understand please help me!!!!

Answers

Answer:

2.5

Step-by-step explanation:

Length of CB is 5

so we can take CF which is the midpoint and divide that by 2 since its split

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

f(x) = 6x – 1
f(x) = 8x – 6
f(x) = 4x – 14
f(x) = 4x – 10

Answers

Answer:

483/798-5458+7429=19035674846 :))

Step-by-step explanation:

A city council acquired 3,437.5 acres of land to add to their park system. The city plans to divide the acreage evenly into 22 separate parks.
There will be ___ acres in each park.

please help

Answers

there will b 156.2 acres in each park. hope this helps!!

Francis graphs the system of equations to determine its solution.


3x+2y=12
3x−y=3


What is the correct solution?


Enter your answer by filling in the boxes.

Answers

Answer:

Step-by-step explanation:

3x+2y=12   x= −2/ 3 y+4

3x-y=3    x= 1 /3 y+1

i hope this helps in anyway :/

The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

What is a Linear Equation?

If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given that the system of linear equations;

3x + 2y = 12 and 3x − y = 3 is

Solving the equations by elimination, we get

x = 2 and y = 3

Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

For more reference on Linear Equation, click;

https://brainly.com/question/13738061

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A cyclist travels 122.5 km in 2 hours. Calculate his speed. *


61.25 km/hr
.016 km/hr
65 km/hr

Answers

Answer:

61.25

Step-by-step explanation:

speed = distance / time

speed = 122.5 km / 2 hour

= 61.25

pls help me with this question

Answers

I think
n = - 8/3
Decimal Form:
n = - 2.6
Mixed Number Form:
n = - 2 2/3


Help Please please please

Answers

The answer is b
…………….

PLEASE HELPPPPPPPPPPPPPP

Answers

Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4

Answers

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

(EDITED) Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

What is the image of M(11,-4) using the translation (x,y)->(x-17,y+2?

Answers

Answer:

(-6, -2)

Step-by-step explanation:

Find the slope
Answers:
Question 1 options:

-3


3


-2

Answers

Answer:

b

Step-by-step explanation:

Answer is 3 I think
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