The ratio of the perimeter of a square to the length of a rectangle is 5:6.
The ratio of the length to the width of the rectangle is 3:2.
The perimeter of a rectangle is 60cm.
Find the area of the square.​

Answers

Answer 1

Answer:

=225/16cm^2

Step-by-step explanation:

Given

The ratio of the length to the width of the rectangle =3:2.

The perimeter of a rectangle = 60cm.

Solution

Let length=3x

width=2x

Perimeter of rectangle=2(length + width)

2(3x+2x)=60

5x*2=60

10X=60

X=60/10

X=6

SO LENGTH =3×6=18cm

WIDTH=2×6

=12cm

Let perimeter of the square=5x

Length of rectangle=6x

6x = 18

X=18/6

X=3

SO PERIMETER OF SQUARE=5×3

4SIDE=15

Side=15/4

Area of square=15/4×15/4

=225/16cm^2


Related Questions

if -13x-71=201 what is x

Answers

Answer:

272/-13 or −20.923

Step-by-step explanation:

To solve this equation you need to isolate the variable.

First, add 71 to both sides

-13x-71+71=201+71

-13x=272

Then, divide both sides by -13

-13x/-13=272/-13

So, x=272/-13 or −20.923

Which one is correct?

Answers

Answer:

7

Step-by-step explanation:

Proprtion is 1:3

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:7

Step-by-step explanation:

there all is divided by three for the smaller triangles

Which expressions give the monthly pay of an employee with 33 hours of training

Answers

Answer:

A-33(PAY) OR 33(P)

B-33 x pay or 33 x p

C-hours(33)or H(33)

D-pay(33) or p(33)

its D is correct hope this helps

The quotient of a number and -7 is 8. What is the number?​

Answers

Answer:

-56

Step-by-step explanation:

-56/-7 =8

It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200

Answers

Answer:

300+200

Step-by-step explanation:

did not give a equation

Answer:

300 + 200x

Step-by-step explanation:

200 is the one that's changing so it has the x.

I need help ion fully know what to do

Answers

For the first half; 2 is corresponding, 3 is alternate interior, 4 is alternate exterior, 5 is corresponding and 6 is alternate interior. As for the second half; 7 is 55 degrees, 8 is 145 degrees, 9 is 35 degrees, and 10 is 55 degrees.

Which expression is equivalent to 4k+2k?

Answers

Answer:

it equals 6k but an equivalent expression could be 2k + 4k

Step-by-step explanation:

2k + 4k = 4k + 2k

Answer:

6k

Step-by-step explanation:

You can combine both of these terms because they both have the same variable (k). We know that 4+2=6, and the variable stays the same, 6k.

~theLocoCoco

You move left 3 units. You end at -4, -3. Where did you start?

Answers

Answer:

(-4+3, -3) = (-1,-3)

Step-by-step explanation:

Which ordered pair is a solution to the equation y= 6x - 2?
(1,0)
(5, 28)
(6, 20)
(3, 19)

Answers

Answer:

(5, 28)

Step-by-step explanation:

y= 6x - 2

Verifying pairs:

(1,0)

0 = 6*1 - 20 = 4 - incorrect

(5, 28)

28 = 6*5 - 228 = 30 -228 = 28 - correct

(6, 20)

20 = 6*6 - 220 = 36 - 220 = 34 - incorrect

(3, 19)

19 = 6*3 - 219 = 18 - 219 = 16 - incorrect

Which of the following numbers can be expressed as repeating decimals? (5 points)

3 over 7 , 2 over 5 , 3 over 4 , 2 over 9 How can 38 over 6 be expressed as a decimal?

Answers

9514 1404 393

Answer:

  Repeating decimals:

3/72/9

  38/6 = 6.3_3   (repeating 3)

Step-by-step explanation:

  [tex]\dfrac{3}{7}=0.\overline{428571} \quad\text{repea}\text{ting decimal}\\\\\dfrac{2}{5}=0.4\\\\\dfrac{3}{4}=0.75\\\\\dfrac{2}{9}=0.\overline{2}\quad\text{repea}\text{ting decimal}[/tex]

The improper fraction 38/6 = 19/3 = 6 1/3. As a decimal, this is ...

  [tex]\dfrac{19}{3}=6.\overline{3}\quad\text{repea}\text{ting decimal}[/tex]

_____

The repeating part of a decimal fraction is conventionally written with an overbar, as shown in the typeset content above. In plain text, it is sometimes written with an underscore preceding the repeating digits.

HURRY UP IF YOU ANSWER THIS QUESTION CORRECT I WILL NAME YOU BRAINLY WHAT IS 129 SQUARED

Answers

Answer:

11.3

Step-by-step explanation:

Answer:

16641

Step-by-step explanation:

129 x 129=16641

HTH :)

A square plot of land will be fully used for a square swimming pool with a 5 foot wide walkway around it. The area of the entire plot, including the walkway, is A square feet. Which expression gives the length of the pool?

Answers

Answer:

The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5

Step-by-step explanation:

Assume that the length of the pool is x feet

∵ The length of the pool is x feet

∵ The wide of the walkway around the pool is 5 feet

∴ The total length of the pool with the walkway = (x + 5) feet

∵ The area of the entire plot, including the walkway, is A square feet

∴ The area of the entire plot, including the walkway = A feet²

∵ The area of the square = (length)²

→ Substitute the length by (x + 5)

∴ The area of the entire plot, including the walkway = (x + 5)² feet²

→ Equate it by A

A = (x + 5)²

→ To find x take square root for both sides

∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]

→ Cancel the square root of the right side by power 2

∴ [tex]\sqrt{A}[/tex] = x + 5

→ Subtract 5 from both sides

∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5

∴  [tex]\sqrt{A}[/tex] - 5 = x

→ x represents the length of the pool

∴ The length of the pool is  [tex]\sqrt{A}[/tex] - 5 feet

The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5

The length of the pool will be √A-10.

What is area?

Area is defined as the total space taken up by a flat surface or shape of an object.

Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.

The area of a square is side².

Let the side of the walkway be (x+10)

A =  (x+10)²

√A = x+10

x = √A-10

Hence, The length of the pool will be √A-10.

Learn more about area;

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Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.

1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)

Answers

Answer:

Explanation:

1.
f(x) + g(x)
= (7x - 2) + (-x + 4)
= 7x - 2 - x + 4
= 6x + 2

2.
f(x) + h(x)
= (7x - 2) + (-4x + 1)
= 7x - 2 - 4x + 1
= 3x - 1

3.
h(x) + g(x)
= (-4x + 1) + (-x + 4)
= -4x + 1 - x + 4
= -5x + 5

4.
f(x) - g(x)
= (7x - 2) - (-x + 4)
= 7x - 2 + x - 4
= 8x - 6

5.
h(x) - f(x)
= (-4x + 1) - (7x - 2)
= -4x + 1 - 7x + 2
= -11x + 3

6.
g(x) - h(x)
= (-x + 4) - (-4x + 1)
= -x + 4 + 4x - 1
= 3x + 3

Please do quick
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.

20% tip on a bill of $59.82

Answers

Answer:

$12

Explanation: 60 x .2= 12 + 60= $72

There are 7 girls in a bus. Each has 7 backpacks. In each backpack, there are 7 big cats. For every big cat, there are 7 little cats. How many legs are there in the bus?

Answers

Answer:

10,990 legs

Step-by-step explanation:

There are 7 girls in the bus

= 7 × 2 = 14 legs

Each bag pack there are 7 big cats

= 7 × 7 × 7 × 4= 1372 legs

For every big cats there are 7 small cars

= 7×7×7×7×4= 9,604 cats

Therefore the total legs in the bus can be calculated as follows

= 14 +1372+9604

= 10,990 legs

Hence there are 10,990 legs in the bus

If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?​

Answers

Answer:

Please read the explanied answer below.

Step-by-step explanation:

As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]

We also know that a regular polygon has all the angles equal and all sides have the same length.

As we know:

Exterior angle = 360° ÷ No. of sides

When the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.

For example:

In terms of a triangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 3 = 120°

In terms of a rectangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 4 = 90°

and in the same way

360° ÷ 5 = 72 °

360° ÷ 6 = 60 °

360° ÷ 8 = 45 °

360° ÷ 9 = 40°

and so on.

I hope it may have solved your query.

At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students was taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?

Answers

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m

Answers

Answer:

D

Step-by-step explanation:

[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]

[tex]c = \sqrt{36 + 64} [/tex]

[tex]c = \sqrt{100 } [/tex]

[tex]c = 10[/tex]

Pythagorean theorem

Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2

Answers

1.) 20x
2.) 1y
3.)-2t
4.)3n
5.)17w^2

If 2a = 3b, and 4a - 7 = 2b + 9. what is the value of a?

Answers

Answer:

1.5

Step-by-step explanation:

What is the measure of \large \angle V?

Answers

Answer:

THe interior angles of any triangle equal 180

THerefore 48+87+v=180

48+87+v=180

87+v=132

v=45

Step-by-step explanation:

A negative multiplied/divided by a negative (same signs) equals a _

positive

negative

Answers

Answer:

When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.

Step-by-step explanation:

Multiply out 3(2x-7)

Answers

Answer:

6x-21

Step-by-step explanation:

3*2x = 6x

3*-7 = -21

6x-21

The answer is 6x-21, multiply the equation with distributive property

Factor the GCF: −14y2 + 12y − 22

Answers

Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).

Step-by-step explanation:

ap calc multiple choice question; attached below
please explain how, please!

Answers

Answer:

C. [tex]\frac{f(b)-f(1)}{b-1}=20[/tex]

General Formulas and Concepts:

Calculus

Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that  [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]MVT is also Average Value

Step-by-step explanation:

Step 1: Define

[tex]f(x)=e^{2x}[/tex]

f'(c) = 20

Interval [1, b]

Step 2: Check/Identify

Function [1, b] is continuous.

Derivative [1, b] is continuous.

∴ There exists a c∈[1, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]

Step 3: Mean Value Theorem

Substitute:                    [tex]20=\frac{ f(b)-f(1)}{b-1}[/tex]Rewrite:                        [tex]\frac{ f(b)-f(1)}{b-1}=20[/tex]

And we have our final answer!

the question is on then sheet ​

Answers

Answer:

6[tex]m^{2}[/tex][tex]n^{2}[/tex]-4mn+6

Step-by-step explanation:

PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!!

[tex] = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)[/tex]

[tex] = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17[/tex]

[tex] = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)[/tex]

[tex] = 6 {m}^{2} {n}^{2} + 8mn - 28[/tex]

The other person is wrong

I can say that for sure.

if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)

Answers

Hello!

[tex]\large\boxed{f(x) = 3x - 28}[/tex]

If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):

f(x) = (3x - 18) - 10

Simplify:

f(x) = 3x - 28

Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?

Answers

Answer 50 is the answer have a good day

Answer:

50 ribbons

Step-by-step explanation:

To find how many ribbons she can make, divide 32 by 0.64:

32/0.64

= 50

So, she can make 50 ribbons from her roll

A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is the length?

Answers

Answer:

Length = 12

Step-by-step explanation:

L × W = Area

84 / 7 = 12

12 × 7 = 84

The required length of the given rectangular garden is given as 12 feet.

Given that,
A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is length is to be determined.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

here,
Let the measure of the length of the rectangular garden be l,
Since,
Area of the rectangle  = length × width

Area of the rectangle = l × 7
l × 7 = 84
l = 84 / 7
l = 12 feet

Thus, the required length of the given rectangular garden is given as 12 feet.

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What is the inequality for the graph [-7,3], [0,-4]

Answers

Answer:

[45]

Is the answer................

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