Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4m and 2.5m. Also find the perimeter of the square.

Answers

Answer 1

Answer:

side: 4 metres

perimeter: 16 metres

Step-by-step explanation:

Let's first find the area of this rectangle.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width. Here, the length is l = 6.4 and the width is w = 2.5. Plug these in:

A = lw

A = 6.4 * 2.5 = 16 metres squared

We want to find the side of a square with area 16. Suppose the side length is x. The area of a square is denoted by A = x * x = x², so set this equal to 16:

x² = 16

x = √16 = 4

Thus, the side length is 4 metres.

The perimeter of a square is denoted by P = 4s, where s is the side length.

Here the side length is 4 metres, as we found, so:

P = 4s = 4 * 4 = 16

Hence the perimeter is 16 metres.


Related Questions

a man earns $140 in a 5 day week. what is his pay in 3 days?

Answers

Answer:

$84

Step-by-step explanation:

divide 140 by the five days and you get 28 then you multiple it by the 3 days and you get $84

His pay for 3 days would be $84.

To find the man's pay for 3 days, we can use the concept of proportionality. Since the man earns $140 in a 5-day week, we can calculate his daily earnings by dividing the weekly earnings by the number of days in the week:

Daily earnings = Weekly earnings / Number of days in the week

Daily earnings = $140 / 5 days

Now, let's calculate the daily earnings:

Daily earnings = $140 / 5 days = $28 per day

Therefore, the man's pay for 3 days would be:

Pay for 3 days = Daily earnings * Number of days

Pay for 3 days = $28 * 3 days = $84

His pay for 3 days would be $84.

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The sum of twice a number and seven is 13. Find the number.

Answers

Answer:

The answer is 3

Step-by-step explanation:

Let the number be x

The statement

twice a number is written as

2x

The sum of twice a number and seven is written as

2x + 7

The result is 13

So we have

2x + 7 = 13

Subtract 7 from both sides

That's

2x + 7 - 7 = 13 - 7

2x = 6

Divide both sides by 2

That's

[tex] \frac{2x}{2} = \frac{6}{2} [/tex]

We have the final answer as

x = 3

Hope this helps you

The edge of a cube whose volume is 8x cube is

Answers

Answer:

24

Step-by-step explanation:

Edge of a cube is 2x whose volume is 8x^3

Given

Volume of a cube is [tex]8x^3[/tex]

we need to find the edge length of the cube

the volume of cube formula is [tex]side^3[/tex]

[tex]a^3=8x^3\\\\\\a^3=2^3x^3\\a^3=(2x)^3\\take \; cuberoot \; \\a=2x[/tex]

So the side length of the cube is 2x

Edge of a cube is 2x  whose volume is 8x^3

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Create two groups of cards with the SAME SUM using as many cards as possible using the numbers 8 7 6 2 1 3.​

Answers

Answer:

Explained below.

Step-by-step explanation:

In this case we need to form two group of cards (consisting of any number of cards) having the same sum using the cards numbered as 8, 7, 6, 2, 1, 3.​

The possible groups are as follows:

Group 1               Group 2                    Sum

{8, 1}                      {7, 2}                         9

{8, 2}                     {7, 3}                         10

{8, 3}                     {7, 3, 1}                      11

{8, 1, 3}                  {7, 3, 2}                     12

{8, 2, 3}                 {7, 2, 1, 3}                  13

{8, 3, 2, 1}              {7, 6, 1}                      14

And so on.

PLEASE HELP ME ASAP!!!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS

Answers

Answer:

b  > 250/9 and w ≥ 0

Step-by-step explanation:

7/9 (b - 27) > 49/81

First, simplify both sides of the inequality:

7/9b - 21 > 49/81

Add 21 to both sides

7/9b - 21 +21 > 49/81 +21

Multiply both sides by 9/7

9/7 x 7/9b > 49/81 x 9/7

b > 1750/81

Simplify

b > 250/9

11w - 8w ≥ 14w

Simplify both sides once again

3w ≥ 14w

Subtract 14w from both sides

3w - 14w ≥ 14w - 14w

-11w ≥ 0

Divide both sides by -11w

w ≥ 0

Answer:

4. 7/9 (b - 27) > 49/81

=> 7/9b - 21 > 49/81

=> 7/9b - 21 > 7/9

=> 7/9b -21 + 21 > 7/9 + 21

=> 7/9b > 7/9 + 189/9

=> 7/9b > 196/9

=> 7/9b / 7/9 > 196/9 / 7/9

=> To divide fractions, take the reciprocal of the divisor fraction and then multiply.

=> b > 196/9 x 9/7

=> b > 1764 / 63

=> b > 28

4th answer is b > 28

5. This question doesn't make any sense.

=> 11w - 8w greater or equal to 14w

=> 3w greater or equal to 14w.

If we make "w" as any number, this equation will not come true as 14 is larger than 3.

This answer may be correct the equation is like:

3w is smaller or equal to 14w.

Which equations are correct?
Select each correct answer.
3y3(-4y2 + 1) = –12y6 + 3y3
-36(2b + 1) = -6b6 – 365
4m8 (-2m – 3) = -8m10 – 12m8
–2x²(3x3 – 5) = -6x5 + 10x2

Answers

Answer:

-2x^2(3x^3-5)=-6x^5+10x^2

-3b^5(2b+1)=-6b^6-3b^5

Which answer choice is a coefficient in the expression shown below?
2-x

Answers

Answer:

Coefficents of 2-x: 2, -1.

The answer is 2 or -1, but I don't have choices.

Answer:

-1

Step-by-step explanation:

The coefficient is the number in front of the variable along with the sign

2 + -1x

The coefficient is -1

Andrea ran 4 a miles on
Saturday and 5 miles I
on Sunday. How many
miles did she run in all?

Answers

Answer:9

Step-by-step explanation:5+4=9

The answer to this equation is 9. If you add it up then you’ll find your answer . 4+5=9

How to find the solution for 3x-11=x+3 ?​

Answers

Answer:

7

3 times ? - 11

=

? + 3

? = 7

Step-by-step explanation:

3 times 7 is 21 -11 is 10

7+3 is 10

Both equations has to make 10 so it is the answer of 7

Hope this helps :)

Answer:

[tex]\boxed{x=7 }[/tex]

Step-by-step explanation:

3x - 11 = x + 3

→ Minus x from both sides to isolate the 'x's

2x - 11 = 3

→ Add 11 to both sides to isolate 2x

2x = 14

→ Divide both sides 2 to isolate x

x = 7

What is the measure of X

Answers

Answer:

X = 67

Step-by-step explanation:

The triangles' angles are congruent.

So,

J = H

67 = 67

I = K

X = X

Make the angles add

So,

46 + 67 = 113

Subtract from total

180 - 113 = 67

The angle is 67.

Hope this helped,

Kavitha

PLEASE HELP An equation in the form y = mx + b is in standard form. True False

Answers

Answer: False!

This equation is in slope - intercept form, which is used to calculate and graph a line, and/or find the y - intercept and slope of a line. The standard form would be the equation before it was converted into slope - intercept form.

Hope this helps!

Answer:

False

Step-by-step explanation:

The y=mx+b form is called the slope-intercept form.

● m is the slope

● b is the y-intercept

● x is the variable (the input)

● y is the output

Which are rational and irrational? Thanks in advance :)

Answers

Answer:

[tex]3\frac{1}{2}-rational[/tex]

[tex]\pi -irrational[/tex]

[tex]-\frac{2}{3}-rational[/tex]

[tex]\sqrt{16} -rational[/tex]

[tex]\sqrt{3} -irrational[/tex]

[tex]18-rational[/tex]

[tex]0.625-rational[/tex]

[tex]0.987987987...-rational[/tex]

Step-by-step explanation:

Rational numbers:

-are all numbers you can write as a quotient of integers  [tex]\frac{a}{b}[/tex] , [tex]b\neq 0[/tex]

-include terminating decimals. For example, [tex]\frac{1}{8}=0.125[/tex]

-include repeating decimals. For example, [tex]\frac{1}{3} =0.33333....[/tex]

Irrational numbers:

-have decimal representations that neither terminate nor repeat. For example, [tex]\sqrt{2}=1.414213....[/tex]

-cannot be written as quotients of integers

2x² - 7x + 3 = 0 solve the quadratic equations by using the quadratic formula​

Answers

Answer:

  x = 1/2 or 3

Step-by-step explanation:

Compare the given equation to the standard form equation to identify the values of the variables in the formula. Then put those values in the formula and do the arithmetic.

  [tex]ax^2+bx+c=0\\\\2x^2-7x+3=0\\\\a=2;\ b=-7;\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4(2)(3)}}{2(2)}=\dfrac{7\pm\sqrt{25}}{4}=\dfrac{7\pm 5}{4}\\\\x=\left\{\dfrac{1}{2},3\right\}[/tex]

Answer:

x = 3x =1/2

Step-by-step explanation:

[tex]2x^2-7x+3=0\\\\x_1 ,2 =\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=2\\\:b=-7\\,\:c=3\\:\quad x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\=\frac{7+\sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\7+\sqrt{\left(-7\right)^2-4\times\:2\times\:3}=7+\sqrt{25}\\\\=\frac{7+\sqrt{25}}{2\times\:2}\\\\=\frac{7+\sqrt{25}}{4}\\\\\sqrt{25}=5\\\\=\frac{7+5}{4}\\\\=\frac{12}{4}\\\\=3 \\[/tex]

[tex]x=\frac{-\left(-7\right)-\sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\=\frac{7-\sqrt{\left(-7\right)^2-4\times\:2\cdot \:3}}{2\times\:2}\\\\7-\sqrt{\left(-7\right)^2-4\times \:2\times\:3}=7-\sqrt{25}\\\\=\frac{7-\sqrt{25}}{2\times \:2}\\\\=\frac{7-\sqrt{25}}{4}\\\sqrt{25}=5\\\\=\frac{7-5}{4}\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]

Help me pleaseee. :)

Answers

Answer:

Answer attached below

Since there are no common factors, the only common factor for he eqaution is  1

(✿◡‿◡)

Which expression could represent the height of a soccer ball as it is in the air after being kicked?
O 9t2 + 25t
0 - 16t? 25t + 1
0 - 16t² + 4
0-160 +9​

Answers

Answer:

this type of motion is represented by a downward facing parabola which would be choice b

Step-by-step explanation:

hope this helps

cual es la respuesta de (-12) + 7=​

Answers

Answer:

-5

Step-by-step explanation:

-12 + 7 = -5

Answer:

(-12) + 7 = -5

La respuesta de (-12) + 7 es -5

Espero eso ayude.

can someone please help me . first question .

Answers

Answer:

y = -x + 12

Step-by-step explanation:

2x + 2y = 24

divide all by 2

x + y = 12

y = -x + 12

(2 1/9)(-11/6)
what’s the answer?

Answers

Answer:

54 EVEN GREATER

Step-by-step explanation:

Answer:

[tex]-\frac{209}{54}[/tex]

Step-by-step explanation:

Turn 2 1/9 into a mixed number. 2 × 9 = 18, 18 + 1 = 19. The mixed number would be [tex]\frac{19}{9}[/tex].  Plug 19/9 in: (19/9)(-11/6)19/9 × -11/6 = -209/54

Therefore, the answer is -209/54.

Find the area the sector. A. 38π in² B. 1083π4 in² C. 57π4 in² D. 1083π8 in²

Answers

Answer:

[tex]A=135.37\ \text{inch}^2[/tex]

Step-by-step explanation:

Given that,

Radius of circle, r = 19 inch

Angle with sector, [tex]\theta=135^{\circ}[/tex]

We need to find the area of the sector.

The formula is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{135}{360}\times \pi (19)^2\\\\A=135.37\ \text{inch}^2[/tex]

So, the area of the sector is [tex]135.37\ \text{inch}^2[/tex].

Solve for x. 3+5x=-27 Simplify your answer as much as possible.

Answers

Answer:

x=-6

Step-by-step explanation:

5x+3=−27

Subtract 3 from both sides.

5x=−27−3

Subtract 3 from −27

5x=−30

Divide both sides by 5.

x=30/5

Divide −30 by 5

x=−6

Answer: -6

Step-by-step explanation:

  3+5x=-27

3+5x-3=-27-3 ⇔ subtraction property of equality

      5x=-30 ⇔ simplify

  5x/5=-30/5 ⇔ division property of equality

        x=-6 ⇔ answer

Hope this helps!! :)

The two interior angles on one lateral face of a pyramid-shaped
paperweight measure 35° each. What is the measure of the unknown
angle?

Answers

Answer:

Option (B)

Step-by-step explanation:

From the property of a triangle,

Sum of all interior angles of the triangle is 180°

By applying this property in the given triangle IHK,

m∠HIK + m∠IKH + m∠KHI = 180°

m∠HIK + 35° + 35° = 180°

m∠HIK = 180° - 70°

            = 110°

Therefore, measure of the unknown angle of the given triangle is 110°.

Option (B) will be the answer.

Answer:

As eudora states: B).110 is the correct answer.

You are in the pit crew for a driver at a Nascar race. The gas weighs 5.92 pounds
per gallon. Your driver uses 0.25 gallon per lap. With 42 laps to go, you put
60 pounds of fuel in the tank of the car. Will your driver finish the race at the same
rate without more gas? Explain.

Answers

Answer:

plz give the ques properly

A ∩ ∅ = A
Is this true or false?????????

Answers

Answer:

It's True!

Step-by-step explanation:

Iv'e taken a class on that.

Answer:

False

Step-by-step explanation:

Intersection of a set A with empty set is an empty set. So the answer is False.

A ∩ ∅=∅ there are no elements in the empty set, none of the elements in A are also in the empty set, so the intersection is empty. Hence the intersection of any set and an empty set is an empty set.

expand and simplify 3(2x-1) +2(2x+5)

Answers

Answer:

10x + 7

Step-by-step explanation:

First expand by distributing the 3 and the 2 on the outside of both parentheses:

3(2x-1) + 2(2x+5) becomes

(6x - 3) + (4x + 10)

Then combine like terms (6x + 4x and -3 + 10) to simplify:

6x + 4x - 3 + 10 = 10x + 7

Write an algebraic expression for four times the
square of n.

Answers

Answer:

4n^2

Step-by-step explanation:

n to the power of 2 (squared), multiplied by 4

[tex]4n^{2}[/tex]

An algebraic expression is one that is constructed using integer constants, variables, and algebraic operations.

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, is a basic algebraic operation.

Square of [tex]n=n^{2}[/tex]

Four times the square of [tex]n^{2}[/tex] is equal to [tex]4n^{2}[/tex]

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what is the lcm of 48​

Answers

Answer:

4 is the lcm if you forgot the space in 4 and 8

Step-by-step explanation:

answer: 4 is the answer when 4 and 8 are are not together

Find the perimeter. (attachment included)

Answers

Answer:

5 + 2[tex]\sqrt{11}[/tex]

Step-by-step explanation:

5 + [tex]\sqrt{11}[/tex] - [tex]\sqrt{5}[/tex] + [tex]\sqrt{11}[/tex] + [tex]\sqrt{5}[/tex]

5 + 2[tex]\sqrt{11}[/tex] -  [tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex]

5 + 2[tex]\sqrt{11}[/tex]

A scuba diver used the expression below to describe his position in relation to sea level. 2 + (negative 20) + 8 Which statement could describe the diver's movements?

Answers

Answer:

i'm pretty sure its D (not sure btw)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Took the test ;)

Solve for x.
3(2x + 5) = 33

Answers

Answer:

x = 3

Step-by-step explanation:

3(2x + 5) = 33

3 * 2x + 3 * 5 = 33

6x + 15 = 33

6x = 33 - 15

x = 18 / 6

x = 3

Which expressions are equivalent to x7? There may be more than one correct answer. Select all that apply. (x21)1/3 x^15/x^8 x^21⋅x^13 x^3/x^4 x^15⋅x^8 x^3⋅x^4

Answers

Answer:

x^15/x^8 = x^7

x^3⋅x^4 = x^7

(x^21)1/3 = x^7

Step-by-step explanation:

The equivalent expressions of expression x⁷ are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression x⁷.

To find the equivalent expressions:

(1).

(x²¹)¹/³

Simplifying,

= ∛(x⁷)³

= x⁷

This is an equivalent expression of expression x⁷.

(2).

x¹⁵/x⁸

Simplifying,

= x⁸⁺⁷/x⁸

= x⁷

This is an equivalent expression of expression x⁷.

(3).

x¹³ / x²¹

Simplifying,

= x¹³/x¹³⁺x⁸

= 1/ x⁸

This is not an equivalent expression of expression x⁷.

(4).

x³ / x⁴

Simplifying,

= 1/ x

This is not an equivalent expression of expression x⁷.

(5).

x¹⁵ x⁸

Simplifying,

= x²¹

This is not an equivalent expression of expression x⁷.

(6).

x³x⁴

Simplifying,

= x⁷

This is an equivalent expression of expression x⁷.

Therefore, the equivalent expressions are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.

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