Calculate the perimeter of a square
of area 36cm² Show all your working.
help please!!!

Answers

Answer 1

The perimeter of a square having area of 36[tex]cm^{2}[/tex] is equal to 24cm

Square of area A= 36[tex]cm^{2}[/tex]

We know that a square is a quadrilateral( a closed figure with four sides) with all 4 sides equal in length. Let the measure of one side of a square be x. from the formula to find out the area of a square we know that

Area of a square A = [tex]x^{2}[/tex]

∴From the data given in the problem

[tex]x^{2}[/tex] = 36

⇒x = √36

⇒x = 6

∴The measure of one side of a square = x cm = 6 cm

We know that the perimeter of a square = x+x+x+x = 4x

∴The perimeter of the given square = 4x = 4 × 6 = 24cm

Hence we get by solving as done above that for a square of area 36cm^2

the perimeter of the square is 24cm

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Related Questions

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Brianna is very good at keeping her school binder organized. Every time her teacher returns
an assignment, Brianna puts it in the right section. Brianna has 113 assignments in the
history, science, and art sections combined. The rest of her assignments are in the math
section. Brianna has 182 assignments in total.
Use an equation to find the number of assignments in the math section of Brianna's binder.
assignments
You

Answers

The number of mathematics assignments are 69.

How to form an equation?

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). When attempting to solve systems involving two linear equations, this form is also quite helpful.

Given : Brianna has 113 assignments in history, science and art.

Let x be the number of assignments that are in math section. There are 182 assignments in total.

The equation to represent this is

113 + x = 182

x = 182 - 113 = 69.

So the number of math assignments are 69.

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Need help with math question ​

Answers

Answer:

3/2

Step-by-step explanation:

XY/Z

-2×-3/4

6/4

3/2

it’s 3 over 2



-2x-3=6/4 divide both sides by 2 and u get 3/2

find the edge length of a cube whose volume is 1.728cubic cm is the edge length a rational number ​

Answers

The edge lengths of a cube that has a 1.728 cm³ volume is 1.2 cm

What is the volume of a cube?

The volume of a cube is the given by the length of one edge raised to the power of 3

The volume of a cube, V = Length, L × Width, W × Height, H

Given that the lengths of the edges of a cube are equal, we have!

Length, L = Width, W = Height, H

Which gives;

The volume of a cube, V = L × L × L = L³

Therefore, for the given cube, we have;

L³ = 1.728 cm³

1.728 = 1728/1000

(a + b)³ = a³ + 3•a²•b + 3•a•b² + b³

Taking a = 10, and b = 3, we have;

(10 + 2)³ = 10³ + 3×10²×2 + 3×10×2² + 2³ = 1728

Therefore;

1728/1000 = (10 + 2)³/10³ = 12³/10³

Which gives;

L³ = 12³/10³

[tex] \displaystyle {L = \sqrt[3]{ \frac{{12}^{3} }{ {10}^{3} } } = 1.2}[/tex]

The edge lengths of the cube, L = 1.2 cm

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1 The parent function f(x) = x was shifted
7 units down to create function b. Which
represents function?
A
b(x) = -7f(x)
B b(x) = f(x) - 7
C
b(x) = f(x + 7)
D
b(x) = 7-f(x)
What is the answer ?

Answers

The answer is b(x)=f(x)-7, which is option B.

The function that represents the new function b will be b(x) = f(x) - 7. Then the correct option is B.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The parent linear function is given below.

f(x) = x

The function is shifted downward direction by 7 units. Then the function b(x) will be given as,

b(x) = f(x) - 7

The function that represents the new function b will be b(x) = f(x) - 7. Then the correct option is B.

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-3( v + 2) - 2v simplify use distributive property

Answers

NOTE -3 MUST MULTIPLY EVERYTHING IN THE BRACKETS.

[tex] = - 3(v) - 3(2) - 2v \\ = - 3v - 6 - 2v \\ = - 3v - 2v - 6 \\ = - 5v - 6[/tex]

GOODLUCK.

7y - 14 factor please ..

Answers

Answer:

2

Step-by-step explanation:

7y-14=0

7y=14

7y/7=14/7

y=2

2 × 10 + 8 × 1 + 1 × 0.1 unit form

Answers

Answer: 20 x 1 x 0.1 + 8 + 1

              2 + 8 = 10

help ASAP we have to show out work

Answers

Answer:

1st[tex]7532 + 100y ^{2} + 100y^{2} - 1100[/tex]

2nd

[tex]200y ^{2} + 6432[/tex]

final answer

[tex]a = 200[/tex]

[tex]b = 6432[/tex]

The wheel chair ramp at a local arena has a ramp length of 20 feet and a rise of 17 inches. What angle does the ramp make with the sidewalk? Round to the nearest tenth of degree.

Answers

Answer:

58.2 degrees

Explanation:

The given problem is illustrated using the diagram below:

The angle the ramp makes with the sidewalk is labeled x above.

Using trigonometry:

[tex]\begin{gathered} \sin x=\frac{17}{20} \\ x=\arcsin (\frac{17}{20}) \\ x=58.2\degree \end{gathered}[/tex]

The angle the ramp makes with the sidewalk is 58.2 degrees.

Jenna is now x years old and Amy is 3 years younger than Jenna. In terms of x, how old will Amy be in 4 years?

Answers

Answer:

x-3+4 = x+1

Step-by-step explanation:

x-3+4 = x+1.

Answer the following given the arithmetic sequence -55, -47, -39, -31.
Write the general term (aka the rule) for the nth term of this sequence. (Simplify [Distribute and Combine] the arithmetic sequence formula).
f(n) =
15th term =

Answers

Answer:

f(n)=8n-63

15th term=57

Step-by-step explanation:

goes up by 8 each time therefore the coefficient of n is 8

take for example the 1st term,8n would be 8, to get to -55 from 8 you would have to subtract 63, therefore the nth term is 8n-63.

What is an equation of the line that passes through the point (-1, 5) and is parallel
to the line x - y = 6?

Answers

Answer:

Step-by-step explanation:

An equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .What is the Point-slope form?The equation of the straight line has its slope and given point.If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equationy-y₁ = m(x-x₁)Which is the required equation of a line in a point-slope form.WE havex + y = 6y = - x + 6Slope= -1Now, Use the same slope since the two lines are parallel to each other.Point-slope formula:y - 8 = -1 (x - - 4)y - 8 = -1 (x + 4)y - 8 + 8 = -x - 4 + 8y = - x + 4 (Slope-intercept form)Hence, an equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .Learn more about slope here: brainly.com/question/2503591#SPJ2

⇒Parallel lines have equal gradients . It means that to obtain the gradient of the new equation we should first find the gradient of the given equation by writing the given equation in the form y=mx+c

[tex]x-y=6\\y=x-6[/tex]

⇒The gradient of the given equation is 1 as we know that the gradient of the equation is the coefficient of the variable x

This means the equation of the new equation is also going to be 1 since I explained above why.   to find the value of c in the new equation we will substitute the known values in the general equation including the point.

[tex]5=1(-1)+c\\6=-1+c\\c=5+1\\c=6[/tex]

This means that the new equation is going to be:

[tex]y=x+6[/tex]

If X=[tex]\frac{2a+3}{3a-2}[/tex] ,express [tex]\frac{x-1}{2x+1}[/tex] in terms of a

Answers

Expressing [tex]\frac{x-1}{2x+1}[/tex]  in terms of a gives [tex]\frac{5-a}{7a+4}[/tex]

How to write the given expression in terms of a

Given that:

[tex]x=\frac{2a+3}{3a-2}[/tex]

[tex]\frac{x-1}{2x+1}[/tex]

The Knowledge required here is substitution, the value of x is given. Substitute [tex]x=\frac{2a+3}{3a-2}[/tex] in any place x is seen in the numerator and the denominator.

The numerator

x - 1

substituting the value of x

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

[tex]\frac{(2a+3)-(3a-2)}{3a-2}[/tex]

[tex]\frac{2a+3-3a+2}{3a-2}[/tex]

[tex]\frac{5-a}{3a-2}[/tex]

The denominator

2x + 1

substituting the value of x

[tex]2*\frac{2a+3}{3a-2} +1[/tex]

[tex]\frac{4a+6}{3a-2} +1[/tex]

[tex]\frac{(4a+6)+(3a-2)}{3a-2}[/tex]

[tex]\frac{7a+4}{3a-2}[/tex]

combining the fraction

Here the numerator and the denominator is brought together and division of fraction is used to solve

[tex]\frac{\frac{5-a}{3a-2}}{\frac{7a+4}{3a-2}}[/tex]

[tex]\frac{5-a}{3a-2}}*\frac{3a-2}{7a+4}[/tex]

[tex]\frac{5-a}{7a+4}[/tex]

Using substitution as required, then expressing the equation in terms of a gives [tex]\frac{5-a}{7a+4}[/tex]

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Graph the function 6=3y

Answers

this is the answer to your question

22 is what percent of 110?

Answers

Answer:

22 is 20% of 110

Step-by-step explanation:

22 of 110 can be written as:22/110To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100                        22/110 * 100/100=[22*100] /110 *1/100=20/100Therefore, the answer is 20%
22 is 20% of 110 :) hope this helped

suppose that a certain college class contains students. of these, are juniors, are chemistry majors, and are neither. a student is selected at random from the class. (a) what is the probability that the student is both a junior and a chemistry major? (b) given that the student selected is a junior, what is the probability that she is also a chemistry major?

Answers

The answer will be .25 and .25 for both set of question. using probablity.

What is Probability ?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.

Total number of students =1-juniors+chemistry+neither+both

(a) For both a junior and chemistry major =1/4 =. 25

(b) probability that she is also a chemistry major will be 1/4 =. 25

Hence The answer for the above two set of qustion will be .25 and .25.

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please help me to find x,y and z​

Answers

Z = 35, X = 120, y = 35

Find the missing angle.

Answers

Answer:

110 degrees?

Step-by-step explanation:

35+35= 70 right?

So then would have to subtract the 70 from 180  because that is total length of an angle to get 110 degrees

110 degrees

I might be wrong, because it might be different with triangles

Answer:

U = 110

Step-by-step explanation:

The formula for finding missing angle is.

a + b + c = 180   or in this case   S + U + T = 180.

You already have the measurement of two angles so plug those in.

35 + U + 35 = 180

Now all you have to do is simplify and solve it.

35 + 35 + U = 180  

70 + U = 180   you simplify by adding together 35.

U = 110     to cancel out 70 and isolate U you subtract 70 to both sides.

Trey is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Trey has 49 miles
to his destination after 37 minutes of driving, and he has 37.8 miles to his destination after 51 minutes of driving. How many miles will he have to his
destination after 57 minutes of driving?

distance (in miles)
Driving time(in minutes)

Answers

As per the linear function, the destination after 57 minutes of driving is 1055 miles.

Linear function:

The linear equation is defined as an algebraic equation of the form

y = mx + b.

involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given,

Trey is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes).

Trey has 49 miles to his destination after 37 minutes of driving, and he has 37.8 miles to his destination after 51 minutes of driving.

Here we need to find his destination after 57 minutes of driving.

In this one, first we have to find the linear equation for the situation.

For that, we need the slope and the intercept.

So, here we consider the distance as y axis and the corresponding time as x axis. then we get the points as,

(x1. y1) => (37, 49)

(x2, y2) => (51,37.8)

Then the slope of the line is calculated as,

m = (37.8 - 49) / (51 - 37)

m = -11.2/14

Now, the intercept is calculated using the point (37,49) and the slope m = -11.2/14 is,

49 = -11.2/14(37) + b

686 = -414.4 + b

b = 1100.4

So, the linear equation of the function is

y = -11.2/14x + 1100.4

Here we need to find the distance when the time is 57 minutes,

For that, we have to apply the value of x as 57, to get the value of y,

Therefore,

y = -11.2/14 (57) + 1100.4

y = -45.6 + 1100.4

y = 1055

Therefore, the destination after 57 minutes of driving is 1055 miles.

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Properties of equality can be used to justify steps in solving an equation.

Answers

Equation is 4x-1 =27. that means the correct answer is 27


What is an Equation?

The equals sign is used in mathematical formulas to show that two expressions are equal. In contrast to English, where an equation is defined as any well-formed formula that consists of two expressions joined by the equals sign, French defines an equation as containing one or more variables. The first stage in resolving a variable equation is determining the values of the variables that lead to equality.

Here, 4x-1 =27
We know that x=7
4x=27+1
4x= 28
Therefore x = 28÷4 = 7.
Hence, 4x-1 =27


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Discussion Topic Ratios and rates are ways to relate different quantities. For example, for every 1 car, there are 4 tires. This is a ratio. What other examples of ratios can you think of? A rate is similar to a ratio. Rates usually include the word per. One example of a rate is a car driving 60 miles per hour. What other examples of rates can you come up with?

Answers

Some examples of ratios are:

There are 20 passengers on each bus

There are 2 red and 3 black balls in each box.

Some examples of unit rates are:

The man can run 10 miles in one hour.

I can type 100 words in 30 minutes.

What is ratio and unit rate?

A unit rate means a rate for one of something.

We write this as a ratio with a denominator of one. 

The ratio is the comparison of two quantities of the same units.

We have,

Ratio:

For every 1 car, there are 4 tires.

We can have some examples of ratios as:

1 - There are 20 passengers on each bus

2 - There are 2 red and 3 black balls in each box.

Unit rate:

Car driving 60 miles per hour.

We can have some examples of unit rates:

1 - The man can run 10 miles in one hour.

2 - I can type 100 words in 30 minutes.

Thus,

Some examples of ratios are:

There are 20 passengers on each bus

There are 2 red and 3 black balls in each box.

Some examples of unit rates are:

The man can run 10 miles in one hour.

I can type 100 words in 30 minutes.

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Given the line segment AB with endpoints (-10,0) and (6,8). Find the approximate value of AB, round the answer to the nearest tenth if necessary. Then find the exact coordinates of its midpoint.

Answers

The line segment AB with endpoints (-10,0) and (6,8). The equation of the line segment is x-2y+10=0.

Given that,

The line segment AB with endpoints (-10,0) and (6,8).

We have to find the equation of the line segment.

The equation of the line formula is y-y₁=m(x-x₁).

Here we don't know the m value that is nothing but slope of the line.

First we have to find the slope of the line segment.

Slope of the line m=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m=(8-0)/(6+10)

m=8/16

m=1/2

Now,

We know the equation of line is y-y₁=m(x-x₁)

y-0=1/2(x+10)

2y=x+10

x-2y+10=0

Therefore, The equation of the line segment is x-2y+10=0.

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there are 10 questions on a discrete mathematics exam. how many ways are there to assign scores to the problems if the sum of the scores is 100 and each problem is worth at least 5 points?

Answers

There are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

What is meant by the term combination?A combination is a set of n items taken k at a time with no repetition. The conditions k-selection, k-multiset, and k-combination to repetition are frequently used to refer to combinations wherein repetition is permitted.

In this case, we must employ the combination as well as repetition formula.

C(n + r-1, r) = (n + r -1)!/ r! (n - 1) !

n = 10 is provided (The number of questions)

Every question is worth a minimum of 5 points.

For 10 question = 10×5 = 50 points.

The total are 100 (sum of the scores)

r = 100 - 50

r = 50

Applying the formula.

C(10 + 50 - 1 , 50) = (10 + 50 - 1)!/ 501 (10 - 1)!

C(59, 50) = 59!/50!9!

We get by clarifying the above factorial.

C(59, 50) = 12,565,671,261

Thus, there are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

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e function.
f(x) = -4x² + 3x − 11
Find f(-4)

Answers

Answer:

-87

Step-by-step explanation:

-4x^2 + 3x - 11

-4(-4)^2 + 3(-4) - 11

-4 * 16 + 3(-4) - 11

-4 * 16 - 12 - 11

-64 - 12 - 11

-76 - 11

-87

Hope this helps! :)

Graph this line using the slope
and y-intercept:
y= 1/6x + 4

Answers

Answer: See attached.

Step-by-step explanation:

     To graph this, we will look at the pieces they gave us. Slope-intercept form equations are written in y = mx + b.

   ➜ The slope, m, is the pitch of the line. It's "rise over run" and helps us know where the plot points. For this problem, we will rise one value and move 6 values right to the next point.

     ➜ The y-intercept, b, is where the line intercepts the y-axis. It helps us know where the first point goes (0, y). For this problem, we will graph (0, 4).

     Using these details, we will graph the line. View attached.

Dilations and Partitions
A segment AB is partitioned as shown.
A
P
Complete the statement.

Answers

Answer:

3:7

Step-by-step explanation:

AR has 3 spaces while AB has 7 means its 3:7

Dividing polynomials
(12x5+4x4-24x²-8x) + (3x + 1)

Answers

Answer:

Any quotient of polynomials a(x)/b(x) can be written as q(x)+r(x)/b(x), where the degree of r(x) is less than the degree of b(x). For example, (x²-3x+5)/(x-1) can be written as x-2+3/(x-1).

Please HELP ME!!! due at 8pm tonight 10/12/22

Answers

Answer:

y=2x+4

Step-by-step explanation:

get x is get two point let’s say (-2,0) and (0,4)

The 4-0/0-(-2)=4/2=2 so 2 is x and (0,4) is where it hit the y axis so 4 is b plug in

Y=2x+2

y=-2x+4
If you remove the -2x, y would just equal 4 and on the graph the y axis (vertical axis) the line touches 4 on the y and -2 on the x axis (horizontal line)

Safara wants to rent a bicycle the graph shows the cost for renting a bicycle for different lengths of time. What is the slope of the line?

Answers

The slope of the line will be equal to 30.

Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.

According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).

Now, the slope can be calculated as

m = (60 - 0)/(2 - 0)

=> m = 60/2

=> m = 30 which is the required slope.

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There were 450 travelers on a flight to Orlando, and 80% of them checked luggage. How many travelers checked luggage?

Answers

Answer:

5.625

Step-by-step explanation:

450÷80 I hope I'm right and it helps if not I'm sorry.

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