Write a simplified expression that represents the perimeter of an irregular quadrilateral with some de lengths (2 1/4t - 5) (4t + 3) (1/2t - 1) (3t + 2)

Answers

Answer 1

Answer:

[tex]Perimeter = \frac{39t-4}{4}[/tex]

Step-by-step explanation:

Given

[tex]Lengths: (2\frac{1}{4}t - 5), (4t + 3), (1/2t - 1), (3t + 2)[/tex]

Required

Determine the perimeter

The perimeter is calculated as the sum of the lengths of the irregular shape.

i.e.

[tex]Perimeter = (2\frac{1}{4}t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)[/tex]

Remove brackets

[tex]Perimeter = 2\frac{1}{4}t - 5 + 4t + 3 + 1/2t - 1 + 3t + 2[/tex]

Collect Like Terms

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t - 5 + 3 - 1 + 2[/tex]

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t -1[/tex]

Convert mixed number to improper fraction.

[tex]Perimeter = \frac{9}{4}t +4t + 1/2t + 3t -1[/tex]

Take LCM

[tex]Perimeter = \frac{9t + 16t + 2t + 12t}{4} -1[/tex]

[tex]Perimeter = \frac{39t}{4} -1[/tex]

Take LCM

[tex]Perimeter = \frac{39t-4}{4}[/tex]  --- The perimeter of the shape

Answer 2

We want to find the perimeter of the irregular quadrilateral given that we know its lengths. By direct computation, we will get:

P(t) = (39/4)*t - 1

Remember that for any figure, the perimeter is defined as the sum of the lengths of each side.

Here we have that the lengths of the four sides of the quadrilateral are:

(2 1/4t - 5)

(4t + 3)

(1/2t - 1)

(3t + 2)

So we must sum that, we will get:

P = (2 1/4t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Notice that in the first part we have a mixed number, we can rewrite it as:

2 + 1/4 = 8/4 + 1/4 = 9/4

Then the sum is:

P = ((9/4)t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Now we simplify this sum:

P = (9/4 + 4 + 1/2 + 3)*t + (-5 + 3 - 1 + 2)

P = (39/4)*t - 1

So the perimeter, as a function of t, is:

P(t) = (39/4)*t - 1

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Related Questions

A proportional relationship can have a negative or positive unit rate.
True or False

Answers

Answer:

true :)

Step-by-step explanation:

hope this helps <3

Solve:
x/2 - 3x/4 = 7/2​

Answers

Answer:

x=-14 is the answer. Hope this helps :)

Answer:

x=-14

Step-by-step explanation:

(x/2)-(3x/4) = (-x/4) = 7/2

-x  =14 (multiply by 4)

x = -14 (multiply by -1)

Hope this helps!

Hey peeps I need help pls! Roger says that 10% of a number will always be less than 25% of any other number.

Complete one inequality to support Roger's claim and one to show that he is incorrect.
PLSSSSSSSSS HELp

Answers

Answer: [tex]0.1x-0.25y<0[/tex]

Step-by-step explanation:

Let the two numbers be x and y

10% of the first number will be;

10% of x

[tex]=\frac{10}{100} of x[/tex]

[tex]=0.1x[/tex]

25% of the other number will be ;

25% of y

[tex]0.25y[/tex]

If 10% of the first number is less than 25% of the other number, this is expressed as;

[tex]0.1x<0.25y[/tex]

[tex]0.1x-0.25y<0[/tex]

Hence the required inequality is [tex]0.1x-0.25y<0[/tex]

PLEASE MARK ME AS BRAINLIEST

helpppppppppppp.......​

Answers

Answer:

Step-by-step explanation:

Addition I think

it is division!!!!!!!!

a girl was asked about her age and she said she is half her mothers age and she was asked how old was her mother and she said i dont know but my mom is 5 years younger than my dad and we asked how old is your dad and she said i dont know but the sum of our ages is equal to 100years.how old is the dad ,the mom and the girl?

Answers

Answer:

The girl is 19 y/o, the mom is 38 y/o and the dad is 43 y/o.

Step-by-step explanation:

26+13+31= 70    NO  

40+20+45= 105   NOT QUITE

19+38+43= 100 YES

Answer:

19 38 and 43

Step-by-step explanation:

Im not sure but hope this helps!! :)

The slope of a roof is called its pitch. The Parthenon,an Ancient Greek temple, has a roof with the rise of 4 m in a run of 12 m. What is the pitch of the roof?

Answers

Answer:

3m

Step-by-step explanation: divide 12m by 4m

how do you solve 4devided by
12

Answers

Answer:

0.33333333

Step-by-step explanation:

4 divided by 12 would be written like this: 4/12

it's always good to simplify if possible, so it should look like this: 1/3

3 which is the denominator would be divided by 10, so 3/10 = 0.33333333

0.33333333 is the answer because the numerator is how many times you multiply it, and 1*0.33333333 = 0.33333333

Sino may Alam dito pasagot Naman po please​

Answers

Answer:

Sorry i dont understand japanese... sorry;-;

Step-by-step explanation:

Guys please little fast! GCF of 39 and 65

Answers

13 my guy I gotcha.

NEED HELP QUICKLY! WILL OFFER BRAINIEST!!

Answers

The answer would be B because that’s what it says on the chart
Sbsnsjkakalaidmdmsmakksksnbxc

do you guys mind helping me with this question

Answers

Answer:

4 and 6

Step-by-step explanation:

Judging by the table and how x = 1 and y = 2, you can estimate that y is twice as much as x.

This is supported by the equation, if you take 2 and multiply it by x (1) and take 3 and multiply it by y (2), then add the 2x1 (2) and 3x2 (6), you should get 8.

In ΔCDE, \text{m}\angle C = (5x+18)^{\circ}m∠C=(5x+18) ∘ , \text{m}\angle D = (3x+2)^{\circ}m∠D=(3x+2) ∘ , and \text{m}\angle E = (x+16)^{\circ}m∠E=(x+16) ∘ . Find \text{m}\angle D.M∠D.

Answers

Answer:

Angle D = m∠D= 50°

Step-by-step explanation:

In ΔCDE we are given: 3 angles

m∠C=(5x+18) ∘

m∠D=(3x+2) ∘

m∠E=(x+16) ∘ .

The sum of angles in a triangle = 180°

Hence:

m∠C + m∠D + m∠E = 180°

(5x+18)° + (3x+2)° + (x+16)° = 180°

5x + 18 + 3x + 2 + x + 16 = 180°

5x + 3x + x + 18 + 2 + 16 = 180°

9x +36= 180°

Subtract 36 from both sides

9x + 36 - 36 = 180° - 36°

9x = 144°

x = 144°/9

x = 16

From the above question, we are asked to find:angle D (m∠D )

Hence:

m∠D=(3x+2)°

m∠D=( 3 × 16 + 2)°

m∠D=(48 + 2)°

m∠D= 50°

Complete the proof. help me answer this please!!

Answers

Answer:

2. Definition of supplementary angles

3. [tex]\angle 1 + \angle 2 = \angle 1 + \angle 3[/tex]

4. [tex]\angle 2 = \angle 3[/tex]

5. Definition of congruent angles

Step-by-step explanation:

Required

Fill in the gaps

1. Given

Supplementary angles: [tex]\angle 1[/tex] and [tex]\angle 2[/tex]

Supplementary angles: [tex]\angle 1[/tex] and [tex]\angle 3[/tex]

2. Supplementary angles add up to 180.

So:

[tex]\angle 1 + \angle 2 = 180[/tex]

[tex]\angle 1 + \angle 3 = 180[/tex]

3. Apply transitive property on (2)

[tex]\angle 1 + \angle 2 = 180[/tex] and [tex]\angle 1 + \angle 3 = 180[/tex], then

[tex]\angle 1 + \angle 2 = \angle 1 + \angle 3[/tex]

4. Subtract [tex]\angle 1[/tex] from both sides

[tex]\angle 1 - \angle 1 + \angle 2 = \angle 1 + \angle 3 - \angle 1[/tex]

[tex]\angle 1 - \angle 1 + \angle 2 = \angle 1 - \angle 1+ \angle 3[/tex]

[tex]\angle 2 = \angle 3[/tex]

This property is called the subtraction property

5. If [tex]\angle 2 = \angle 3[/tex],

Then [tex]\angle 2[/tex] and [tex]\angle 3[/tex] are congruent

A pie shop sold a total of 208 pies one day. The pies were apple, cherry, and blueberry. The ratio
of apple pies sold to cherry pies sold to blueberry pies sold was 6:4:3. How many of each type
were sold?
Plss step by steppp

Answers

Answer:

96 apple pies, 64 cherry pies, and 48 blueberry pies.

Step-by-step explanation:

6 + 4 + 3 = 13, and 208 / 13 = 16. Now multiply each number in the ratio by 16, so 6 x 16 = 96, 4 x 16 = 64, and 3 x 16 = 48. You can check your answer by adding all 3 numbers and making sure it adds up to 208. Hope that helps

Which triangle congruence is this?
SSS
SAS
AAS
ASA
HL

Answers

Aas i belive . If not consult the other answer

A subtract 3g^2 + 5g + 2g - 2 from 6g^2 + 6 - 4g + 2g^2

Answers

1. Collect like terms.

(6g^2+2g^2-3g^2)+(6-2)+(-4g+5g+2g)

2. Simplify

5g^2+4+3g

Sorry i'm hoping that helps, i'm on a school computer i cant see the picture you attached but i did 6g^2 + 6 - 4g + 2g^2 - 3g^2 + 5g + 2g - 2 because that's what it seemed you were asking.

Name 2 inequalities with answers please and Thank you :)

Answers

Answer:

A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

Hope this helped! :}

What is y=x+3

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Answers

Answer:

simplify both sides of the equation and then isolate the variable x=y-3

Hope this helps!

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Answers

The answer is 5x+21 :)

Answer:

the second one and the answer it's : 5x+21

Step-by-step explanation:

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Answers

Answer:

m = 1/2

Step-by-step explanation:

To find the slope, all you have to do is find the rise and divide it by the run. Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point.

You can pick any two points on the line. Let's say I choose (10, 5) and (20, 10).

Let's look at the y coordinates first. You have 5 and 10. To get from 5 to 10,  you have to go up 5 units. Your rise is 5. Let's look at the x coordinates now. To get from 10 to 20, you have to go up 10 units. Your run is 10.

As I said before, the slope is rise/run. In this case, we have 5/10, which can be simplified to 1/2. Your slope is 1/2.

Note that any two points on this would give you the same answer of 1/2 for this line. If I had picked (30, 15) and (70, 35), I would still get 1/2.

Hope this helped!

Answer:

[tex]\displaystyle \frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m[/tex]

* [70, 35] and [80, 40] for instanse

[tex]\displaystyle \frac{-40 + 35}{-80 + 70} = \frac{-5}{-10} = \frac{1}{2}[/tex]

I am joyous to assist you at any time.

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Answers

Answer:

Divide both sides by 2.

I answered this earlier

Why would anyone delete my answer which was correct.

ill help just cal me MAMAS

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Answer:

Bet

Step-by-step explanation:

9/2 divided by 3/4
I’m taking a test rn so please answer

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex]\frac{9}{2}/\frac{3}{4}\\Keep ChangeFlip\\\frac{9}{2}*\frac{4}{3}=\frac{36}{6}=6[/tex]

A side of the triangle below has been extended to form an exterior angle of 145°. Find the value of x.

Answers

Answer:

Step-by-step explanation:

145 = x+90

x=55

I’ll give brainlest if you answer this correctly!

Answers

The answer is the last one y=2.60z+180

y = 2/3x - 3 as a function

Answers

Answer:

∫(x) = [tex]\frac{2}{3}[/tex]x - 3

Answer:

f(x)=2/3x-3

Step-by-step explanation:

f(x) is the same as y, so the function would be f(x)=2/3x-3.

Hope this helps! :)

Please help me!! 15 pts and Brainliest!

Question and graph is in image, thanks and please answer correctly!

Answers

Answer:

the measure of angle sbt is 95 degrees

Step-by-step explanation:

50+35=85

180-85+95

Software on your computer is taking a long time to load. What could help solve this problem? Close and reopen the program. Delete the program from the computer. Open a different program instead. Select the program icon again.

Answers

Answer: I think is close and reopen the program

Step-by-step explanation:

The option for problem is Close and reopen the program.

What is software?

Software is a set of instructions for a computer to follow. The entirety of a computer system's programs, procedures, and routines are referred to as software. The term was developed to distinguish these instructions from hardware—for example, a computer system's physical components.  A software program is a set of instructions that tell a computer's hardware how to do something.

System software and application software are the two most common types of software. A computer's internal operation is primarily controlled by an operating system, but system software also controls monitors, printers, and storage devices.

Given Software on computer is taking a long time to load,

There are a few simple solutions for programs that take a long time to open:

Restart your computer, Scan for viruses and malware with Windows Defender or another antivirus program. Use System File Checker to fix the slowness. And Close and reopen the program.

Hence Verify that each and every option for utilizing the software is functional,  Close and reopen the program.

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2. Hudson and 7 of his friends found a bag of pennies. There were 320
pennies, which they shared equally. How many pennies did each person
get?

Answers

Answer:

each person gets 40 pennies.

Step-by-step explanation:

Hudson AND 7 = 8

320 ÷ 8 = 40

Each person gets 40 pennies.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Each person gets 40 pennies.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Hudson and 7 of his friends found a bag of pennies.

Total pennies= 320

So, Pennie get by each

=320 ÷ 8

= 40

Hence, Each person gets 40 pennies.

Learn more about Unitary Method here:

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Evaluate the expression c^2 + a if a = 1/2 and c = 9.

Answers

Answer:

81 1/2

Step-by-step explanation:

We plug a and c in to get: 9^2+1/2

9^2=81 and 81+1/2 is 81 1/2

Plug in the values
9^2 + 1/2
81 + 1/2 = 81.5
Solution: 81.5
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