Ella is trying to determine the side lengths of a triangle. She knows that the longest side is three times longer than the shortest side. The medium side is ten more than twice the shortest side. If the perimeter is 142 cm, how long is each side?

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Answer 1

Answer:

Step-by-step explanation:

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The perimeter of the triangle is 6a + 3 units. Write an expression in simplest form for the length of Side 3.

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The length of the third side is a-2.

Given that:

Perimeter of triangle: 6a + 3

Length of first side: 2(a+3)

Length of second side: 3a -1

Let the length of the third side of the triangle be x.

Then as perimeter of a triangle is sum of lengths of all 3 sides of the triangle, thus we have:

Thus we have length of the third side as a -2.


Related Questions

You fill a large water tank with 3400 gallons of water. About 10% of the water is not fresh water. How many gallons of fresh water are in the tank?

Answers

Answer:

There is only 340 gallons of fresh water

Step-by-step explanation:

giving the reason that all you have to do is divided by 10 to get you answer for percentage

If you want to find 1 percent then you divided the number by 100 and you get 1 percent

Please consider brainliest for this answer for it is correct Thank you!

<3

solve for t in the proportions

t/3 = 5/1

t= ?

Answers

Answer:

t = 15

Step-by-step explanation:

[tex] = > \frac{t}{3} = \frac{5}{1} [/tex]

On cross multiplication,

[tex] = > t \times 1 = 5 \times 3 \\ = > t = 15[/tex]

Hope you've understood the solution.

Answer:

[tex]\boxed{\sf{t=15}}[/tex]

Step-by-step explanation:

In proportions, you need to isolate t on one side of the equation.

Given:

[tex]\sf{\dfrac{t}{3}=\dfrac{5}{1} }[/tex]

[tex]\Longrightarrow: \sf{\dfrac{t}{3}=5}[/tex]

First, multiply by 3 from both sides.

[tex]\sf{\dfrac{3t}{3}=5*3}[/tex]

Solve.

Multiply the numbers from left to right.

5*3=15

Solutions:

[tex]\Longrightarrow: \boxed{\sf{t=15}}[/tex]

Therefore, the final answer is t=15.

I hope this helps. Let me know if you have any questions.

what power is perimeter measured in

Answers

Answer:

Any powers or units. Such as Cm, M or KM, or even mm

please mark me as brainliest thank you

solve the following system of equations.

y=x+4
2x+y=13

Answers

Answer:

(3,7)

Step-by-step explanation:

First, substitute for y. Simplify.

2x+(x+4)=13

3x+4=13

3x=9

x=3

Input the value for x into either of the equations.

y=3+4

y=7

(3,7)

Hope this helps!

When Mai turned 21, she invested $2000 in an Individual Retirement Account (IRA) that has grown at a rate of 10% compounded annually. If the account continues to grow at that rate, what will be its value when Mai turns 25?​

Answers

well, Mai is 21 today and when she's 25 is 4 years from now, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000\left(1+\frac{0.10}{1}\right)^{1\cdot 4}\implies A=2000(1.1)^4\implies A=2928.2[/tex]

List the factors
of 38.

Is this number
prime or
composite?

Answers

Answer:

Composite number

Step-by-step explanation:

Prime numbers are whole numbers that have 2 factors of 1 and itself.Composite numbers are whole numbers that have factors of more than two factors. They can also be found by multiplying two or more smaller numbers.

Factors of 38:

1 * 38

2 * 19

1, 2, 19, 38

Therefore, 38 is not a prime, but rather a composite number.

Hope this helps!

Subtract 16 from me , subtract 6 , then divide by 4 , you get -5 what number am I ?

Answers

Answer: 2
Explanation: 2-16=-14
-14-6=-20
-20 / 4= -5

What are the values of a and b in the relative frequency table for the survey results? round answers to the nearest percent. a = 33%, b = 73% a = 68%, b = 43% a = 25%, b = 32% a = 33%, b = 43%

Answers

The values of a and b are 33% and 42.7% respectively.

Calculations and Parameters:

Given:

The number of students that like blue uniform is only as 32,

The number of students that like gold uniform is only as 25,

The number of students that like blue and gold uniforms is 12

The number of students that like neither blue nor gold uniform as 6.

Then, the total number of students interviewed are 75 students.

The relative frequency of the students who like blue is 25, therefore,

25/75= 1/3= 0.33

= 33%

The relative frequency of the students that like blue but not gold is 32, therefore,

32/75= 0.427

=42.7%

Read more about frequency tables here:

https://brainly.com/question/4231235

Need number 6
20 points!!!!!

Answers

Not math but American settlers were only in east so I. Check the section to see what area.

Write a polynomial that represents the area of the figure below:

Answers

Answer:

2x²+2x+5

Step-by-step explanation:

Since the area of a square is a² (where a is the length of one of its sides) we'll have:

(x—1)(x—1)+(x+2)(x+2) = (2x+1)+(+4x+4) = 2x²+2x+5

So write the answer as: 2, 2 and 5

Can someone please give me the (Answers) to this? ... please ...

I need help….

Answers

Step-by-step explanation:

1.

that creates a right-angled triangle :

the string is the Hypotenuse (the baseline, which is the side opposite of the 90° angle).

the invisible "line" from the kite straight down to the ground is one leg. and we need that length.

and the invisible "line" on the ground between the point where Brian is standing, and the point, where the : line: coming down from the kite hits the ground, is the second leg.

the angle between both legs is 90°.

so, we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the associated angles are always opposite of each other.

in our case, the Hypotenuse (the string) is opposite of 90°.

and the angle opposite of the kite height line is the designated angle of elevation at the point, where Brian is standing : 70°.

so, we have here

65/sin(90) = height/sin(70)

height = 65×sin(70)/sin(90)

sin(90) = 1

height = 65×sin(70) = 61.08002035... m

2.

another right-angled triangle.

what is not clear to me : what does "distance from plane to building" mean ?

is it really the line of sight from the plane in the air to the building in the ground ? which is the Hypotenuse of that triangle.

or is it the ground distance (from the point where the height line hits the ground to the building) ? which is also the air distance (parallel line to the ground distance up in the air with the plane).

remember, the sum of all angles in a triangle is always 180°.

per law of sine we have

height/ sin(28) = line of sight / sin(90) =

= air (or ground) distance / sin(180-28-90)

1200/sin(28) = line of sight / 1 =

= air distance / sin(62)

line of sight (if that is what we need) =

= 1200/sin(28) = 2,556.065362... m

air distance = 1200×sin(62)/sin(28) = 2,256.871758... m

3.

another right-angled triangle.

the Hypotenuse is the line of sight from the point 12 ft away in the ground to the top of the pole.

the ground distance (12 ft) is one leg.

the pole (and its height) is the second leg.

so, we have our law of sine

height/sin(53) = line of sight / sin(90) =

= ground distance / sin(180-53-90)

we need the height, so

height/sin(53) = ground distance / sin(37)

height = 12×sin(53)/sin(37) = 15.92453786... ft

What is the slope-intercept equation of the line that contains the points (0, 3) and (1, 1)?

Answers

Answer:

y = - 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (1, 1 )

m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 2x + 3 ← equation of line

What is the value of x?

Answers

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

x = 30°

Step-by-step explanation:

As the angle of 85° measure and the angle of (3x-5)° are vertical opposite angles, the measure of both the angles will be equal so...

(3x-5)° = 85°

3x = 85 + 5

3x = 90

x = 90/3

x = 30

So x is 30°

Let's recheck.

3x-5

(3 × 30) - 5

90 - 5

85°

Hence, the value of x = 30°

solve equation using any method

Answers

Answer:

see below

Step-by-step explanation:

-2x^2-3=11

add three

-2x^2=14

divide by 2

x^2=7

whats the numerator for the following rational expression 3/k + 4/k =?\k

Answers

Answer:

7

Step-by-step explanation:

3+4 as the denoninators are the same

Answer:

[tex]\Longrightarrow: \boxed{\sf{\dfrac{7}{k} }}[/tex]

Step-by-step explanation:

You have to find the numerator number by adding it to the denominator.

[tex]:\Longrightarrow \sf{\dfrac{3}{k}+\dfrac{4}{k}=\dfrac{?}{k} }[/tex]

[tex]\Longrightarrow: \sf{\dfrac{3+4}{k}}[/tex]

First, add the numbers from left to right.

[tex]\sf{\dfrac{3+4}{k}=\boxed{\sf{\dfrac{7}{k}}}[/tex]

Therefore, the correct answer is 7/k.

I hope this helps, let me know if you have any questions.

Attempt is being made of canvas. The tent is 8 ft wide, 6 ft tall and 7 ft in length. Determine the amount of canvas needed to make the tent. If the canvas cell for $0. 75 per square foot, what will it cost to purchase the canvas?

Answers

Answer: 336

Step-by-step explanation:

Calculate the volume with length and breadth and height 8 × 6 × 7

Keller wants to give his friend 2 books. He can choose books on subjects from fiction, history, computers, science, general knowledge, and art. How many combinations of 2 different subjects are possible?

8
15
12
30

Answers

Answer:

15

Step-by-step explanation:

Pat, Jo, Al, Dan

Pat, Al, Dan, Jo

Pat, Dan, Jo, Al

Pat, Jo, Dan, Al

Pat, Al, Jo, Dan

Pat, Dan, Al, Jo List all permutations beginning with Pat.

Jo, Al, Dan, Pat

Jo, Dan, Pat, Al

Jo, Pat, Al, Dan

Jo, Al, Pat, Dan

Jo, Dan, Al, Pat

Jo, Pat, Dan, Al List all permutations beginning with Jo.

Al, Dan, Pat, Jo

Al, Pat, Jo, Dan

Al, Jo, Dan, Pat

Al, Pat, Dan, Jo

Al, Dan Jo, Pat

Al, Jo, Pat, Dan List all permutations beginning with Al.

Dan, Pat, Jo, Al

Dan, Jo, Al, Pat

Dan, Al, Pat, Jo

Dan, Jo, Pat, Al

Dan, Pat, Al, Jo

Dan, Al, Jo, Pat List all permutation beginning with Dan.

There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.

Which services would an organization accepting charitable donations provide? choose three answers. planning a blood drive providing financial aid for college students giving payouts from increased sales to owners sponsoring animal rescue efforts after fires increasing investment values for shareholders

Answers

The services that an organization accepting charitable donations would provide are; A, B, D

What are uses of charitable donations?

An organization that accepts charitable donations is classified as a non-profit organization.

A non - profit organization is simply a group that works in order to help with a particular cause and it uses its earnings to work for this goal instead of profit making or sharing the money to its' members.

From the given options, the services that an organization accepting charitable donations provide are:

Planning a blood drive.Providing financial aid for college students.Sponsoring animal rescue efforts after fires.

Read more about Charitable donations at; https://brainly.com/question/13940953

Answer:

A B D

Step-by-step explanation:

98% on the exam and 100% on exam review

What is the product of 4/5•2/5

Answers

Answer:

8/5

Step-by-step explanation:

You multiply the numerators and divide by the denominator as long as they have the same one.

Answer:

8/5 - 1 3/5

Step-by-step explanation:

You just multiply the Numerators

Then Simplify

The more of this there is, the less you see. What am I?

Answers

Answer: Darkness

Step-by-step explanation: If there is more darkness you will be able to see less so ya

pls help this assignment is due tomorrow!!!! square root of 144x^3

Answers

Answer:

Step-by-step explanation:

First take the square root of the first number 144, then take the square root of your variable x^3

your final answer should be 12x^(3/2)

What is 100 to the 3rd power

Answers

2,500
i hope this helps>,

Which could be a step used when solving the equation 5x+10=7.5x?

Answers

Answer:

Putting all the x's to one side.

Step-by-step explanation:

By doing this, you would get:

10 = 2.5x

so,

4 = x

Answer:

We subtract 5x from both sides

Step-by-step explanation:

Step 1:  Subtract 5x from both sides

[tex]5x + 10 = 7.5x[/tex]

[tex]10 + 5x - 5x = 7.5x - 5x[/tex]

[tex]10 = 2.5x[/tex]

Step 2:  Divide both sides by 2.5

[tex]\frac{10}{2.5} = \frac{2.5x}{2.5}[/tex]

[tex]4 = x[/tex]

Answer:  We subtract 5x from both sides

a tax that is collected by a company based on sales of products or services

Answers

A Jew on juice and H

Brainliest for you if you answer!

Answers

To find the constant of proportionality:

  ⇒ must define constant of proportionality

    ⇒ Constant of Proportionality:  ratio of two proportional values at a

       constant value

       ⇒ (in this case) two proportional values are x and y

The ratio between x and y is equal to

  [tex]\frac{y}{x} =\frac{66}{1.2}=55[/tex]

Answer: 55 or Choice 1

Hope that helps!

I need to know the answer to the equation.

Answers

Answer:

A. i think so..

Step-by-step explanation:

A.should be there

Katrina drinks 0.5 gallons of water per day which shows how to find the number of cups of water she drinks in a week

Answers

Answer:

if she does so multiply by seven to get final answer

Answer:

56 cups per week

Step-by-step explanation:

there is 16 cups of water in a gallon

.5 gallon x 7days = 3.5 gallons

3.5 gallons  *  16 cups/ gallon = 56 cups per week

In how many ways can she grab 3 Snickers, 2 Starbursts, and 2 Reese's?

Answers

Answer:

Bro in one way she can grab

Mr.Hawkins is covering a wall with wallpaper. The rectangular wall measure 14 feet by 12 feet. each square foot of wallpaper cost $2.90. Find the cost of covering the wall with wallpaper

Answers

Answer:

$57.93

Step-by-step explanation:

14 x 12 = 168

168/2.9

- 46 = -5(3 – b) + 6
b=
Help! Please

Answers

Answer:

7 2/5 and/or -37/5

Step-by-step explanation:

It can also be 7.04 also

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