given a triangle with a perimeter of 56in. we know the first side is 3 inches less than twice the length of the second side, and the third side is 10 inches more than half the length of the second side. if the second side length is h, how long is the longest side? write an equation to solve for the variable.

Answers

Answer 1

Answer:

Side A = 25 in

Side B = 14 in

Side C = 17 in

Step-by-step explanation:

Perimeter of a triangle = 56 in

Side B = x

Side A = 2x - 3

Side C = 1/2x + 10

Perimeter of a triangle = side A + Side B + side C

56 = (2x -3) + x + (1/2x + 10)

56 = 2x - 3 + x + 1/2x + 10

56 + 3 - 10 = 2x + x + 1/2x

49 = 3 1/2x

Note: 3 1/2x = 3.5x

49 = 3.5x

x = 49/3.5

x = 14 in

Side B = x = 14 in

Side A = 2x - 3

= 2(14) - 3

= 28 - 3

= 25 in

Side C = 1/2x + 10

= 1/2(14) + 10

= 7 + 10

= 17 in


Related Questions

x + 3y = 2
-x + 2y = 3
Can somebody help me?

Answers

x = -1 ; y = 1

x + 3y = 2, isolate x by subtracting 3y from both sides. Now that x is alone (because x = -3y + 2) take -3y + 2 and plug it into the second equation.

-(-3y + 2) + 2y =3 ; multiply what’s in the parenthesis by -1. It now is 3y -2 + 2y =3, add the common variables ( 3y + 2y) and you now have 5y-2=3. Move the 2 to the other side by adding it to both sides, you now have 5y=5, divide both sides by 5 and y=1.

Take any equation and plug y in for 1 to get x.

For example, (in the second equation), -x+2(1)=3, multiply 2 by 1 and you’re left with -x+2=3. Subtract 2 on both sides and you have -x=1, now divide both sides by -1 and x=-1.

You can check your work by plugging in the x and/or y values into the equations

the inequality p=4 describes the number of pounds of apples, p, Bill needs when he is making apple strudel? Explain

Answers

Answer:

No, Bill needs more than 4 pounds of apples to make apple strudel.

Step-by-step explanation:

If 4 pounds isn't enough then neither would 3.5. So he need more pounds to make the strudel.

please helppppppppppppppppppppppppppp don't get me wrong

Answers

I think exponential. But I might be wrong.

Evaluate the expression (13 - 2) ^ 2 ÷ 11
What is the value expression?

Answers

Answer:

11

Step-by-step explanation:

(13-2)^2/11

11^2=121

121/11=11

The answer is to this expression is 11

Help pleassssee

An investment of £150 increases by 2.5% each year, for 3 years. Calculate the value of the investment at the end of the period

Answers

150 * 1.25 * 1.25* 1.25 = £292.97
Hope it helps

sam has 4 balls and jose has 6 if sam gives jose 1 of her balls how many does shee have

Answers

Answer:

sam has 3 balls left

Step-by-step explanation:

Answer: she has 3 left

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is FC +32. Convert 87°F to
Celsius. Round to the nearest degree.

Answers

Answer:

31°

Step-by-step explanation:

To convert Fahrenheit to Celsius is C= (F-32) * 5/9

So first do parenthesis 87-32= 55

Next multiply that number by 5/9 which is 30.55555555

Then round your answer = 31°

Which equation yields the solutions x=−2 and x=−10?

Answers

What are the options ..

Options:

A. −x2−2x+35=0

B. 5x2+40x+60=0

C. −4x2+24x−20=0

D. x2+12x+20=0

Answer: its not B

sorry it only let me choose once ttm2021

Find the measure of FEG 25,65,80,90

Answers

Answer:

First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.

5x = 3x+10              The variable should only be on one side of the equation,

5x - 3x = 10             Therefore subtract 3x from both sides

2x = 10                     Divide by 2 on both sides.

x = 5

We're not done yet, since we've found the x-value we have to solve for ∠GEC.

∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°

∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°

90° = 25° + x            In this case, we're using "x" to solve for ∠FEG

90-25 = x                  We subtract 25 from both sides to get the variable by itself.

65° = x

∠FEG = 65°            The Answer is B

Step-by-step explanation:

(3x-5)=16
with working​

Answers

(3x-5)=16
+5. +5
3x=21
divide both sides by 3
x=7

Factor out the gcf

-240c^2+ 30c^5+ 18c^4

Answers

Answer:

6c^2(-40 + 5c^3 + 3c^2)

Step-by-step explanation:

These three terms have the common factor c^2.  Thus:

-240c^2+ 30c^5+ 18c^4 = c^2(-240+ 30c^3+ 18c^2).

Recognizing that 6 is common to all three terms inside the parentheses, we get:

6c^2(-40 + 5c^3 + 3c^2)  This is as far as factoring of this expression can be taken.

3. Select all the situations that can be represented by an exponential function.

1. Jim deposits $1,000 in an account that doubles in value every 7 years.
2. Brian deposits $30 in a savings account. Then he deposits $2 each month for the next 9 months.
3. Leon runs a mile in 8 minutes. Then he runs a mile each day for the next 4 days, reducing his time by 1.5% each day.
3.Cynthia runs a mile in 9 minutes. Then she runs a mile each day for the next 4 days, reducing her time by 6 seconds each
5.Marie deposits $30 in a savings account. Then she makes a deposit each month for the next 9 months, putting in $2 more
deposit

Answers

I think the answer is A, B, and E. I'm not sure if it is 100% correct.

Norma and Albert both clean pools. Each charges a flat fee to clean a pool. Norma cleans 12 pools in 8 hours and earns $270. Albert cleans 9 pools in 7.5 hours and earns $195.75.

Answers

Answer:

Step-by-step explanation:

Noma cleans   12 pools in 8 hours

How many pools in how many minutes?

8 x 60= 480

He cleans 12 pools in 480 minutes

How many minutes does he take to clean a pool?

480/12 = 40

He cleans a pool in 40 minutes.

How much does he earn to clean a pool?

since he cleans 12 pools to earns $270

then 270/12 =22.5

Therefore, he charges $22.5 to clean a pool in 40 minutes.

Albert  9 pools in 7.5 hours

How many pools in how many minutes?

7.5 x 60= 450

He cleans 9 pools in 450 minutes

How many minutes does he take to clean a pool?

450/9 = 50

He cleans a pool in 50 minutes.

How much does he earn to clean a pool?

since he cleans 9 pools to earns $195.75

then 195.75/9 =21.75

Therefore, he charges $21.75 to clean a pool in 50 minutes.

I’ll mark brainliest again to the first answer

Answers

Answer:

Yes i am pretty sure it is 3/5

Step-by-step explanation:

BEcause y is always over x in this kind of math

at the party Adrian will serve each guest 1/8 of a cake he has 3 cake what is the greatest number of guests can Adrian serve ​

Answers

the greatest amount of guest adrian can serve is 24

Chord AC intersects chord BD at point P in circle Z. AP=12 m DP=5 m PC=6 m What is BP?

Answers

Answer:

BP = 14.4

Step-by-step explanation:

Given 2 chords intersecting inside a circle, then

The products of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord, that is

BP × DP = AP × PC , that is

BP × 5 = 12 × 6

5BP = 72 ( divide both sides by 5 )

BP = 14.4

write the following number words in symbols. 1.one hundred twenty-seven thousand, four hundred fifty-nine 2.Two hundred six million, three hundred twenty thousand, ninety-six 3.Three hundred twenty-two and 38 hundredths

Ty<33​

Answers

1) 127,459
2) 206,320,096
3) 322.38

If cos x = -12/13

And csx < 0

Find cot (2x)

Answers

Answer:

csc

x

sin

x

=

1

sin

x

sin

x

=

1

sin

2

x

sin

x

=

cos

2

x

sin

x

=

cos

x

cos

x

sin

x

=

cos

x

cot

x

Step-by-step explanation:

10b + (-45) = -43 b=__

Answers

Answer:

b=1/5

Step-by-step explanation:

10b + (-45) = -43

10b = 2

b = 2/10

b = 1/5

What is the solution?

Answers

Answer:

(1,-1)

Step-by-step explanation:

the solution is where the two lines meet up at and they meet up at (1,-1)

A recipe calls for 12 lb of flour for 1 batch.

Answer each question below and type the answers in the boxes.

1. How many batches can be made with 1 lb of flour?

2. How many batches can be made with 34 lb of flour?

3. How many batches can be made with 14 lb of flour?

Answers

1. 1/12 batches (0.0833333)

2. 2.83333 batches

3. 1.1667 batches

Explanation

1. 1 ÷ 12 = 1/12

2. 34 ÷ 12 = 2.83333

3. 14 ÷ 12 = 1.1667

3x-5y=-9 -4x+6y=10
Con método de suma y resta
Porfa

Answers

10=10=10 x,y ( 155/2 97/2

osea que x = 155/2 yY= 97/2

What is a number that when you multiply it by 0.9 and
subtract 6.3 from the product, you get 4.5?

Answers

0.9x12=10.8,, 10.8-6.3=4.5. The number is 12

The number that when you multiply it by 0.9 and subtract 6.3 from the product, you get 4.5 is 12.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let the number be x.

According to the problem, we have:

0.9x - 6.3 = 4.5

Adding 6.3 to both sides, we get:

0.9x = 10.8

Dividing both sides by 0.9, we get:

x = 12

Therefore,

The number we're looking for is x = 12.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The table below shows all possible outcomes of flipping a coin two times in a row, where H stands for heads and T stands for tails.
Possible
Outcome
Heads/Tails
Combination
HH
HT
2
3
TH
TT
4
Which fraction represents the probability of flipping two tails in a row?

Answers

the answer must be 2/4

2, 5, 25/2...
Find the 10th term.

Answers

Answer:

7629.39453125

Step-by-step explanation:

The formula for the n-th term is:

[tex]k_n = \frac{5^{n-1}}{2^{n-2}}[/tex]

So:

[tex]k_{10} = \frac{5^9}{2^8}[/tex] = 1953125 / 256 = 7629.39453125

Answer:

7629.395 correct answer

PROBABILTIES 20 POINTS!!!!

Answers

Answer:

WHat do you want me to slove?

Step-by-step explanation:

Answer:

u only gave 10

Step-by-step explanation:

graph the linear equation y=2x+3 by making a table​

Answers

Answer:

(-1,1)

(0,3)

(1,5)

(2,7)

could you help me with this question plz

Answers

Answer:

In last year's survey, 10 people asked for a playwriting class.

Step-by-step explanation:

It supports the statement 'a playwriting class would be well attended' because it provides the proof that at least 10 people wanted a playwriting class to be hosted - this data shows a playwriting class would indeed be popular.

Yayayaya yayayaya yayayayay yayayaya yayaya

a cinema has three screens last saturday there were 500 visitors

Answers

Yes very much so good job

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

Therefore, 175 visitors went to screen 3.

Step-by-step explanation:

A school Buys 3 boxes of pencils. each box has an equal number of pencils. There are 4272 pencil altogether. How many pencils are in two boxes.

Answers

1,424 in eachh boxx

Answer:

Each box contains 1424 pencils;

There would be 2848 total pencils in two boxes.

Step-by-step explanation:

1424 x 2 = 2848 pencils

Other Questions
A short-range wireless network is called:cable modemcell sitewi fipersonal digital assistant A certain coin is a circle with diameter 42 mm. What is the exact area of each side of the coin?The exact area of each side of the coin is mm.(Simplify your answer. Type an exact answer in terms of .) Number of liters in 0.50 moles of O2 Which answer shows y + 2x< 4x - 3, rewritten to isolate y, and its graph? PLEASE HELP ME I WILL GIVE BRAINLIEST A limit buy order is an order to buy if the stock price goes ___ a specified level; a stop buy is an order to buy if the stock price goes ___ a specified level; a limit sell is an order to sell if the stock price goes ___ a specified level; a stop loss is an order to sell if the stock price goes ___ a specified level. Read the sentences from "Solar Power for Public Buildings." Today, California can again show its imagination. It can again prove its commitment to progress. It can do something that is both smart and moral. It can continue to lead. How does the author relate the ideas in the sentences? A.With facts and statistics B.With comparisons C.Through cause and effect D.Through parallelism Both passages are best understood in the contextof which of the following?(A) Nationalism was an important factor in theAmerican Revolution.(B) Religion played a prominent role in Enlight-enment-inspired rebellions.(C) Women's rights were a central issue inEnlightenment thought.(D) Enlightenment ideas contributed to theexpansion of rights. 18Write an exponential function to represent the table and give the percentgrowth or decay.(0,40),(1,20),(2,10),(3,5) int iNum = (int) 38.78; 8. Can Sandra claim Debbie as a qualifying relative on her 2019 return? a. Yes, because Debbie lived with Sandra as a member of her household for all of 2019. b. No, because Debbie had gross income of more than $4,200 during the tax year. Need help on this question, please help! The presence of the witches at the beginning of Act 2 helps contribute to the mood of Select from the list below both of the answers that describe the basic differences between the Peloponnesian League (the alliance of Sparta) and the Delian League (the alliance of Athens), which were involved in the Peloponnesian War? Group of answer choicesa.The Delian League placed large burden on its members (financial or military) for the benefit of Athensb.Even though Sparta could act alone still, Sparta's alliance was a formal federation, with a council representing of all the membersc.The Delian League was Macedonian, the Peloponnesian League was Greekd.The Delian League restricted Athens' freedom to act military, but the Peloponnesian League allowed its members to do what it wantede.The Delian League's purpose was to destroy the Persians Elles habitent en France (answer goes here) leur mere travaille a Paris.parce quedoncnipuis 5. Britain agreed to stop fighting the War of 1812 because -A. they had lost 10,000 soldiers in the conflictB. King George III became a Quaker, and therefore no longer believed in warC. America had won every major battleD. they did not want to go further in debt to try and win the war Is either x=5 or x=3 a solution to 11- x BEST ANSWER GETS BRAINLIEST Identify a writing situation in which you might want to use a slow pace. What would you do to create a slow pace? What would be the effect? Your response should be a minimum of 3-5 sentences. (5 points) what does this equal how to make, and put out a fire in the SAFEST way.