A triangle has a perimeter of 51 cm. If the three sides of the triangle are n, 4n-4, and 4n-8, what is the length of each side?

Answers

Answer 1

Answer:

7,24,20

Step-by-step explanation:

The perimeter is simply the lengths of the sides, added up
n+4n-4+4n-8=9n-12=51 cm
9n=51+12
9n=63
n=7

plug in 7 for n to get:
7,4*7-4,4*7-8
or
7,24,20


Related Questions

PLSSSSSSSSSSSSS HELPPPPPPPPPPPPPPP

Answers

number one is c
number two is a
number three is d

what is the area of the figure

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area is enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

If P is the incenter of triangle JKL, find PJ

Answers

If P is the incenter of ΔJKL, then we have,
PN = PM = PO


To find PJ first we need to calculate the value of x
Since,

PN = 22
So,
PM = 22

Now, in ΔPJM we have,

PJ^2 = PM^2 + MJ^2
PJ^2= (22)^2 +(2x+3)^2...(1)

Also, In ΔPJO we have,

PJ^2 = PO^2 + OJ^2
PJ^2 = (22)^2 (5x - 45)^2...(2)

From equation (1) and (2) we obtain,

(5x - 45)^2+(22)^2=(2x+3)^2 +(22)^2
25x^2 — 450x + 2025 = 4x^2 + 12x + 9
25x^2 — 4x^2— 450x — 12x + 2025 — 9 = 0
21x^2 — 462x + 2016 = 0
x^2 - 22x+96 = 0
x^2 — 16x — 6x + 96 = 0
x(x - 16) -6(x - 16) = 0
(x - 6)(x - 16) = 0
Either x=6 or x=16

At x = 6
JO = 5 x 6 - 45
= 30 - 45
= -15

Which cannot be possible because edge length cannot be negative
So the value of x = 16

Hence, the length of PJ is

PJ^2 = 484 + (80 - 45)^2
PJ^2 = 484 + 1225
PJ^2 = 1709
PJ = √1709
PJ = 41.33

Therefore, the length of PJ is 41.3 units



How can you use a
single measure to describe a data set?

Answers

Describing data Often we wish to describe a set of data with a single number, or a small set of numbers, in such a way that these values will yield enough information about the content of the data that we can produce a means of generating a similar set of data from this description.

What is the vertex of f(x)=x2−8x+15 ?

Answers

Answer:

(4,-1)

i strongly believe that is the answer, pls mark as brainlist

Help! I got it wrong the first time

Answers

Answer:

The correct correspondence is B.

the sides of a triangle are 54,31,and 69. use the phone ythagorean theorem to determine if the triangle is right acute or obtuse.

Answers

Answer:

obtuse

Step-by-step explanation:

a² + b² = c²

Let's use the two shorter sides as legs.

a² + b² = 31² + 54² = 961 + 2916 = 3877

c = √3877 = 62.2655...

For the triangle to be a right triangle, the third side would have to have a length of 62.2655. The actual length of the third side is 69. 69 is greater than 62.3, so the angle between the sides 31 and 54 must be greater than 90°. Therefore the triangle is an obtuse triangle.

Mr. Marsh plans to tile the floor in his 6-foot by 8-foot front hall. If each tile is an 8-inch square. what is the minimum number of tiles needed to cover the floor?

Answers

The division is one of the four fundamental arithmetic operations. The number of tiles that will be needed to cover the entire area of the hall is 864.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The area of the hall with dimensions 6 feet by 8 feet are:

[tex]\rm \text{Area of the hall} = 6 feet \times 8foot =48\ feet^2[/tex]

The area of the tile is 8 square inches, therefore, the area of tile in square feet can be written as,

[tex]\rm \text{Area of the tile} = \dfrac8{12 \times 12}\ feet^2[/tex]

Noe, the number of tiles needed to tile the complete area of the hall is,

[tex]\text{Number of tiles needed} = \dfrac{\text{Area of the hall}}{\text{Area of the tile}}\\\\\\\text{Number of tiles needed} = \dfrac{48}{\frac8{12 \times 12}} = \dfrac{48 \times 12 \times 12}{8} = 864[/tex]

Hence, the number of tiles that will be needed to cover the entire area of the hall is 864.

Learn more about Division:

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The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?

Answers

Answer:

a) 35%

b) 6.67%

Step-by-step explanation:

a) The annual number of burglaries in 2012 would be 150% and since in 2013, it fell by 10%:

10% of 150 is 15 so 150-15 = 135%.

The actual percentage increase of burglaries is 135% - 100% = 35% not 40%.

b) In the second year, the percentage would have to decrease by 10% of the initial 150% so [tex]\frac{10}{150}[/tex] = [tex]\frac{1}{15}[/tex] which as a percentage would be 6.66666....% or 6.67%.

The number of burglaries actually changed in the two-year period will be 35% and the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase will be 6.7%

Burglaries

It is act of breaking and entering a dwelling at night to commit a felony such as theft.

How to solve this problem?

The steps are as follow:

Let us assume that the annual number of burglaries in 2011 are 100. After that there is 50% increase in 2012 so the number of burglaries will be: 100(1.50) = 150.Burglaries after the 10% reduction in 2013 would be: 150(.90) = 135So there will be change in burglaries over the two-year period = (135 / 100) - 1 = 35% To know how much burglaries would have to reduce in order to have a 40% change in burglaries we would be using the following formula:

(x - 100) / 100 = 0.40

x - 100 = 40

x = 140

Change in burglaries over the two-year period to have 40% increase = (140 / 150) - 1 = 6.7%

So, burglaries after the 10% reduction in 2013 would be 35% and change in burglaries over the two-year period to have 40% increase will be 6.7%.

Learn more about burglaries here:

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6. A circle has a circumference whose length is 25pi . Find the length of an arc whose
central angle is 90°.

Answers

Answer:

So, A 90° central angle cuts off an arc which has length 90/360 = 1/4 of the circumference. Therefore, length of arc = (1/4)(25π) = 25π/4.

Step-by-step explanation:

espero te sirva

Pls pls pls pls help po

Answers

Answer:

Here I did the working

Explanation:

Just use the formula of parallelogram

Parallelogram*

can anyone help find the area pls ty

Answers

Answer:

53.72

Step-by-step explanation:

apply area of triangle and rectangle and add them

2) Area of Rectangle = L x W
= 10 x 5.9
= 59 km2

4) Area of trapezoid = a+b/2 x h OR 1/2 (a+b)h
= 4.8 + 11/2 x 6.8
= 53.72 in2

find the mean, median and mode of the following data set: 8, 12, 15, 3, 7, 10, 15

Answers

given:

8, 12, 15, 3, 7, 10, 15

to find:

mean, median and mode.

solution:mean:

to find mean you'll have to add all of the numbers and divide by the number of numbers in the data set.

[tex] \frac{(8 + 12 + 15 + 3 + 7 + 10 + 15)}{7} [/tex]

[tex] = \frac{70}{7} [/tex]

[tex] = 10[/tex]

median:

to find median you'll have to order the numbers either in descending or ascending, and find the number in the middle.

[tex]3 \: 7 \: 8 \: 10 \: 12 \: 15 \: 15[/tex]

=10

mode:

most frequently occurred number is the mode.

[tex] = 15[/tex]

Leaf U. Allone needs to borrow $120,000 from his local bank for the home he is buying. The bank offers a 30 year mortgage at an APR of 6.5%.

A) How many monthly payments would it take to pay off the 30 year loan?

B) What is her monthly payment on the 30 year loan?

C) What is the total paid to the bank over 30 years?


D) How much of that is interest?

Answers

Answer:

A) It would take 360 monthly payment to pay of the 30-year loan.

B) Her monthly payment would be $650.

C) The total paid back to bank over 30 years would be $234,000

D) The total amount of interest was $114,000 (95% interest back to the bank after 30 years).

Step-by-step explanation:

6.5 percent *120000 =

(6.5:100)*120000 =

(6.5*120000):100 =

780000:100 = 7800

6.5% of 120,000 is 7,800.

Every year Leaf U. Allone has to pay $7,800 to the bank.

12 months in a year.

7,800 ÷ 12 = $650

Every month Leaf U. Allone has to pay $650 to the bank.

Over 30 years of paying 7,800

Multiply 7,800 * 30

= $234,000

To find the interest,

subtract 120,000 from 234,000

= $114,000 in interest.

Meaning the home value went up.

Christine exercises more than 40 minutes per day.
Use t to represent Christine's amount of exercise (in minutes per day).

Answers

Answer:

t=40+

Step-by-step explanation:

I couldn't really tell what you meant by that question

1. Jenna and Marcus want to calculate who got the better score on different math quizzes. Jenna got 4 out of
5 questions correct. Marcus got 8 out of 10 questions correct. Who did better? Explain.

Answers

Answer:

Jenna got a better score

Step-by-step explanation:

She got a better score because Marcus missed 2 but Jenna only missed one.

HELP A marble paperweight shaped similar to a prism weighs 0.2 lb. How much does a similarly shaped marble paperweight weigh if its length, width, and height are tripled?


5.4 lb


0.6 lb


0.8 lb


1.8 lb

Answers

Answer:

0.6 lbs

0.2 ×3=0.6

explanation

Trust

HELP ME PLEASEEE URGENT I’ll mark the brainiest!!

Answers

216.66

169π-100π=69π

69*3.14= 216.66

Zach's step counter tracked how many steps he took each day for a week. Number of steps 2,000 4,000 6,000 8,000 10,000 What was Zach's median number of steps?

Answers

the median of his steps will be five thousand

Answer: 8,000

Step-by-step explanation: Did it on IXL

What is the value of x? A=55 B=80

Answers

Answer:

x = 45°

Step-by-step explanation:

80° + 55° + x = 180°

135° + x = 180°

x = 45°

a - 1 = 70; a = 71 solution or not a solution??​

Answers

solution

hope it helps...!!!

A person with type O blood can donate red blood cells to anybody because type O blood is the universal blood type. About 44% of the US population has type O blood. University High held a blood drive where 50 students donated blood.

Part A: What is the probability that exactly 25 of the students had type O blood?

Part B: What is the probability that at least 25 of the students had type O blood?

Answers

Answer:

Part A.

k= 25

p= 44% = 0.44

n= 50

P(x = k) = (nk) p^k (1 - p) ^n - k

P(x = 25) = (50 25) (0.44)^25 (1 - 0.44) ^50 - 25

50!/25!(50 - 25)!

50!/25!(25)! = 1.264106 x 1014

P(x=25) = (1.264106 x 1014)(0.44)^25(0.56)^25

= 0.07812

= 7.8% probability that exactly 25 students have type O blood

Part B.

Do the same math you did above. Just replace 25 with 26 and 27 :)

25 = 7.8% probability

26 = 0.01851

 = 1.8% probability

27 = 0.00405

 = 0.4% probability

The cost of a first-class postage stamp in 1962 was 4. In 1999 it is 33. The cost was (and is) growing exponentially. What was the growth rate? What will be the cost of a first-class postage stamp in 2010?

Answers

Answer:

The growth rate was 5.87%

Step-by-step explanation:

Time interval is t=1999−1962=37 yearsInitial cost in 1962 was a=4 unit Final cost in 1999 was y=33 unit Exponential growth function :y=a(1+r)t;a>0,r>0,ris rate of growth in decimal form.y=a(1+r)tor33=4(1+r)37 or(1+r)37=334or(1+r)37=8.25 , taking log on bothsides we get, 37log(1+r)=log(8.25) orlog(1+r)=log(8.25)37orlog(1+r)≈0.24769(1+r)=100.24769or1+r≈1.0587∴r=0.0587 orr%=0.0587⋅100≈5.87%The growth rate was 5.87% [Ans]

What does "Y" equal? Answer ASAP and whoever gets it right can have brainliest

Answers

Answer:

Y = 21

To solve this, do the inverse of division, multiplication. Multiply 3 by the result, 7, and you get 21 as your answer to the missing digit.

5(x - 20) = 1/2 (4x + 4)


Show your work

Help

Answers

Answer: 334

Step-by-step explanation: Find the steps in the file

Answer:

34

Step-by-step explanation:

1. Expand 5(x - 20):

Use the distributive property to distribute 5 to x and -20

5x - 100

2. Expand [tex]\frac{1}{2} (4x + 4)[/tex]:

Use the distributive property to distribute [tex]\frac{1}{2}[/tex] to 4x and 4

2x + 2

3. Add 100 to both sides:

5x - 100 = 2x + 2

5x - 100+100 = 2x + 2+100

5x = 2x + 102

4. Subtract 2x from both sides:

3x = 102

5. Divide both sides by 3:

x = 34

hope this helps!

How many apples do you need to baked 3 apple pies if each pie need 5 apples?​

Answers

Answer:

15

Step-by-step explanation:

Each pie requires 5 apples

5x3=15

Answer:

Step-by-step explanation:

1 apple pie = 5 apples

3 apple pies x 5 apples = 15 apples

Consider the function
f(x) = x² ln(x)
Find the second derivative and use it to calculate f''(1). Type your answer in the space below.

Answers

Answer:

y'=(1/x^2-3/x^4)*(1+15x^2)+(-2/x^3+12/x^5)(x+5x^3)

Step-by-step explanation:

We know that (x2)′=2x and that (ln(x))′=1x, soOr, putting x in evidence

Find the arc length of the semicircle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

18.852

Step-by-step explanation:

Formula to find the arc of semi circle is :

Arc length = π r

Given that,

diameter ⇒ 12

So, the radius will be,

Radius ⇒ 12 / 2

            ⇒ 6

Let us solve now.

Arc length = π r

                  = 3.142 × 6

                  = 18. 852

The exam scores in Bryan's class are Normally
distributed with a mean of 88 points and a standard
deviation of 1.5 points.
Exam Scores
83.5 85 86.5 88 89.5 91 92.5
Score
Which statements are true? Check all that apply.
□ About 16% of all exam scores are less than 86.5
points.
About 16% of all exam scores are greater than 89.5
points.
About 68% of the test scores fall between 85 and 91
points.
About 84% of all exam scores are less than 89.5
points.
About 84% of all exam scores are greater than 89.5
points.
0

Answers

Using the Empirical Rule, it is found that the correct statements are given by:

About 16% of all exam scores are less than 86.5 points.About 16% of all exam scores are greater than 89.5 points.About 84% of all exam scores are less than 89.5 points.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

We also have to consider that the normal distribution is symmetric. Then, alog with the mean of 88 and standard deviation of 1.5, the correct statements are given by:

About 16% of all exam scores are less than 86.5 points(more than 1 standard deviation below the mean, the percentage, considering the symmetry, is 0.5 x 32 = 16%).About 16% of all exam scores are greater than 89.5 points, due to the same explanation as above.About 84% of all exam scores are less than 89.5 points, as the percentage is 50%(all below the mean) + 50% x 68%(one standard deviation above the mean) = 84%.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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Answer:

Step-by-step explanation:

Fill in the correct values in the statements.

About 68% of the observations will fall within

⇒ 1.5 points of the mean of

⇒ 88 points.

About

⇒ 95% of the observations will fall within 3 points of the mean.

About 99.7% of the observations will fall within

⇒ 4.5 points of the mean.

You want to bake a 20" diameter pizza. Give exact answers.

a. What should be the circumference of the pan?
b. What is the area of the pizza?
c. If you cut the pizza into 8 congruent slices, what is the area of one slice?
d. What is the length of the crust of one slice?

Answers

Step-by-step explanation:

pizza = circle

the area of a circle is

pi×r²

r = radius (half of the diameter). in our case 20/2 = 10".

the circumference of a circle is

2×pi×r

again, r = radius.

in our case that gives us

a.

2×pi×r = 2×pi×10 = 20×pi = 62.83185307... "

b.

the area of the pizza is

pi×10² = 100×pi = 314.1592654... in²

c.

it is 1/8 of the whole area, of course.

314.1592654... / 8 = 39.26990817... in²

d.

it is 1/8 if the whole circumference, of course.

62.83185307... / 8 = 7.853981634... "

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Hyperglycemia associated with diabetic ketoacidosis is defined as a blood glucose measurement equal to or greater than _____ mg/dl. Find the unknown length of the side labeled x. Heart murmurs caused by a stenotic mitral valve ______. Calculate [H3O+] and [OH] in solution of pH = 4.8 A) identify one piece of evidence that moser uses in the passage to support his claim regarding nationalist perceptions of liberal economic policies. B) explain one development in the late 1930s and early 1940s that could be used to support mosers argument in the last sentence of the passage. C) explain one economic policy, other than those mentioned in the passage, that governments in western europe and north america adopted in the 1930s to address the economic crisis referred to in the passage Find the value of x.120(5x)x = [?]Enter Solve for x in the equation x squared 14 x 17 = negative 96. The term "liquidity trap" describes a macroeconomic scenario in whichlow interest rates cause firms to shift toward capital and away from labor, increasing unemployment.increased levels of imports cause a country to shift away from manufacturing, which leads to increasingly higher levels of imports.low interest rates cause people to hoard money, making output and employment stagnate.an excess of cash is introduced into the economy, causing large levels of inflation. The total amount you earn as a salary or hourly wage is called ___ income.A. NetB. SurplusC. ResidualD. Gross 4. Which condition would not proveKML~JNL? One morning, Justin drove 2 hours before stopping to eat lunch. After lunch, he increased his speed by 10 mph. If he completed a 220-mile trip in 6 hours of driving time, how fast (in miles per hour) did he drive in the morning Which famous Greek author wrote tales of their mythology, such as the Iliad and the Odyssey?A.HomerB.AristotleC.EuclidD.Hippocratica What energy transformation is performed by a toaster?O A. Nuclear energy to electrical energyO B. Sound energy to light energyO C. Electrical energy to heat energyO D. Heat energy to sound energy 1. Which of the following verbs do NOT have a spelling change in the preterite?A-creerB-leerC-influirD-hablarE-comprarF-pedir2. Which of the following verbs are conjugated in past tense?A-escribir B-lavasC-devuelvesD-se mancharon E-pagarF-te lavaste3 .Which of the following verbs are conjugated in past tense?A-pagasB-vinoC-lavasD-se mancharonE-estuvoF-sigue DOES ANYONE KNOW HOW TO SOLVE THIS? EXPLANATION IS MUCH NEEDED!!! i will give 50 points What is a narrow body of water Why do the men lose faith in Ollendorff as their guide?A The men get distracted while trying to light the fire with apistol. B The men become aware that they are following their ownfootsteps. The men decide to camp and make a fire. D The men lose sight of the wagon tracks as snow beginsto fall. Which expression is equivalent to startfraction 3 x over x 1 endfractiondivided by x 1? Write a sentence which ends with the sentence what a dream