The lengths of the sides of a triangle are in the extended ratio 4 ​: 7 ​: 8. The perimeter of the triangle is 95 cm. What are the lengths of the​ sides?

Answers

Answer 1

Answer:

20 cm, 35 cm, 40 cm

Step-by-step explanation:

sum the parts of the ratio, 4 + 7 + 8 = 19 parts

Divide the perimeter by 19 to find the value of one part of the ratio.

95 cm ÷ 19 = 5 cm, then

4 parts = 4 × 5 cm = 20 cm

7 parts = 7 × 5 cm = 35 cm

8 parts = 8 × 5 cm = 40 cm

Thus the 3 sides are 20 cm, 35 cm and 40 cm

Answer 2

Answer:

The measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Step-by-step explanation:

Given that the lengths of the sides of a triangle are in the extended ratio 4 ​: 7 ​: 8.

Also given that the perimeter of the triangle is 95 cm.

We know that the Perimeter of a triangle is the sum of all the sides of a triangle.

As the lengths of the sides of a triangle are in the proportion 4 ​: 7 ​: 8. Thus, the measure of the sides will have the same scale factor x.

Therefore,

4x + 7x + 8x = 95

Add similar elements: 4x + 7x + 8x = 19x

19x =  95

Divide both sides by 19

19x/19 = 95/19

x = 5

Therefore, the measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Verification:

20 + 35 + 40 = 95

95 = 95


Related Questions

O salário de um artista é calculado através da função y = 2000 + 500x onde Y representa o valor total em Reais recebido em um mês de trabalho e "x" o número de shows realizados no mês. Qual foi o salário desse artista no mês em que realizou 12 shows?

Answers

Answer:

The artist's salary in the month is 8000.

Step-by-step explanation:

The salary of an artist is given by the function :

y = 2000 + 500x ....(1)

where Y represents the total amount in Reais received in a month of work and "x" the number of shows performed in the month.

We need to find the artist's salary in the month she performed 12 shows.

Put x = 12 in equation (1)

y = 2000 + 500(12)

= 2000 + 6000

= 8000

Hence, the artist's salary in the month is 8000.

8 to the 7th power/ 8 to the second power

Answers

Answer: 32768 or [tex]8^5[/tex].

Step-by-step explanation:

[tex]8^7[/tex]= 8x8x8x8x8x8x8 = 2097152

[tex]8^2[/tex]= 8x8 = 64

                                            Dividing Exponents

When you divide exponents with the same base. You subtract. So in this case, you subtract 7 by 2, (being exponents). The same base is 8. So your subtracting [tex]8^7[/tex] by [tex]8^2[/tex]. Which will get you [tex]8^5[/tex].

                                         

                                          Dividing Whole Numbers.

You are going to divide whole numbers. Its pretty self explanatory but I will do the math for you anyways.

64 goes into 2097152, 32768 times. Or we can say,

2097152 divided by 64 = 32768.

So the answer is 32768, or [tex]8^5[/tex].

Ethan is planning flowers in boxes East flower box can hold 4 Ethan wants to plan 38 red flowers and 33 white flowers in the flower boxes what is the fewest number of flower boxes he would need to plant all the flowers

Answers

Answer:

18 flower boxes

Step-by-step explanation:

Given that:

Capacity of each flower box = 4

Number of flowers to plant :

Red = 38

White = 33

Total = (38 + 33) = 71 flowers

Fewest number of flower boxes needed to plant all flowers :

Total flowers to plant / capacity of each plant

71 / 4

= 17.75

= 18 boxes

The diagram shows the governing system of a municipal government.



What does the diagram show about the strong mayor system?

The city council is elected and the mayor is not.
The mayor is elected and the city council is not.
The mayor has more power than the city council.
The city council shares equal power with the mayor.

Answers

Answer:

where is the diagram

Step-by-step explanation:

?

Answer:

C !!!   THE MAYOR HAS MORE POWER THAN THE CITY COUNCIL !!!

Step-by-step explanation:

Please I need help


What is the perimeter of the parallelogram

Answers

Answer: the answer is 12 cm

1.5 x -3 4/5

multiply

Answers

Answer:

I'm pretty sure it's -5.7

10 POINTS BEST ANSWER GETS BRAINLY

Answers

Answer:

b

Step-by-step explanation:

the y coordinate stays the same (same vertical thing) but x coordinate changes (goes horizontal)

I hope this helped, and if it did, please mark this as brainliest! Thanks!

20 points


Determine whether the statement is true or false. If the statement is​ false, make the necessary​ change(s) to produce a true statement.


To solve the system below by substitution, replace y in the second equation with 7−6x.


6x−y=7


2x+y=5


This statement is true.


This statement is false. To solve the system by​ substitution, replace x in the second equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the first equation with 7−6x.


This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

Answers

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

From the first equation, 6x-y=7

y= 6x-7

Answer: This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32

Answers

Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]

Does the order of operations apply to algebraic expressions?

Answers

Answer:

yes it does for algebraic expressions

Yes, it still applies to algebraic expressions.

Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.

What is the theoretical probability of selecting a rough bead?

Answers

The theoretical probability of selecting a rough bead is 1/2.

Total number of beads = 52

Number of rough beads = 26

Number of smooth beads =26

What is the probability?

Probability is the measurement of possibilities.

P(event) = favorable outcomes/total outcomes

P(rough) = number of rough beads/ total beads

P(rough) =26/52

P(rough) =1/2

Therefore, the theoretical probability of selecting a rough bead is 1/2.

To get more about probability visit:

https://brainly.com/question/24756209

Answer: 1/2

Step-by-step explanation:

what is the correct order of steps bisecting angle abc?

Answers

Answer:wait abcs?

Step-by-step explanation:

Rewrite the following polynomial in standard form.
1 + 10x3 + x2

Answers

Answer:

31 + x

Step-by-step explanation:

1) 1 + 10 × 3 + x

2) 1 + 30 + x

3) 31 + x

Answer:

X2+10x3+1....…...…............

If UW = 9x -9, what is UW in units?

Answers

did u get this figured out

The Mapleton Middle School band has 41 students. Six students play a percussion instrument. What percent of students in the band play a percussion instrument? Round your answer to the nearest tenth of a percent.

Answers

Answer:

the  percentage of the students in the band that play a percussion instrument is 14.6%

Step-by-step explanation:

The computation of the percentage of the students in the band that play a percussion instrument is as followS;

= number of students played percussion instrument ÷ total number of students

= 6 students ÷ 41 students

= 14.6%

Hence, the  percentage of the students in the band that play a percussion instrument is 14.6%

The same is relevant

Need help ASAP!! I'll give brainliest to the correct answer!!!

A.) 18.7 units
B.) 10.5 units
C.) 9 units
D.) 13 units

Answers

Answer:

B.) 10.5

Step-by-step explanation:

Use ratios, but be careful.

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

The value of x in the given figure is 10.5 so, option B.) 10.5 units is correct.

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Using ratios;

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

Thus, option B.) 10.5 units is correct.

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

You spend 264 dollars on clothes. Shirts cost 24 and pants cost :2 you buy a total of 9 items

Answers

EQUATIONS:

24x + 32y = 264

x + y = 9

x is shirts, y is pants

SOLVING by substitution:

x = 9 - y

24(9 - y) + 32y = 264

216 - 24y + 32y = 264

8y = 48

y = 6

x + 6 = 9

x = 3

Which fraction and decimal forms match the long division problem?
A.4/15 and 0.26
B.4/15 and 0.26
C.15/4 and 0.266
D.15/4 and 0.26​

Answers

Answer:

C would be the correct answer. :D

Solve for n.
(33)^2 = n^6

Answers

Answer is

n=3.207534,−3.207534

Step-by-step explanation: looked it up lol.

Answer:

Rewrite the equation as

n6 =

33

2

.

n

6

=

33

2

Take the 6th root of both sides of the equation to eliminate the exponent on the left side.

n

=

±

6

33

2

Simplify the right side of the equation.

Tap for more steps...

n

=

±

3

33

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

n = 3√33,−3√33

The result can be shown in multiple forms.

Exact Form:

n = 3√33,−3√33

Decimal Form:

n = 3.20753432,−3.20753432

Step-by-step explanation:

what is the slope of (-3,5) and (2,0)

Answers

Answer:

is there anymore to the question?

Step-by-step explanation:

How do you write 872.8% as a decimal?

Answers

Answer:

.82

Step-by-step explanation:

Answer:

8.728

Step-by-step explanation:

"Percent" means "per 100" or "over 100". To convert 872.8% to a decimal rewrite 872.8 percent in terms of per 100 or over 100.

Write an inequality that is represented by the graph.

Answers

Answer:

ff

Step-by-step explanation:

⚠️⚠️ help would be appreciated ⚠️⚠️

** if you could explain that’d be cool but if not that’s ok

Answers

Answer:

(I rotated the trapezoid on the origin)

T' (-2, 2)

R' (-2, 5)

A' (-6, 2)

P' (-7, 5)

Step-by-step explanation:

The original points of the trapezoid were (2, -2), (2, -5), (6, -2) and (7, -5). Flipping trapezoid TRAP on the origin has the x and y coordinates showing their opposites from the original. So, find the opposite of each x and y coordinate to get the coordinates of the rotated trapezoid T'R'A'P'.

1. Ryan and Rachel attended the weekend games at the neighborhood stadium and bought some food at the stands Ryan paid $7.10 for 3 corndogs and 1 coke Rachel paid $7.20 for 2 corndogs and 2 cokes. How much is each corndog?

Please help :( I’ll give you brainiest ♡

Answers

Answer:

$1.75

Step-by-step explanation:

Set up a system of equations where x is the cost of a corndog and y is the cost of a coke:

3x + y = 7.1

2x + 2y = 7.2

Solve by elimination by multiplying the top equation by -2

-6x - 2y = -14.2

2x + 2y = 7.2

Add them together:

-4x = -7

x = 1.75

So, the cost of one corndog is $1.75

Sorry I tried doe

(The answer I got would be in the negatives, I don't think that would be correct)

What are the answers to the last two questions?

Answers

Answer:

1. (-1)(x^2+x-6)

2. (-1)(x+3)(x-2)

Step-by-step explanation:

Factoring

It's given the trinomial

[tex]-x^2-x+6[/tex]

1. There is no common factor (given).

2. Factor out -1:

Each term is divided by -1:

[tex]\mathbf{(-1)(x^2+x-6)}[/tex]

3. Now we factor the remaining trinomial. We find two numbers whose sum is 1 and the product is -6. These are 3 and -2, thus the trinomial is:

(-1)(x+3)(x-2)

OH MY GOD HELPPPPPPPPPPPPPP

Answers

Answer:

? = -36

Step-by-step explanation:

When you raise an exponent to an exponent, the resulting power is a product of the two exponents.

For this problem, you can solve for the missing value by writing:

[tex]?*1/3=-12[/tex]

Divide both sides by 1/3 to isolate the missing value.

[tex]?=\frac{-12}{1/3}[/tex]

Solve for ?.

[tex]?=-36[/tex]

what does b equal. 2/3b +19=35

Answers

2/3b + 19 = 35

          -19    -19

----------------------

2/3b  =  16

÷2/3    ÷2/3

----------------------

b  =  24

Jody works at an ice cream counter. The ice cream costs $3 per cone. Let c represent the number of ice cream cones she sells. Let p represent
the total cost paid by the customers.
Choose two correct statements about the variables in this situation,
A. The cost per cone depends on the number of cones sold.
B. The total cost paid by customers depends on the number of cones sold,
O c The number of cones sold is independent of the total cost paid by customers.
D. The total cost paid by customers is independent of the number of cones sold,

Answers

Answer:

B and C are correct Hope this helps <3

Step-by-step explanation:

Answer:

B and C?

Step-by-step explanation:

Im a little unsure about C but im about99% sure that is correct

All of the following represent the same function except _____.


y = x - 1
{(0, 1), (2, 3), (4, 5), (7, 8)}

x y
1 0
3 2
5 4
8 7

Answers

Answer:

let's take

y=0

when y=0,

y=x-1

therefore,

0=x-1

when we cross -1 the other side it becomes a positive. so when y=0, x=1.

what is 1256x - 14x + 16x simplified

Answers

Answer:1

1258

Step-by-step explanation:

Do like terms.

Answer:

The answer was 1258

Step-by-step explanation:

1256x - 14x + 16x

add similar elements = 1256x - 14x + 16x

1258

Other Questions
PLS HELP ME NWWWWWWWWWWWWW Which of the following is NOT true of television journalism? Television is even more effective than the radio as an agency for influencing public opinion. We should form our opinions by listening to network commentators to get a well-rounded perspective. You must pay millions of dollars to build up and project the proper television image for their candidates. Television media performs a public service in the field of political education. As you can assemble from different sources we should listen to more than one commentator and read background articles in books and magazines. Which of these factions are greater than 11/20 Find three consecutive natural numbers such that the sum of the first and the second is 15 more than the third the radius of a circle is 2 yards. what is the circles area What do U.S. states resemble that was used in Ancient Greece? Could someone pls help me and explain this if you know it!! -5/12 - (-9/3)=Help me please Noah was assigned to make 64 cookies for the bake sale. He made 25% MORE than that. How many cookies did Noah make? Explain how you got your answer. PLEASE HELP MEH! WILL MARK BRAINLIEST!! DUE TODAY please help I need you How did the National War Labor Board ensure production of vital war materials? The folded plasma membrane inside the cell is the ______.A: endoplasmic reticulumB: mitochondriaC: vacuoleD: vesicle The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 10 percent as much of its carbon-14 as compared to a living sample. How old is the fossil? Which relationship describes angles 1 and 2? Select each correct answer. A)complementary angles B) vertical angles C)supplementary angles D)adjacent angles Brainly for the first person to give a good explanation and answer! :) Why do dumplings cook faster in oil than water? Given the following reaction, how many liters of H2 gas are needed to form 35.5 grams of NH3?N2 + 3H2 -> 2NH3 How can land that was formerly used as dumps, mines, or factory sites be.rehabilitated? Please help asap!!! math math math math math math help What is the equation of the line in slope-intercept form 3. A fez, the cap used by the Turks, is shaped like thefrustum of a cone (see Fig. 1324) If its radius on theopen side is 10 cm, radius at the upper base isand its slant height is 15 cm, find the area of materialused for making it