the lengths of the sides of a triangle are in the extended ratio 7:8:9 the perimeter of the triangle is 96cm. what are the lengths of the sides?

Answers

Answer 1

Answer:

28 cm, 32cm , 36cm

Step-by-step explanation:

Given:

The lengths of the sides of a triangle are in the ratio 7:8:9Perimeter of triangle is 96cm

To Find:

The lengths of the sides of triangle?

Solution:

Let:

1st side = 7x 2nd side = 8x 3rd side = 9x

As, we know that,

Perimeter of Triangle = Sum of all sides

➝ 7x + 8x + 9x = 96cm

➝ 24x = 96cm

➮ x = 96/24

➮ x = 4

So, length of the sides are:

7x = 7 × 4 ➝ 28cm

8x = 8 × 4 ➝ 32cm

9x = 9 × 4 ➝ 36cm

Answer 2

Given :

The length of the sides of the triangle are in the ratio 7:8:9 .The Perimeter of the Triangle is 96 cm.

To Find :

The length of the sides of the triangle.

Solution :

Let us assume the sides be 7x cm, 8x cm and 9x cm.

We know,

[tex]\qquad{ \bold{ \pmb{Sum \: of \: all \: sides \: of \: the \: triangle = Perimeter_{(Triangle)}}}}

[/tex]

So, Substituting the values :

[tex]\qquad { \dashrightarrow{ \sf{7x + 8x + 9x = 96}}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{24x= 96}}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ \dfrac{24x}{24} = \dfrac{96}{24} }}}[/tex]

[tex]\qquad { \dashrightarrow{ \bf{ x = 4 }}}[/tex]

Therefore,

The length of the sides of the triangle are :

[tex]\qquad { \dashrightarrow{ \sf{ 7x \: cm= 7 \times 4 \: cm = \bf \: 28 \: cm }}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ 8x \: cm= 8 \times 4 \: cm = \bf \: 32 \: cm }}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ 9x \: cm= 9 \times 4 \: cm = \bf \: 36 \: cm }}}[/tex]


Related Questions

a: b = 7:4
b: c= 2:5
Work out а: c
Give your answer in its simplest form

Answers

Answer:7:10

Explanation: Make b on both ratios the same so that a:b=14:8 and b:c=8:20 to make one ratio a:b:c 14:8:20 and the simplify to 7:4:10 and then take out a and c to make 7:10

geometry due tonight

Answers

Answer:

A: 5 CM

B: 2.5 CM

C: ABC approx. equal to EDC (I'm not 100% sure on this one, but it makes most sense.)

I can't help you with number four, I'm sorry. I hope someone else comes along and helps with that!

Step-by-step explanation:

The symbol being used means "approximate equality" meaning that the two angels are alike. So in A, the two sides on the shapes are both 5 cm. On B, since it is half of that side, it would be half of five, making it 2.5 cm. For C, the middle letter is the one touched second. Therefore when you draw the shape it makes the most sense that it's ABC approx. equal to EDC. Not to mention that ABC and the next angel has to match, so since the C is last, it also matches in that spectrum.

For D, I don't know the terminology, I'm sorry.

128.15 equals 11 (6.4 + 4.8 + x) pls urgent I'm in big trouble​

Answers

Answer in the picture.

Please solve this equation

Answers

Answer: Below

Step-by-step explanation:

Well they already gave you crucial information. The radius, or r, is 19, and pi can be substituted with 3. Using that we can do:

C = 2 * 3 * 19

C = 6 * 19

C = 114

Our answer is 114.

help me bro. easy 100 points for you right here.

Answers

Answer:

b:8 c:4 just look at the table and the graph for the increase of money spent for the rides

32 cm
40 cm
Need help!!!!!!

Answers

the facing sides of a rectangle are equal thus the side facing 32 is 32 and the side facing 40 is 40!

Answer:

the Area is 1280 cm

Step-by-step explanation:

All we need to do is use the formula for finding area which is length times width.

[tex]L*W[/tex]

We are given both of those measurements so all we need to do is put them in the formula

[tex]32*40=1280[/tex]

Ivania is 12 3 4 years old. Marian is 1 3 8 years older than Ivania and Jane is 1 1 5 years older than Marian. How old is Jane?

Answers

Answer:

Step-by-step explanation:

it says Jane is 115 years older than Marian it means that Jane is 253 years old

3.785 to whole number

Answers

Answer: 4

Step-by-step explanation: with rounding the 7 bumps the 3 to a 4

Solve for each equation 3 1/4 = 1/2 + w

Answers

Answer:

w = - [tex]\frac{58}{31}[/tex]

Step-by-step explanation:

3 1/4 = 1/2 + w

Cross Multiply

31(2 + w) = 4

Divide both sides by 31

[tex]\frac{31(2 + w)}{31}[/tex] = [tex]\frac{4}{31}[/tex] (simplify) -> 2 + w = [tex]\frac{4}{31}[/tex]

Subtract 2 from both sides

2 + w - 2 + [tex]\frac{4}{31}[/tex] - 2 (simplify) -> - [tex]\frac{58}{31}[/tex]

w = - [tex]\frac{58}{31}[/tex]

Carl or felipa ( I need a explanation aswell ) And I’ll give thanks and brainliest!!!!

Answers

Answer:

Carl is incorrect, he didn't write an equivalent expression and he didn't use the distributive property in the equation.

Step-by-step explanation:

When solving equations, we use PEMDAS

P = Parenthesis

E = Exponent

M = Multiply

D = Divide

A = Add

S = Subtract

So lets solve the equation then:

6 - 4 (3 - 6x) + 12x

Use the distributive property to multiply −4 by 3 and -6x

6 - 12 + 24x + 12x

Subtract 12 from 6 to get −6

-6 + 24x + 12x

Combine 24x and 12x to get 36x

-6 + 36x

So, -6 + 36x is the answer

And the reason why Felipa is correct, is because Felip wrote an equivalent expression, she correctly multiplied -4 (3 - 6x) before adding or subtracting and she combined like terms correctly.

The reason why Carl is incorrect, is because he didn't write an equivalent expression and he didn't use the distributive property in the equation.

Last week, Latoya drove 259 miles. This week, she drove k miles. Using k, write an expression for the total number of miles she drove in the two weeks.

Answers

Answer:

259+k=x

Step-by-step explanation:

x= total number of miles

The amount of money invested or borrowed is known as

Answers

Answer:

Principle

Step-by-step explanation:

An amount borrowed or invested is a principle

Megan added two numbers and the resulting sum was an irrational number. The first number was 2/3, which of the following could be the second number? Select TWO that apply

Answers

Answer:

[tex]A.\ 2\sqrt7\ \ \ \ \ \ \ \ \ \ C\bullet3\pi[/tex]

Step-by-step explanation:

[tex]\frac{\left(Basic\ Calculation\right)}{\frac{6}{5}+\frac{2}{3}=\frac{18}{15}+\frac{10}{15}=\frac{28}{15}}[/tex]

[tex]5+\frac{2}{3}=5\frac{2}{3}[/tex]

[tex]\sqrt9+\frac{2}{3}=3+\frac{2}{3}=3\frac{2}{3}[/tex]

[tex]So\ 2\sqrt7\ and\ 3\pi\ is\ the\ answer[/tex]

I hope this helps you

:)

Latisha purchased a pair of jeans for $35. She had a 10% off coupon. How much was the discount? She had to pay 7% sales tax. What was her final price for the jeans?

Answers

$3.50, $33.71

Those are the 2 answers to the question

Find a polynomial that represents the area of the
square.

Answers

Answer:

16x² + 72x + 81

Step-by-step explanation:

The area of a square is [tex]s^2[/tex], where s = side. In this case, we're given the side length as 4x + 9.

[tex](4x+9)^2 = (4x+9)(4x+9)[/tex] [tex](4x+9)(4x+9)=(4x)(4x)+(4x)(9)+(9)(4x)+(9)(9)[/tex] [tex]16x^2+36x+36x+81[/tex] [tex]16x^2+72x+81[/tex]

Therefore, the answer is 16x² + 72x + 81.

what is 6 divided by 131.4


SHOW WORK please
will give brainliest

Answers

Answer:

21.6

Step-by-step explanation:

131.6÷6

One just needs to go to his/her calculator and solve it

Answer:

  0.04566210...(8-digit repeat)

Step-by-step explanation:

The quotient of 6 ÷ 131.4 is shown in the attachment. The remainder at the bottom matches the original dividend, so the quotient will be repeating:

  [tex]\dfrac{6}{131.4}=0.\overline{04566210}[/tex]

The division process starts by rewriting the problem to integer division:

  60/1314

(If you like, you could further reduce this to 10/219 by removing a common factor of 6 from numerator and denominator.)

At each stage, the quotient digit is multiplied by the divisor and the result subtracted from the dividend to get a new dividend. Careful attention to the vertical alignment of digits will help ensure that quotient digits have their proper place value.

Need help on 5 don’t get it

Answers

Answer:

3=127

4=53

2=53

......

......

.......

.......

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1 .Find the measure of angle A. (Round to the nearest hundredth). O 0.99 O 22.62 O 34.54 O 35.2​

Answers

Answer:

The missing angle is 22.62°

Work out
8x1/3

Give your answer as a mixed number.

Answers

2 2/3

Step-by-step explanation:

multiply eight times one

it will be eight over three

the divide eight by three and put in a mixed number

In a direct variation, y=8 when x=2. Write a direct variation equation that shows the relationship between x and y.

Answers

Answer:

y=4x

Step-by-step explanation:

Direct Variation means y=kx where k is a Constant

since y=8 when x=2

y=kx -->  8=k*2  then k=4

Then y=4x

Beth and Jose went to dinner at a restaurant and their entire meal costed $30.75. If they want to give their server a 20% tip, about how much money should they leave on the table for the tip?

Answers

Answer:

$6.15

Step-by-step explanation:

30.75×20%

...........................

Find the value of x if the perimeter is 30. X+3, x, 2x-1

Answers

Step-by-step explanation:

Perimeter represents the sum of all of the sides adding.

The problem is stating that;

[tex]30 = x + x + 3 + 2x - 1[/tex]

Combine like terms;

[tex]30 = 4x + 2[/tex]

Subtract from both sides;

[tex]28 = 4x[/tex]

Divide each side by 4;

[tex]7= x[/tex]

Check;

[tex]30 = 7 + 7 + 3 + 2(7) - 1[/tex]

[tex]30 = 17 + 14 - 1[/tex]

[tex]30 = 31 - 1[/tex]

[tex]30 = 30\checkmark[/tex]

Mr. Hawkins bought 2 shirts for $40 each. The store was have a Buy One, Get One 50% Off sale. Mr. Hawkins also had a 10% off coupon to apply to his subtotal. He then paid 6% sales tax on that amount. How much did he spend?

Answers

Answer:

50.4

Step-by-step explanation:

2x40=80

40/2=20

80-20=60

60x10/100=6

60x6/100=3.6

3.6+6=9.6

60-9.6=50.4

Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=3

Answers

Answer:

I think the answer is y = 3x - 10

Step-by-step explanation:

What is the solution set of an inequality? Use the inequality x > 10 as an example.

Answers

Answer:

The set of all solutions. 

Help, help, help pips!! Thanks!!

Irrelevant answers will be deleted.​

Answers

Answer:

see explanation

Step-by-step explanation:

(3)

the values of q decrease as the values of p increase.

this indicates an inverse relationship between the quantities, that is

q = [tex]\frac{k}{p}[/tex] ← k is the constant of variation

to find k use any ordered pair from the table.

using q = 16 when p = 3 , then

16 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

48 = k

q = [tex]\frac{48}{p}[/tex] ← equation of variation

(4)

the values of q increase as the values of p increase.

this indicates the quantities are in direct variation, that is

q = kp ← k is the constant of variation.

to find k use any ordered pair from the table.

using q = 2 when p = 6 , then

2 = 6k ( divide both sides by 6 )

[tex]\frac{2}{6}[/tex] = k , that is

k = [tex]\frac{1}{3}[/tex]

q = [tex]\frac{1}{3}[/tex] p ← equation of variation

What is solving inequalities

Answers

An inequality is a comparison of expressions by either "less than" (<), "less than or equal to" (<=), "greater than" (>), or "greater than or equal to" (>=). Note that Html does not support the standard symbols for "less than or equal to" and "greater than or equal to", so we use <= and >= for these relations.  

Answer for 100 points

what is 9 x 99 x 999 x 9683

Answers

Answer:

8618925447

Step-by-step explanation:

1.  9 x 99=891

2.  891 x 999= 890109

3.  890109 x 9683 = 8618925447

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A self-serve car wash charges $5.43 to use its facilities, plus an additional $0.83 for each minute the customer is at the self-serve car
wash. If Tiffany was at the car wash for 5 minutes, how much was she charged?
OA. $10.43
ОВ.
$6.26
OC. $9.58
OD. $4.15
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Submit
6 of 15 Answered
Session Timer: 9:58
Session Score: 67% (4/6)

Answers

x = 5.43 + .83m

5.43 + .83 * 5 = 5.43 + 4.15 = $9.58

please just help me simplify these NOT SOLVE THEM IF AT ALL POSSIBLE! THANKS!!!​

Answers

5th question: [tex]\frac{-8-4a}{-4} =2 + a[/tex]

6th question: [tex]11(-4q +3d + 3) = -44q +33d+33[/tex]

7th question: [tex]\frac{15w +5-35w}{-5} =-3w-1+7w=4w-1[/tex]

8th question: [tex]4(y-1)+9(y+2) = 4y-4 + 9y+18= 13y+14[/tex]

Hope it helps!

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