14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.​

Answers

Answer 1
Answer :-

Given :-

Ratio of two Sides of Parallelogram ( Length and breadth) = 5 : 3

Perimeter of the parallelogram = 48cm

To Find :-

Length of each side of the parallelogram

Formula :-

Perimeter of the parallelogram = 2( length + breadth)

Solution :-

Let the length and breadth be 5x and 3x

2(5x + 3x) = 48cm

2(8x) = 48cm

x = 48/16

x = 3cm

Length = 5x = 5×3cm = 15cm

Breadth = 3x = 3×3cm = 9cm

We know that,

In parallelogram Opposite sides are equal

Hence, The sides of the Parallelogram are 15cm, 9cm, 15cm and 9cm

Related Questions

8 (n + 2) = __n + __

Answers

Answer:

The blanks are 8 and 16

Step-by-step explanation:

Distribute the 8:

8(n + 2) = 8*n + 8*2 = 8n + 16

In order to get the answer your gonna need to expand the equation.

8 (n + 2)

8 x n + 8 x 2

= 8n + 16

Find the highest common factor of 55 and 605

Answers

Answer:

55

Step-by-step explanation:

Factors for 605: 1, 5, 11, 55, 121, and 605

Factors for 55: 1, 5, 11, and 55

So the highest common factor they have is 55.

HCF = 55

Evaluate the power

(17) 2=____

If your answer is a fraction use the / as the fraction bar. NO SPACES

Answers

Answer:

289

Step-by-step explanation:

Raise 17 to the power of 2

Is this what you are asking for

289

Raise 17 to the power of 2

Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

thats your graph: tell me of somethings wrong with the picture or you need anything else

Helppp me plsss!!!! I need help

Answers

1: 24,000
2: 2,400,000
3: 5,400
800x30=24,000
8000x300=2,400,000

PLEASE HELP ASAP I AM WILLING 10 points


You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for TOTAL DEDUCTIONS for this pay period was $

Answers

Answer:

$240.87 is how much you made. Hope this helps and I wish you luck.

Only number 14. Pls explain this is confusing

Answers

Answer:

9.8

Step-by-step explanation

basically its just x/sin55=12/sin90 bc you plug into equation a/sina= b/sinb so then you x/sin55=12

                      sin55*12=x x=9.8

Then after you graph what is the ordered pair (x,y)

Answers

Hope this helpsssssssss

Answer:

Step-by-step explanation:

plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1​

Answers

Step-by-step explanation:

dy/dx

= d/dx [x / (1 - x²)]

= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²

= (1 + x²) / (1 - x²)².

When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.

=> 1 + x² = 1 - x²

=> 2x² = 0, x = 0.

Also when x = 0, y = (0) / [1 - (0)²] = 0.

Hence the coodinates is (0, 0).

three friends attend a cinema and buy tickets using this offer buy 2 tickets and get one free. they each pay 5.80. how much does each ticket cost

Answers

Answer:

2.90

Step-by-step explanation:

if you dive the amount they have by to you get the answer

• A florist is arranging flowers for a wedding. For every 2 pink flowers in a vase, he also includes 8 white
flowers.
a. Complete the table below PLEASE HELP ME

Answers

Answer: It's 1 - 4

2 -8

3 -12

6 - 24 Your welcome

Step-by-step explanation:

60 minutes is 20% of
minutes.

Answers

Answer:

60 minutes is 20% of 300 minutes

Step-by-step explanation:

let x be the number of total minutes

60 = 20% of x

20% = 1/5

60 = 1/5x

multiply both sides by 5

300 = x

x = 300 minutes

Can the remainder be greater than the quotient?

Answers

Yes and no it depends

but it is possible

Answer:

Yes

Step-by-step explanation:

Yes, the quotient is the answer to a division question. An example of this is 5/3. The quotient is 1 and the remainder is 2. If it replaced quotient with divisor, then the answer would be no.

Use a calculator to find the trigonometric value to
4 decimal places.
tan 31°
=

Answers

Answer:

Approximately 0.6009

The value of tan 31 is 0.6008606.

What is Trigonometry?

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As, the angle 31° lies between and 90° (First quad).

So, tangent function is positive in the first quadrant.

Tan 31 degrees= tan (0.54105 . . .) in radians.

As, using degree to radian conversion,

θ(radians) = θ in degrees × (π/180°)

31 degrees = 31° × (π/180°) rad

= 0.5410

So, tan 31°

= tan(0.5410)

= 0.6008606.

Hence, tan 31= 0.6008606.

Learn more about trigonometry here:

https://brainly.com/question/14746686

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If line a and b are parallel, what is the value of x?
Please help me

Answers

60
due to alternate interiors the angle supplementary to x is 120
120 + x = 180
x = 60

A school store ordered 12 boxes of notebooks. For each box they paid for, their bank account said -$16.50. What did their bank account show after they paid for all 12 boxes? (Write your answer in dollars $)​

Answers

Answer:

-198 dollars

Step-by-step explanation:

The Smiths spend 6% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,760 on entertainment. What was their total budget last year? Their total budget last year was?

Answers

Answer: Their total budget last year was $44,000.

Step-by-step explanation:

Given: Smiths spend 6% of their budget on entertainment.

Total budget this year = $ 2000 more than last year.

Let x = Budget for this year.

Money on entertainment = 0.06x = 2760

[tex]\Rightarrow\ x=\dfrac{2760}{0.06}= \$46,000[/tex]

⇒ Budget for this year = $ 46,000

Budget for last year = $ 46,000 - $2,000 = $44,000

Hence, their total budget last year was $44,000.

ASAP like now I need help!!!!

Answers

Answer:

(5x + 40), (7x + 8), (10x)

Step-by-step explanation:

Ok, I'm not completely sure, I'm taking a bullet here. But lemme know what you get

10x. 7x+8. 5x+40 this might be it ....hopefully

Choose the description that matches the inequality p > -3.
A line traveling to the right with a closed dot on p = -3.
A line traveling to the left with an open dot on p = -3.
A line traveling to the left with a closed dot on p = -3.
A line traveling to the right with an open dot on p = -3.

Answers

Answer:

The correct option is:  A line traveling to the right with an open dot on p = -3.

Option D is correct option.

Step-by-step explanation:

Choose the description that matches the inequality [tex]p > -3[/tex].

The inequality states that, the value of p is greater than -3

For drawing the number line for the inequality, we know that if p > -3, there will be open circle on -3 because -3 is not included and the greater values are on the right side of number line, so line will be travelling to right side.

The number line is attached in figure.

So, The correct option is:  A line traveling to the right with an open dot on p = -3.

Option D is correct option.

Can someone help me?

Answers

Answer:

10.72

Step-by-step explanation:

use pithagriam therom

The turtle pond measures 40 square feet. 1 turtle requires approximately 2 square feet of space. Using this information, determine the maximum population size of the turtles in the pond.

Answers

Answer:

20 turtles

Step-by-step explanation:

40 divide 2 = 20

Do y'all know which one it is if so tell me and plz explain why.

Answers

its equal to because if you do +50-50 and keep going it will always go back to 0. Hope this helps! :D

Answer:

C or Equal To

Step-by-step explanation:

The input was 0 at first

50 - 50 is 0

Hope this Helps

▼・ᴥ・▼

An apple tree measures 20 1/2 feet tal,over the next five years,it grew to the height of 28 feet. What was the average yearly growth of the apple tree

Answers

Answer:

6.4%

Step-by-step explanation:

We solve this question in using the population growth rate formula

P(t) = Po(1 + r)^t

P(t) = Population after t years = 28 ft

Po = Initial Population = 20 1/2 feet or 20.5 feet

r = Growth rate = ?

t = Time in years = 5

Hence:

28 = 20.5 (1 + r)⁵

Divide both side by 20.5

28/20.5 = 20.5 (1 + r)⁵/20.5

1.3658536585 = (1 + r)⁵

5th root both sides.

5√(1.3658536585) = 5√(1 + r)⁵

1.0643411027 = 1 + r

r = 1.0643411027 - 1

r = 0.0643411027

Converting to percentage

r = 0.0643411027 × 100

r = 6.43411027%

Approximately = 6.4%

The yearly growth rate of the apple tree = 6.4%

105 people are going to a movie 6 people can ride in each car how many cars are needed to get all 105 people to the movie

Answers

Answer:

17.5

105 divided by 6 equals 17.5

18 cars are needed to get all 105 people to the movie.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, 105 people are going to a movie 6 people can ride in each car.

Let the number of cars required be x.

Now, x= Total number of people/Number of people in each car

= 105/6

= 17.5

≈ 18

Therefore, 18 cars are needed to get all 105 people to the movie.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?


Enter a unit that best describes the number.

Answers

Answer:

102

Step-by-step explanation:

12 x 9 x 51 = 5508

5508 / 54 = 102

Hope this helps!

Answer:

102.00

Step-by-step explanation:

12 feet high *  9 feet wide * 51 feet long / 54 = the answer

What is the value of X

Answers

Answer:

b. 12

Step-by-step explanation:

[tex] {h}^{2} = {x}^{2} + {y}^{2} \\ {x}^{2} = {h}^{2} - {y}^{2} \\ x = \sqrt{ {h}^{2} - {y}^{2} } \\ x = \sqrt{ {(15)}^{2} - {(9)}^{2} } \\ x = \sqrt{225 - 81} \\ x = \sqrt{144} \\ x = 12[/tex]

Which ordered pair is a solution to the system of equations? 3x 2 3y 5 29 2x 1 y 5 23

Answers

Answer:

Step-by-step explanation:y=3x4y5815

Luke invested $2400 in two accounts. The first account pays 3% simple interest. The second account pays 3% compound interest with interest compounded annually(at the end of each year) After 10 years how much will the second account be worth than the first account?

Answers

The first account would be 720 in simple interest and the second account would be 3238.32 so subtracting would give 2518.32 more with than the first account. Comment if you need the full workings

The second account (compound interest) is worth more than the first account (simple interest) is $105.4.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Luke invested $2400 in two accounts.

The first account pays 3% simple interest.

The second account pays 3% compound interest with interest compounded annually(at the end of each year) After 10 years.

The interest from the first account will be

[tex]\rm Simple \ Interest = \dfrac{2400*3*10}{100} = \$720[/tex]

The interest from the second account will be

[tex]\rm Compound \ interest = 2400(1.03)^{10} - 2400\\\\Compound \ interest = \$825.4[/tex]

Then the second account be worth more than the first account will be

→ $825.4 – $720 = $105.4

More about the compound interest link is given below.

https://brainly.com/question/25857212

ASAP pls pls pls pls pls pls

Answers

Answer:

D is the answer.

[tex]16x {}^{2} - 81 = 0 \\ (4x - 9) \times (4x + 9) = 0 \\ [/tex]

[tex]4x - 9 = 0 \\ 4x = 9 \\ x = \frac{9}{4} \\ or \\ 4x + 9 = 0 \\ 4x = - 9 \\ x = - \frac{9}{4} [/tex]

I ate 4 tacos in 1 day, but I only ate 3 tacos, how many are left?

Answers

Answer:

1?

Step-by-step explanation:

ya is it 1??Step-by-step explanation:

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