A bookmark has an area of 21 square centimeters. Its perimeter is 20 centimeters. What are the dimensions of the bookmark?

Answers

Answer 1

Answer: The dimensions are 7cm and 3cm.

Step-by-step explanation:

The following equation can be deduced from the question

L × W = 21 ....... i

2L + 2W = 20 .......... ii

Divide equation ii through by 2

(2L + 2W = 20) / 2

L + W = 10 ....... iii

From equation iii

L = 10 - W ......... iv

Put equation iv into I

L × W = 21

(10 - W) × W = 21

10W - W² = 21

W² - 10W + 21 = 0

W² - 7W - 3W + 21 = 0

W(W - 7) - 3(W - 7) = 0

W - 3 = 0

W = 0+3

W = 3 centimeter

Since,

Length × Width = 21

Length = 21/3

Length = 7 centimeters

The dimensions are 7cm and 3cm.


Related Questions

Simplify 2.1+(-3.7h)+1.9h-1.4

Answers

The answer is: 0.7 - 1.8h

Alexander is going to invest $1,900 and leave it in an
account for 7 years. Assuming the interest is
compounded monthly, what interest rate, to the nearest
tenth of a percent, would be required in order for
Alexander to end up with $3,100?

Answers

3,100= 1,900 +84x

right since 84 months in 7 years

so 14.3% right?

what is 323 dived by 48?

Answers

323/48=6.73

Hope this helps!!

Name an (input, output) pair on the graph that could be removed from the data set to have the graph represent a function! :)

Answers

I think it would be 12 sorry if I’m wrong

What is mArc SU?

49°
77°
98°
161°

Answers

Answer:

77°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle:

[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]

The mArc SU is option (B) 77 degrees

What is Tangent?

A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

What is secant ?

A secant is a line that intersects a circle in exactly two points.

Here,

By the property of intersecting tangent and secant outside of a circle:

[tex]T=\frac{1}{2}(RU-SU)[/tex]

Here

T= 21 degrees

RU is the mArc RU = 119 degrees

Then,

[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]

SU = 77 degrees

Hence, the mArc SU is option (B) 77 degrees

Learn more about Tangent and secant here

https://brainly.com/question/15178974

#SPJ2

The quotient x of and 3

Answers

Easy :)

Quotient means dividing something by something else.

So,

Quotient of x and 3 is x3

If the question says Quotient of x and 3 minus 8 then you can write it as x3-8

[tex]\large\sf\red{thank \: you}[/tex]

this is too much for me
if you know please answer

Answers

Answer:

-4x + y + 6z

Step-by-step explanation:

Combine like terms (Terms with the same variable):

(2x + 5y - z) + (-6x - 4y + 7z)

Add straight across:

2x - 6x = -4x

5y - 4y = y

-z + 7z = 7z - z = 6z

-4x + y + 6z is your answer.

~

Answer:

-4x +y + 6z (Cyan answer)

Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.

Answers

Answer:

I don't see any answer choices to choose from

Answer:

there is not options to answer

Step-by-step explanation:

Branliest to the smart people i’m stvpid

Answers

-8n^2-8n+3

hope this helps!! :)

whats the ninth term of 25 20 15 10 5

Answers

Given:

The sequence is 25, 20, 15, 10, 5.

To find:

The ninth term of the given sequence.

Solution:

We have,

25, 20, 15, 10, 5

It is an AP because the difference between two consecutive terms are same.

Here,

First term (a) = 25

Common difference (d) = 20-25

                                       = -5

The nth terms of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting a=25, n=9 and d=-5 to get the 9th term.

[tex]a_9=25+(9-1)(-5)[/tex]

[tex]a_9=25+(8)(-5)[/tex]

[tex]a_9=25-40[/tex]

[tex]a_9=-15[/tex]

Therefore, the ninth term of the given sequence is -15.

Which equation can be represented using the number line?

A. 3/4 ÷ 1/8 =6
B. 1/8 ÷ 3/4 =6
C. 6 ÷ 3/4 =1/8
D. 6 ÷1/8 =3/4

Answers

The answer is A because there is 6 loops and if you divide 3/4 divided by 1/8 you get 6

subtract 12a² + 15ab - 20b² from 15a² + 10ab + 8b²

help.​

Answers

Answer:

3a^2 + 28b^2 - 5ab

Step-by-step explanation:

here's your solution

=> to subtract (12x^2 + 15ab - 29b^2) from

( 15a^2 + 10ab + 8b^2)

=> (15a^2 + 10ab + 8b^2) - (12a^2 + 15ab - 20b^2)

=> 15a^2 + 10ab + 8b^2 - 12a^2 - 15ab + 20b^2

=> 15a^2 - 12a^2 + 8b^2 + 20b^2 + 10ab - 15ab

=> 3a^2 + 28b^2 - 5ab

hope it helps

What is the simplified algebraic expression?
4x – 5
–8x – 5
–8x + 10
–8x – 10

Answers

The simplified version is -8x+10

GIVING BRAINLIEST Find the surface area of the net below

Answers

Answer:

119

Step-by-step explanation:

1/2x5x7x4+7x7

can I have the brainliest ?

Answer:

119 m

Step-by-step explanation:

First find the square 7x7 = 49m

Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5

17.5 * 4 = 70m

70m + 49m = 119m

3 x 8/4 ?????????????//////

Answers

Answer:

6

Step-by-step explanation:

8/4 = 2 so 3*2=6

Find the value of x.

Answers

Answer:

10

Step-by-step explanation:

7x+5 = 9x -15

5 = 2x -15

2x = 20

x = 10

Calculate the length of the side LN given the following data for 37°.

Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754

pls help ASAP

Answers

Answer:

It is given that,

Sin 37° = 0.602

Cos 37° = 0.790

Tan 37° = 0.754

To find:

The length of side LN.

Solution:

In a right angle triangle,

[tex]\sin\theta =\dfrac{Perpendicular}{Base}[/tex]

Using this in triangle LMN, we get

[tex]\sin (37^\circ) =\dfrac{LM}{LN}[/tex]

[tex]0.602=\dfrac{6}{LN}[/tex]

[tex]0.602LN=6[/tex]

Divide both sides by 0.602.

[tex]LN=\dfrac{6}{0.602}[/tex]

[tex]LN=9.966777[/tex]

[tex]LN\approx 9.97[/tex]

Therefore, the correct option is C.

simplify the expression 2(j+1)+j​

Answers

Step-by-step explanation:

I hope this helps. ans:3j+2

Answer:

3j+2

Step-by-step explanation:

you need to distribute 2(j+1) which gonna lead you to 2j+2 then you add another j which is 3j+2

6 ) hey pls help me with his I have the answers all I need is to show the work

Consider angle B in the diagram below . What is the length of “opposite side” to angle B?

Answer: a

Answers

Answer:

8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+6^2=10^2

a^2=10^2-6^2

a^2=100-36

a^2=64

a=square root of 64

a=8

A figure has side lengths as marked in the diagram.
What is the area of the figure?

Answers

Answer:

132.4

Step-by-step explanation:

Mr. Takaya can eat three slices of pizza in five minutes. If he continues to eat at the same rate, how many slices
could he eat in half of an hour?

Answers

Answer:

18.

Step-by-step explanation:

3 x 6 = 18. He eats 3 slices every 5 minutes so 5 minutes x 6 is half an hour. so 18 is your answer.

If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

What is the Linear equation in one variable?

The Linear equation in one variable is an algebraic equation of degree one.

it can be expressed in the form of Ax +B = 0 where x is a variable, and A and B are two integers.

Takaya can eat three slices of pizza in five minutes.

for half an hour it would be 6 times five minutes.

So, in half an hour Takaya can eat 3 × 6 = 18

Therefore, If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.

Learn more about Linear equations in one variable here:

https://brainly.com/question/2501033

12 POINT HURRY HURYRJXNXNDJDJDNDN

Answers

Answer:

The fourth choice, Pink, is the correct answer.

Step-by-step explanation:

The first two options intersect, therefore the intersection is the solution. The third set of lines may seem like one line, however since we are dealing with two linear equations, it can be presumed that those are two lines on top of one another, therefore it has infinite solutions. The last option remaining is Pink, in which the lines are parallel and therefore will never intersect, making them have no solution.

can someone help me? 8th grade math

Answers

9514 1404 393

Answer:

  a. 5^-3

  b. 14^18

  c. 8^9

  d. 16^3

  e. 21^-18

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

a) 5^(3-6) = 5^-3

b) 14^(3·6) = 14^18

c) 8^(3+6) = 8^9

d) 16^(6-3) = 16^3

e) 21^(3(-6)) = 21^-18

On a recent day,8euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros. The equation is y=? NEED HELP!!!! Hey

Answers

On a recent day, 8 euros were worth $11 and 40 euros were worth $55. Enter an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. First solve k which is the slope so k = ( 55- 11) / ( 40 -8) = 1.375
Y= 1.375x

Answer:

1.3

Step-by-step explanation:

Question: On a recent day,8 euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

Notes:

8 euro= $1132 euro= $44

Need:  Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.

In Y = K X

    |         |

    |         numbers of euros.

    value in dollars

Our first number: 8 euro = $11

Y=11

X=8

Then Convert:

11=K8

11=K*8 ---> 8*K=11

8K=11

11/8= 1.3

K=1.3

From your not so smart brainly user

The temperature in Minneapolis was
-9°F. The next day, the temperature was warmer than -9'F
Write an inequality which is true only for temperatures t that are warmer than -9°F
HELP ME !!

Answers

-9°F < t
Should be it

Answer:

x>-9F

Step-by-step explanation:

x is all possible temperatures greater than -9F

classify and degree 2x+7​

Answers

Answer:

Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Step-by-step explanation:

victor are 60 de lei si merge la florarie pentru a-i cumpara mamei sale un buchet de flori. daca ar cumpara 9 garoafe si 4 trandafiri, ar plati 47 de lei. daca ar cumpara doar trandafiri, toti banii i-ar ajunge pentru 12 bucati. insa el cumpara 13 flori (garoafe si trandafiri) si ramane cu 5 lei rest, cate garoafe si cati trandafiri a cumparat victor?

Answers

Answer:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

Step-by-step explanation:

Pasul 1

Să reprezentăm:

Costul garoafelor = c

Costul trandafirilor = r

Victor are 60 de lei și merge la florărie să-i cumpere mamei sale un buchet de flori.

Dacă ar cumpăra 9 garoafe și 4 trandafiri, ar plăti 47 de lei.

Prin urmare,

9c + 4r = 47 ..... Ecuația 1

Dacă ar cumpăra doar trandafiri, toți banii ar fi suficienți pentru 12 bucăți.

Prin urmare,

12 trandafiri = 60 lei

1 trandafir = r lei

Cross Multiply

12r = 60 lei

r = 60 lei / 12

r = 5 lei

1 trandafir costă 5 lei

Înlocuim 5 cu r în ecuația 1

9c + 4 × 5 = 47

9c + 20 = 47

Colectează ca termeni

9c = 47 - 20

9c = 27

c = 27/9

c = 3 lei

Costul unei garoafe este de 3 lei

Pasul 2

Dar cumpără 13 flori (garoafe și trandafiri) și rămâne cu 5 lei rămași,

60 lei - 5 lei = 55 lei

Asta înseamnă că a cheltuit 55 de lei pe 13 flori.

Lasă

Număr de trandafiri = x

Numărul este garoafe = y

x + y = 13 ......... Ecuația 1

x = 13 - y

Din moment ce, Costul unei garoafe = 3 lei și 1 trandafir = 5 lei

3x + 5y = 55 ...... Ecuația 2

Înlocuim 13 - y cu x în ecuația 2

3x + 5y = 55

3 (13 - y) + 5y = 55

39 - 3y + 5y = 55

Colectează ca termeni

- 3y + 5y = 55 - 39

2y = 16

y = 16/2

y = 8

Rezolvarea pentru x

x = 13 - y

x = 13 - 8

x = 5

Prin urmare:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

President Jackson favored state banks over the Second Bank of the United States because he
believed
A.
the Constitution called for a series of state banks.
B.
state banks should issue a uniform national currency.
C.
the Bank could not control the nation's loans.
D.
the Bank had too much power over the nation's economy.

Answers

I believe it’s D! Good luck!

Can someone please help me with #2,3,5 ( for Brainliest)

Answers

Answer:

2) m∡1 = 100°

3) m∡2 = 40°

4) TD

5) m∡1 = 67°

Step-by-step explanation:

A butcher has 15 and 3/4 pounds of steaks and portions them into 7 sealed packs. How many pounds does each pack of steak weigh? *

Answers

Answer:

9/4 or 2 and 1/4 pounds

Step-by-step explanation:

Convert 15 and 3/4 into an improper fraction

15*4+3 = 63

63/4

63/4 ÷ 7

9/4

Thus, each pack weighs 9/4 pounds

Answer:

2 1/4 pounds each

Step-by-step explanation:

Convert 15 1/4 into a decimal (15.75) then divide by seven (15.75 ÷ 7 = 2.25)

and then convert 2.25 back into a fraction, 25 is 1/4 of 100 so the answer is 2 1/4

Other Questions
What do Israel and Turkey have in Common?neither have a Presidentneither allow women to vote both are partiamentary democraciesboth have similar voting age requirements Multiple ChoiceUse the diagram below to answer questions 13.Which angle is congruent to angle 1? A. angle2 B. angle5 C. angle6 D. angle7 A rectangular prism has a length of 5 centimeters, a height of 6 centimeters, and a width of 9 centimeters. What is its volume, in cubic centimeters?Please help :( Pacheco Inc. issued convertible bonds 10 years ago. Each bond had an initial term of 30 years, had a face value of $1,000, paid a coupon rate of 11%, and was convertible into 20 shares of Pacheco stock, which was selling for $30 per share at the time. Since then the price of Pacheco shares has risen to $65 and the interest rate has dropped to 8%. What is the least that each of the bonds is worth today What are the advantages of operating a business in an ethical manner?Select all that apply.The business can build customer loyalty.The business can profit from reduced safety regulations.The business can attract and retain talented employees.The business can avoid legal issues. Jonas has a deck of 40 cards. After giving each player in the game an equal number of cards, he has four cards left over, which is not enough to give each player another card. How many players could be in the game? which word is misspelled in the sentence a university of pennsylvania professor defines grit as the persverance and passion a person has to achieve their long term goalsA. professor B. perseverance C. passionD. achieve What is a natural resource? Give 3 examples. how many times larger is 4.5 times 10^6 than 4.5 times 10^4 If f(x) = 5x2 6x + 13 and g(x) = 6 4(x 1) which is an equivalent form of f(x) + g(x)? Lani opened a savings account with$450. She saves $225 per month. Whichequation shows how many months, m,Lani would have to save to have a total of$1575 in her account?A 1575=-450/225B 1575 = 450m +225mC 1575 = 450 +225mD 1575 = 225 +450m How did other regions portray Mali as a site of exchange? Write a comparative paragraph that looks at the similarities and differences between how North African and Arab sources, and West African sources described Mali as a site of exchange.(plz answer) Please answer number 25 4. T/F Europe has a generally flat and open topography that has left the continent vulnerable to invasion. What do u need to know? Answer the questions about the followingpolynomial.10x4 + 1 - 73The expression represents apolynomial withterms. The constant term isthe leading term isand theleading coefficient is a pair of boots were $45 they were on sale for $38.25 what percent were they off 2. What were Greek schools called? What subjects did Greek boys study? Howdid they do their lessons? What did Greek girls study? At an Auto Repair shop, 4 of the 16 cars received oil changes. What percent of the cars received oil changes? List changes to farm rules or policies that occur in chapter 8. You should list at least 5.