A bookmark has an area of 14 square centimeters and a perimeter of 18 centimeters. What are the dimensions of the bookmark?

Answers

Answer 1

Answer:

2 x 7

Step-by-step explanation:

a * b = 14

2a + 2b = 18

(a * b)/b  = 14/b Dividing both sides by b

a = 14/b

Substitute a in the perimeter equation

2(14/b) + 2b = 18

28/b + 2b = 18

2b - 18 + 28/b = 0

Multiply both sides by b

2b^2 - 18b + 28 = 0

Divide both sides by two

b^2 - 9b + 14 = 0

The Factors of 14 include -2 and -7 which add up to -9

(b - 2) * (b - 7) = 0

This has two answers because b can be either the side that is 2 long or 7 long, so there's no need to go back and solve for a.

2 x 7


Related Questions

Estimate -54² to the nearest integer​

Answers

2916? What do we have to estimate by? 10s? Hundreds?

My lizard Isabella is 4 2/6 inches long. My lizard Kendall is 2 times as long. How long is my lizard Kendall?

8 4/12
8
8 2/6
8 4/6

Answers

The answer would be 8 4/6
Just do 4 2/6 *2= 8 4/6

Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance

Answers

Answer:

9.5

Step-by-step explanation:

Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.

Step 1

We find the Mean of the numbers

Mean = Sum of terms/ Number of terms

Mean = 9+12+9+14+6/5

= 50/5

= 10

Step 2

We find the sample variance

Formula =

(x - Mean)²/n - 1

n = 5

= (9 - 10)²+(12 -10)²+(9- 10)²+(14-10)²+(6-10)²/5 - 1

= 1+ 4+ 1+ 16+16/5 - 1

= 38/5 - 1

= 38/4

= 9.5

Therefore, Sample variance = 9.5




Find the area of a rectangle with a base of 5 feet and a height of 9.5
feet. *

Answers

Answer:

47.5 ft^2

Step-by-step explanation:

5x9.5 = 47.5 ft^2

47.5 ft^2 should be it

What is the measure of angle A?

Answers

Answer:

∠ A = 35°

Step-by-step explanation:

The measure of the tangent- tangent angle A is half the difference of the intercepted arcs.

minor arc = 145°

major arc = 360° - 145° = 215°

Then

∠ A = [tex]\frac{1}{2}[/tex] ( 215 - 145) = [tex]\frac{1}{2}[/tex] × 70° = 35°

Steve uses 14 blue beads and 6 green beads to make a bracelet.
Which ratio compares the number of blue beads to the total number of beads in one bracelet?

Answers

Answer:

blue:total

14:20

Answer:

14:20

Step-by-step explanation:

because 14 + 6= 20 so blue beads are 14 and the other is alltogether 20 so it is 14:20 or 14 to 20

HELP giving brainlest and more points

Answers

Answer:

[tex]8^{-5}[/tex]

Step-by-step explanation:

[tex](8^{-8})(8^3)\\8^{-5}[/tex]

Exponent equation:

3 - 8 = -5

So this the remaining exponent

What is the median of the numbers 1,3,3,4,4,4,5,5,6,7,7,7
Please help quick giving 20 points

Answers

Answer:

4.5

Step-by-step explanation:

Which of the following numbers are greater than 6 and less then 8? Explain how you know. ??????

Answers

Answer:

7 is the answer

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

when you put it into a calculator it equals 7.74596669241

which is more than 6, but less than 8

A furniture store bought a couch for $425 and marked the price up by 70%. Angela bought the couch with a 6% tax. How much did Angela payoff the couch?

Answers

Answer:

454.68

Step-by-step explanation: so this is how u do it......

Step 1)  you need to turn the pursent into this kind of number ( 70% = 0.07)

Step 2)your need to subtract from the couch price (425$ - 0.07= 424.93)

Step 3)  424.93  is the sale price so 0.07 times 424.93 = ( 29.7451)

Step 4) 29.7451 is our tax price so ( tax + sale price )  29.7451 + 424.93 = 454.6751

Step 5) round to the nerest cent = 454.68

Question: what would be the vertical intercept of the line and what would it represent? Help me please ill give brainliest

Answers

The vertical intercept is 450, as the population is going down by 20 each hour. It represents the starting population as 0 hours it is 450.

sum1 help
me!!!!!!!!!!!

Answers

That and is 13 hope it right

what is the distance between -a and a

Answers

Answer:

2a

Step-by-step explanation:

-a + a = 0, 0 + a = a. Therefore -a + 2a = a

Watch help video
What is the equation of the line that passes through the point (-4,-2) and has a
slope of - 1/2

Answers

(-4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2. y = 1/2 x +4 final answer

URGET: Inscribed Angles
Find the measure of angle R.

Answers

Answer:

∠ R = 50°

Step-by-step explanation:

The inscribed angle R is half the measure of its intercepted arc QS

QS = 360° - (120 + 140)° = 360° - 260° = 100° , then

∠ R = 0.5 × 100° = 50°

Solve for the x.
Assume the segments that appear to be tangent are tangent.

Answers

4.5 i think im really not sure check with someone else before answering

Which of the following correctly names a side of the triangle below?
А. 20
В. ДАВС
C. B

D. AB

Answers

The answer is AB.
I think no that is right

a tv has a price of $895.95 before tax. if the sales rate it 9.35% find the total cost of the tv with the sales tax included

Answers

Answer:

979.72

Step-by-step explanation:

First find the amount of tax

895.95 * 9.35%

Change to decimal form

895.95 * .0935

83.771325

Rounding to the nearest cent, tax is 83.77

Add this to the cost of the tx

895.95 +83.77

979.72



[tex] \sqrt{72} [/tex]
whats the answer​

Answers

6^2- 6 square root 2

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\sqrt{72}}[/tex]

[tex]\mathsf{\sqrt{36\times2}}[/tex]

[tex]\mathsf{\sqrt{36}\ \sqrt{2}}[/tex]

[tex]\mathsf{\sqrt{36}=\bf 6}[/tex]

[tex]\mathsf{\sqrt{2}=\bf 2}[/tex]

[tex]=\bf\ 6\sqrt{2}[/tex]

[tex]\mathsf{\sqrt{71}\approx\bf 6\sqrt{2}}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer: \bf 6\sqrt{2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Juicy's business Sweet Sauce is profiting at a rate 20,000 dollars per month. The starting balance in Sweet Sauce's account for 2020 was $50,000. How much money will be in Sweet Sauce's account after July 31st? Write an equation for this problem and answer the question. How much money will be in the account after 2 years?

Answers

Answer:

-The equation for this problem is:

y=50,000+20,000x

-The money in Sweet Sauce's account after July 31st is $190,000

-The money in the account after 2 years is $530,000.

Step-by-step explanation:

With the information provided, you can say that the money in the account would be equal to adding up the starting balance plus the profit per month for the number of months that have passed, which is:

y=50,000+20,000x, where:

y is the money in the account

x is the number of months that have passed

Now, to find the amount of money in the account after July 31st, you have to consider that this is the 7th month and you have to replace x with 7:

y=50,000+(20,000*7)

y=50,000+140,000

y=190,000

Also, to find the amount the amount of money in the account after 2 years, you have to consider that 2 years is equal to 24 months:

y=50,000+(20,000*24)

y=50,000+480,000

y=530,000

A radioactive material decays over time. Find k, if
500 grams of this material decays to 450 grams in 10 years.
(Accurate to 4 decimal places.)

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

I've been asking this question for 3 days, can someone please help me. I need to do all my math work before I can start ice skating again and all I want is some help ​

Answers

Answer:

Step-by-step explanation:

If two polygons (in this case triangles) are similar, the ratio of their corresponding sides is constant (SSS)

If two polygons have equal corresponding angles, they are similar (AA)

If two polygons have two corresponding similar sides and the corresponding angle in between the sides are equal, the two polygons are similar (SAS)

Using this info, we can decide whether the triangles are similar or not

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

I have uploaded #5 and #8

csc(x) = 2
solve this

Answers

Answer:

mathpapa.com

Step-by-step explanation:

Which is Not a congruence statement

Answers

Answer:

<B=<D

Step-by-step explanation:

This is becasue angle B is 90 degrees while angle D is 29 degrees.

the answer is a. if you look at the angles B and D they are not congruent

can u help me with this ​

Answers

Answer:

245 degrees

Step-by-step explanation:

The circle is 360 degrees and you have only found 55 and 60  you add those together and you will get 115 to find jk you first add the numbers you have then minus them with 360 because its a circle. 360-115 will be 245 that would be your answer.

Answer:

120 degree

Step-by-step explanation:

jn-60 vwrtical oopsite angle

nk 180

jk 180-60

The drama club is ordering t-shirts for its members. A local t-shirt company charges $83.95 to set up the design plus $7.45 for each shirt. The drama club has budgeted $300 to spend on t-shirts.

Write an equation that you could solve to find the maximum number of shirts the drama club can order. Be sure to define your variable.​

Answers

Answer:

The max # of shirts they can order is 29

Step-by-step explanation:

300 = 83.95 + 7.45x

216.05 = 7.45x

x = 29

Answer:

Step-by-step explanation:

83.95+7.45=  91.4

so they have

300

- 91.4

--------

208.6

so after they still have money left

7
x 16
00
What is the correct answer for this problem?

Answers

Answer:

11200

Step-by-step explanation:

is that right

what is a reasonable estimate of the probability that the next tucker family vacation lasts less than 3 days?

Answers

Answer:

i cant estimate it but i think 4

If TWO^2 = THREE where the alphabets are single-digit integers then find T + W + O​

Answers

(This Message Was Deleted By Author.)

what's the correct answer??​

Answers

Answer:

Volume of the larger one = 476.5625

Step-by-step explanation:

Remark

This is a terrific little problem. Thanks for posting. I hope the answer is still useful to you. If the cylinders are similar it means that r and h are multiplied by a constant when moving from the smaller cylinder to the larger one. Everything else, believe it or not, remains the same.

Equations

Surface area of the smaller cylinder = 2pi*r^2 + 2pi*r*h

Surface area of the larger cylinder = 2*pi*(kr)^2 + 2pi*(kr)*(kh)

Surface area of the larger cylinder = k^2 (2*pi*r^2 + 2pi* r*h)

Solution

Surface area of the larger cylinder = k^2 (2pi*r^2 + 2pi*r*h)

=============================      ==================

Surface area of the smaller cylinder         (2pi*r^2 + 2pi*r*h)

surface area of the larger cylinder = k^2

surface are of the smaller cylinder = 1

200 / 128 = k^2 / 1      Divide the top and bottom of the left by 8

25 / 16 = k^2               Take the square roots of both sides

sqrt(25/16) = sqrt(k^2)

5/4 = k

Now work on the volume.

The volume of the larger cylinder = pi (kr)^2 (kh) = k^3 * pi * r^2 h

The volume of the smaller cylinder =                                pi * r^2 h

The volume of the larger cylinder to the smaller one = k^3 = 1.953125

x / 244 = 1.953125       Multiply both sides by 244

x = 1.953125 * 244

x = 476.5625

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