Among all rectangles that have a perimeter of 202, find the dimensions of the one whose area is largest. Write your answers as fractions
reduced to lowest terms.

Answers

Answer 1

Answer:

How to write by fraction? 50 1/2 by 50 1/2

Step-by-step explanation:

the maximum area for a rectangle is a square.

To find a square with p = 202, divide it by 4,

202 / 4 = 50.5


Related Questions

Write a compound interest function to model the following situation. Then, find the balance after the given number of years. $16,000 invested at a rate of 1.2% compounded monthly;7 years

A. A=16,100 (1.001)^7t; $17,469

B. A=16,100 (1.1)^12t; $6,766,377,209

C. A=16,100(1.001)^12t; $17,510

D. A=16,000(0.001)^12t; $24,150

Answers

Answer:

The answer to this question is:

A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]

The balance after 7 years will be $17409.

How to calculate the compound interest if it is compounded monthly?

Let, P = the principle amount

r = the rate of interest, compounded monthly

t = the time period

Therefore, the amount will be

[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]

Given, the invested amount is $16000.

The rate of interest is 1.2%, compounded monthly.

Total duration of investment is 7 years.

Therefore, the model function of this compound interest is:

= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]

The amount will be

[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]

Therefore, after 7 years, the amount will be $17409.

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im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points....

Answers

Answer:

D

Step-by-step explanation:

1/12 X 110 = .0833333333 x 110 = 9.16

D. 9

Step-by-step explanation:

110÷12 = 9.1 however just round down to 9

since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it

If y varies directly as x and x=6 when y = 3 what will y be when x = 10

Answers

Answer:

y = 5

Step-by-step explanation:

Plz I need to know this

Answers

it would be a triangular prism

Answer:

triangular prism

Step-by-step explanation:

Please Help!!!!!!!!!!

Answers

Answer: Yes, because there are at least two claims

Step-by-step explanation:

Ur welcome 3>

Find the volume of the following figure using unit cubes.

Answers

Answer:

Volume : 94

Step-by-step explanation:

2(4 x 5) = 40

2(3 x 5) = 30

2(3 x 4) = 24

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

40 + 30 + 24 = 94

Aaron has a pencil that is
foot long.
foot long. He has a pen that
is 0.7 foot long. Measured in
feet, how much longer is Aaron's
pencil than pen?

Answers

Answer: 0.1 ft longer

4/5 = 0.8

0.8 - 0.7 = 0.1

5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd

Answers

15.6 . hope this helps

What fraction of the whole are the blue piece, the orange piece, the red piece, and the purple piece. How do you know?

Answers

red: 2/4
blue: 1/4
Purple: 1/4

Answer:

blue piece is 1/2 because it takes up half of the square, the purple is only 1/4 because it would take 4 purple to fill the big square and the orange is half of the purple so it takes double of pieces so 8 pieces which is 1/8

Timothy swam 24 laps . Frank swam 72 laps. How many times as many laps did frank swim than timothy?

Answers

Answer:

3

Step-by-step explanation:

[tex]72[/tex]÷[tex]24=3[/tex]

Find 50% of 84
Find 25% of 84
Find 75% of 84

Answers

Answer:

1. 42

2. 21

3. 63

Step-by-step explanation:

Hope this helps have a nice day!

Answer:

1) 42

2) 21

3) 63

Step-by-step explanation:

1)

50% = 0.5

84(0.5) = 42

2)

25% = 0.25

84(0.25) = 21

3)

75% = 0.75

84(0.75) = 63

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Answers

58x9= 522
26 - 522 = -496

Answer:

-496

Step-by-step explanation:

it's right :)

Pls awnser i will give brailiest

Answers

Answer:

A. 124

Step-by-step explanation:

first i found the area of the circle which is 113

then i multiplied that which gave me 452

then i used what's given "6" for a half circle and multiplied it by 4 and that gave me the size of one side of the square 24

then i multiplied 24 x 24 which is 576 the area of the square

lastly i subtracted 576-452

Brainliest pls

Isaiah ran 100 meters on a 200 meter track. He started running on the 19 meter mark. On what Mark did he finish his run

Answers

Answer:

119

Step-by-step explanation:

19+100=119

Depends on the amount of marks but if there are 200 then the answer would be 119

Complete the statement. Enter your answer in the box. Use fraction strips or number lines to help.

Answers

Answer:

you did not post a question?

Step-by-step explanation:

What is the constant in 24y-8

Answers

Answer:

8 ( 3 − 1 )

Step-by-step explanation:

3/4(1/4x + 8) - (1/2x + 2) = 3/8(4-x) - 1/4x
What is the value of x?

Answers

Step-by-step explanation:

0.75(0.25x+8)-(0.5x+2)=0.375(4-x)-0.25x

0.1875x+6-0.5x-2=1.5-0.375x-0.25x

0.1875x-0.5x+0.375x+0.25x=1.5-6+2

0.3125x=-2.5

x=-2.5/0.3125

x= -8

A circular wheel has a diameter of 42 cm. How far will it roll in 5
revolutions?​

Answers

Answer:

3.142

Step-by-step explanation:

Answer:

659.75 cm

Step-by-step explanation:

First, find the circumference with the formula C = 2[tex]\pi[/tex]r

The diameter is 42 cm, so the radius will be 21 cm

Plug in the radius into the equation and solve for C

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](21)

C = 131.95

Find how far it will roll by multiplying this by 5

131.95(5)

= 659.75

So, in 5 revolutions, it will roll 659.75 cm

What is the area of 25mm circle

Answers

Step-by-step explanation:

490.87 square inches

3.4088 square feet

0.37876 square yards

3,166.9 square centimeters

0.31669 square meters

In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest
tenth of a cm, how long is that leg?

Answers

Answer:

36.5 cm

Step-by-step explanation:

The Adjacent leg is 36.5 cm

What are trigonometric functions?

"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."

What is hypotenuse, opposite and adjacent side of a right angled triangle?

"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."

We have

Hypotenuse (AB) = 58 cm

Angle θ = 51 degree

From the figure, by using trigonometric functions

Cos θ = [tex]\frac{BC}{AB}[/tex]

we have to find BC

Cos [tex]51^{0}[/tex] = [tex]\frac{BC}{AB}[/tex]

We have, AB = 58 cm

BC = AB cos [tex]51^{0}[/tex]

⇒BC = 58 . cos [tex]51^{0}[/tex]

⇒BC = 36.50 cm

⇒BC = 36.5 cm

Hence, Adjacent leg is 36.5 cm

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What is the unit rate for the ratio 4/7: 8/21?

Answers

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

[tex]Ratio = 4/7 : 8/21[/tex]

Required

Determine the unit rate

To do this, we need to express the ratio as:

[tex]Ratio = m : 1[/tex]

Where m is the unit rate

[tex]Ratio = 4/7 : 8/21[/tex]

Express as fraction

[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]

Solve

[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Express as ratio

[tex]Ratio = 1.5 : 1[/tex]

Hence, the unit rate is 1.5

The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool

Answers

Answer:

59m

Step-by-step explanation:

Length= 3 × ( width)

But perimeter= 2width + 2 Lenght= 472

Let length= X

Width= Y

X= 3Y.........eqn(1)

2X + 2Y= 472........eqn(2)

Substitute X= 3Y in eqn(2)

2(3Y) + 2Y = 472

6Y + 2Y= 472

8Y= 472

Y= 59 m

Hence, the width of the pool is 59 m

What is the value of x?

Answers

Answer: 15

Step-by-step explanation:

x-6/(x-6)+3 = x/x+5

The x in the equation is 15


Find the 11 term of the following geometric sequence.
10, 40, 160, 640, ...

Answers

Answer:

099 787 989

Step-by-step explanation:

GIVING 30 POINTS!!!!!!!

Answers

Answer:

MEAN

Step-by-step explanation:

Have a Great Day!

Answer:

Not quite sure, but I think its the mean?

Katie make $63.70 babysitting for 6.5 hours how much money does she make per hour

Answers

Answer:$9.8

Step-by-step explanation:

I divided 63.70 by 6.5 and got 9.8 I checked my workers by multiplying 9.8 and 6.5 to get me with 63.70

Evaluate x^4 • x^-2 when x = 5

Answers

Answer:

x^4 • x^-2 = x^6

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<ONP and <MNP

Step-by-step explanation:

ONP and MNP is the answer

Find the perimeter of quadrilateral ABCD. Round your answer to the nearest hundredth. A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Answers

Answer:

Perimeter = 4(√2 + √5) units

Step-by-step explanation:

Given:

Quadrant of 4 points;

A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Find:

Perimeter

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(3 - 1)² + (5 - 3)²

Distance between AB = √4 + 4

Distance between AB = 2√2 units

Distance between BC = √(1 - 3)² + (3 + 1)²

Distance between BC = √4 + 16

Distance between BC = 2√5 units

Distance between CD = √(3 - 5)² + (-1 - 3)²

Distance between CD = √4 + 16

Distance between CD = 2√5 units

Distance between DA = √(5 - 3)² + (3 - 5)²

Distance between DA = √4 + 4

Distance between DA = 2√2 units

Perimeter = sum of all sides

Perimeter = 2√2 + 2√5 + 2√2 + 2√5

Perimeter = 4√2 + 4√5

Perimeter = 4(√2 + √5) units

Housing Price.The file calledsaratoga.JMPcontains data on 1728 houses in Saratoga, NewYork in the year 2006. The dataset includes many features of houses such as the selling price($), total living area (square feet), age (years), value of the land ($1000) the house was buildon, number of bedrooms and bathroom. We want to predict the selling price of a house ($)based on the total living area.(a) Identify the response variable (y): (Choose one.)i. total priceof all houses in the U.S.ii. average priceof houses in the U.S.iii. priceof a house in Saratoga, N.Y.

Answers

Answer:

iii. priceof a house in Saratoga, N.Y.

Step-by-step explanation:

In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.

Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.

In this question:

Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.

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