The length of a rectangle is 9 inches longer than the width. If the area is 205 square inches, find the
rectangle's dimensions. Round your answers to the nearest tenth of an inch.

Answers

Answer 1

Answer:

L=19.5in w=10.5in

Step-by-step explanation:

Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9

Area is (width)(Length) = (width)(width+9)

W

----------

| |

| |

| | L = w+9

| |

| |

-----------

A = (w+3)(w)

A = w2 + 9w = 205.

(Problem states that area is 205 sq in)

Need to solve this quadratic equation

w2 + 9y - 205 = 0

Factor:

(w - 10.51) (w + 19.51) = 0

So

w - 10.51 = 0. or. w + 19.51 = 0

Solve these and get

w = 10.51. or. w = -19.51

Only one that makes sense in real life is the positive one.

So the dimensions are

Width = 10.51 inches

Length = 19.51 inches


Related Questions

Joshua's total monthly income is $2850. His rent is $750, his car payment is $350, his car insurance is $117, and his renters insurance is $58. How much money does Joshua have left after he pays his fixed expenses? Enter the answer as a whole number, such as: $500

Answers

$1517 because i worked it on a calculator

n
Which expression has twice the value of 2-2.2-2.2?

Answers

Answer:

2^5

explanation:

I did this already man this is easy

pls help me out and thx for who answers this​

Answers

Answer: 3: 42.49

Step-by-step explanation:

_________________________________

Hey!!

Solution,

Marked price (MP)=$ 49.99

Discount percent=15%

Sale price (SP)=?

Now,

Discount amount=discount% of MP

=15% of 49.99

=$7.4985

Again,

Sale price=MP- Discount

=49.99-7.4985

=$ 42.49

So the sale price is $42.49

Hope it helps..

Good luck on your assignment

_____________________________

Please help me. Giving all these points for correct answer.

Answers

Answer:

7.722 cm^2.

Step-by-step explanation:

The area required is 1/4 of the difference of the area of the square and the circle.

The radius of the circle = 1/2 * 12 = 6 cm.

The area required = 1/4 * (12^2 - 3.142 * 6^2)

=7.722 cm^2.

Answer:

7.72500

Step-by-step explanation:

Here are the steps for and problem like this one.

Write an inequality to represent the situation.Remove Parenthesesmultiply the numbers (in this case it would be 2×3=6)Subtract the numbers (in this situation it would be -54 - 6 = - 60)

PLEASE HELP! SEE ATTACHMENT
it's algebra graphing

Answers

Answer:

a- g(x)= 4/5 x -3

b- slope is 4/5

c-  vertical intercept is y= -3 when x=0

Step-by-step explanation:

Vertical compression : 4/5 f(x)

shift left you add f(x) +1

shift down you subtract : f(x)-1

the result is g(x) = 4/5 f(x) +1-4

pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the bizzell Gallery. Pierre earns $10,800 this month. what is the total dollar value of the art that he sells?

Answers

Answer:

$43,200

Step-by-step explanation:

25% is 1/4 of the total dollar value, to find the answer we need to multiply 10,800 by 4 (it is 1/4, and the answer will be equivalent to the 4/4)

10,800 * 4 = 43,200

The total dollar value of the art that he sells is 43200 dollars.

What is percentage ?

Percentage is the value per hundredth.We can also convert percentages into decimals by dividing he percentage value by 100.

According to the given question Pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the Bizzell Gallery. Pierre earns $10,800.

∴ 25% of the total value is 10800 dollars.

Assuming total value to be x dollars.

So, (25/100)x = 10800

(1/4)x = 10800

x = 10800 × 4

x = 43200 dollars.

learn more about percentage here :

https://brainly.com/question/27139643

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A cone holds 450 gallons of water. How many gallons of water will a cylinder hold if it has the same base area and height as the cone?

Answers

Answer:

the length is 50 gallons

Step-by-step explanation:

If two right triangles each have a 30° angle, then the
triangles must be
a equilateral
b.similar
C. obtuse
D. congruency

Answers

Answer:

b. Similar

Step-by-step explanation:

Although angles are congruent the triangles are not as sides need to be the same too.  Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.

Because the angles are congruent and sizes are not shown they must be similar.

They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.

They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.

They are not fully congruent as we do not know there side measures so they have to be similar.

Answer:

B

Step-by-step explanation:

Two triangles are similar when they share at least two angles and the only difference is size.

the diameter of a circle is 5 ft. Find the circumference TO THE NEAREST TENTH

Answers

Answer:

15.7

Step-by-step explanation:

3.14(5)

Remove the parentheses and simplify the expression.
2(2y-5)-8

Answers

Answer:

4y-18

Step-by-step explanation:

2(2y)+2(-5)-8

4y-10-8

4y-18

Hope this helps!

Answer:

2x2y - 2x5 -8

4y - 10 -8

4y -18

WILL MARK AS BRAINLIST



Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0

a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4

Answers

Answer:

C

Step-by-step explanation:

4x-5y=0

5y=4x

y=4x/5, or rather y = (4/5)*x

k thus equals 4/5, and that is your constant of variation.

Answers: Yes, direct variation, k=4/5

The sum of the ages of Jan and George is 65. In 10 years, Jan will be 4 times as old as George.

Set up the system of equations and solve for how old Jan and George are now.

Answers

Answer:

J - Age of Jan

G - Age of George

J + G = 65

J+10 = 4(G+10)

Step-by-step explanation:

Which question can best be answered by finding the volume of a figure?
How much gas is needed to fill a gas tank?
How much wrapping paper is needed to cover a prism?
How much wood is needed to frame a window?
How much material is needed to line a garden with a sheet of weed-blocking material?

Answers

Answer:

The first one i think

Step-by-step explanation:

Bc the amount of gas inside a gas tank is the length times width times height

and the other answers are just area or surface area i think

i might be wrong tho

Answer:

the first answer

Step-by-step explanation:

because volume is the inside of the shape

pls help (mathematics)

Answers

Answer:

Answer is C.

Step-by-step explanation:

When radius is 1, the volume is 4. When radius is 2, it's 32. Which means It becomes 8 times bigger because 32 divided by 4 (32/4) is 8.

Answer:

its not D and its not  A or B so the answer would be C...

Step-by-step explanation:

CAN PLEASE PLEASE GET HELP PLEASE I NEED IT PLEASE AND THANK YOU

Answers

Answer:

Step-by-step explanation:

the domain for (2x-1)/(x^2-7) is x not equal to +/- sqrt(7)

What is the equation of the line that is perpendicular to the
given line and has an x-intercept of 6?
y=-3x+8
O y=-3x + 6
O y=-x-8
O y=x-6

Answers

Answer:

y=x-6

Step-by-step explanation:

The x-intercept is found replacing y = 0, as follows:

Function: y = -3x + 8

x-intercept:

0 = -3x + 8  

3x = 8

x = 8/3

Function: y = -3x + 6

x-intercept:

0 = -3x + 6

3x = 6

x = 6/3 = 2

Function: y = -x - 8  

x-intercept:

0 = -x - 8  

x = -8

Function: y = x - 6

x-intercept:

0 = x - 6

x = 6

The last option is the only one in which x-intercept is x = 6.

Would the answer be b an d for this

Answers

Answer by answer key by key question equals equation

Answer:

PROBABLY A and maybe D... here's why

Step-by-step explanation:

i think its A because it goes in a straight line while the others are just wonkity wonk and D also has straight lines not goes all over the place. Idk if this is right but its what would be right for me because i'm learning about proportional graphs and how it could work and if it has to make a straight line for you than im glad this answer could help!

i tried :) hope it helps!

Not sure how to do these problems.

Answers

Answer:

5) 64

6) 39

Step-by-step explanation:

Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .

Answers

Answer:

Step-by-step explanation:

a1 = 5

common difference = 2nd term - 1st term= 14 -5 = 9

n = 31

[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]

Answer:

i took the tests and the answer is d

Here is a list of numbers.
17
18
19
20
21
22
23
24
a) From the numbers in the list, write down a number that is a factor of 20
b) From the numbers in the list, write down a number that is a multiple of
both 3 and 7
c) Write down all the prime numbers from the list​

Answers

Answer:

A=20 B=23 C=17,19,23

Step-by-step explanation:

A=20

B=23

C=17,19,23

Can someone help me please?

Answers

Answer:

8 degrees

Step-by-step explanation:

Hope this helps!

Answer:

8 Degrees

Have a nice day!

can we use a ruler to measure angles yes or no an why

Answers

Answer:

Step-by-step explanation:

No because rulers measure distance not angles. Rulers also do not have all the angles on them as they are not a protractor

The coordinate of point E is 2 and the coordinate of point Fis 5. Find
the length of segment FE.​

Answers

To find the length of FE subtract t E feom F

FE = 5-2 = 3 units long

1/4 ( 8x + 16) + 4x

I apparently need 20 characters for a great answer so ignore this <3

Answers

Answer:

2x(3x + 2)

Step-by-step explanation:

Answer

102

Step-by-step explanation:

X means 3 not times, lots of people mess that up sometimes. Anyways, do 8+3 which equals 11. 8+3=11. So next what you do is you do 11 + 16 which is 27,

equations:

8+3=11

11+16=27

21/1=27

27/4= 6.75

6 x 3= 27

27 + 72 + 3= 102

Then go back to the beginning and do 1/4. If this confuses let me fix it.

now divide it with 4. Look at the equations list. Okay now do 6.72/4x. MAKE SURE TO MULTIPLY DON'T DIVIDE! You multiply 6 and 4 then you add 72 and three! Then you should end up with 102! I hope this worked message me back if it did :)

What is the value of 4³÷ 2³ ?

Answers

Answer:

2^3 or 8

Step-by-step explanation:

[tex]4^3\div 2^3= \\\\(2^2)^3\div 2^3= \\\\2^{2\cdot 3}\div 2^3= \\\\2^6\div 2^3=\\\\2^{6-3}=\\\\2^3=\\\\8[/tex]

Hope this helps!

Answer:

8

Step-by-step explanation:

subtract because it is division

=2x2x2

=8

hope it helps- can u pls mark as brainliest?

Which operations are commutative and associative?

Answers

Answer:

Step-by-step explanation:

if there are two numbers a and b.then

1. a+b=b+a ,commutative under addition.

2. ab=ba,commutative under multiplication.

If there are three numbers a,b,c then

1. a+(b+c)=(a+b)+c,associative under addition.

2.

a×(b×c)=(a×b)×c ,associative under multiplication.

Answer: Addition and multiplication :)

What type of function is represented in the table?
х
5
6.5
10
13
15
19.5
20
26
25
32.5
30
39
V
O exponential
O logarithmic
O linear
O quadratic

Answers

It’s linear because it’s adding the same number each time.

The type of function is Linear.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

x  5    10    15    20    25    30

y  6.5  13  19.5  26   32.5   39

As, we can see from the table that every time the the difference between two consecutive value is same.

Hence, the function is linear.

Learn more about function here:

https://brainly.com/question/23013748

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would you rather have 1 of 8 slices from a 10" pizza or 1 of 10 slices from a 14" pizza?

Answers

1 8 of a pizza you get more
18 pizza answers that it

A POLE DANCER MAKES $16.29 PER HOUR. SHE EARNS A TOTAL OF $800. HOW MANY HOURS DOES SHE WORK?​

Answers

Answer:49.10988336

Step-by-step explanation:

800 divided 16.29

800÷16.29=49.10988336

A piece of duct measures 48 inches. When pieces are fitted together, 1 72 inches is lost connecting each successive length of duct. On the job 7 and 12 pieces of ducting are used. What, in inches is the total length of the finished duct?

Answers

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)

So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:

L = 7*48in - 5*1.72in = 327.4 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.72in = 558.8 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:

L =  558.8 in +  327.4 in - 1.72in = 884.48 in

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