The area of ​​a rectangle is 168 cm^2. The rectangle has a perimeter of 52 cm. What are the dimensions of the quadrilateral?

Answers

Answer 1

Answer:

  12 cm by 14 cm

Step-by-step explanation:

The area is given by ...

  A = LW

The perimeter is given by ...

  P = 2(L +W)

Substituting the given values, we have ...

  168 = LW

  52 = 2(L +W)

The second equation can be used to find an expression for L:

  26 = L +W . . . . . divide by 2

  L = 26 -W . . . . . subtract W

Using this in the first equation, we have ...

  168 = (26 -W)(W)

  W² -26W +168 = 0

Factors of 168 are ...

  168 = (-1)(-168) = (-2)(-84) = (-3)(-56) = (-4)(-42) = (-6)(-28) = (-7)(-24)

     = (-8)(-21) = (-12)(-14)

Only the last factor pair (-12, -14) has a sum of -26, so the equation factors as ...

  (W -12)(W -14) = 0

Solutions are W=12, and W=14. The corresponding values of L are 14 and 12.

The quadrilateral has dimensions of 12 cm and 14 cm.

The Area Of A Rectangle Is 168 Cm^2. The Rectangle Has A Perimeter Of 52 Cm. What Are The Dimensions

Related Questions


need help with 8 and 9.

Answers

Answer:

  8. parallel

  9. not parallel

Step-by-step explanation:

Segment ST will be parallel to base segment PR if the sides of the triangle are divided proportionally.

8.

We can compare the whole to the short part:

  102/45 ?? (41.8 +33)/33

  2.266... = 74.8/33 = 2.266...

The sides are proportional, so the segments are parallel.

__

9.

We can compare the longer portion to the shorter portion.

  38/19 ?? 52/24

  2 ≠ 2 1/6

The sides are not proportional, so the segments are not parallel.

_____

Additional comment

Here, we compared segment lengths on the same side of the triangle. You can also compare segment lengths on opposite sides of the triangle. For example, in 9, you could look at any of the relations ...

  19/24 vs 38/52

  19/(19+38) vs 24/(24+52)

or the inverse of these:

  24/19 vs 52/39, for example

In a camp ,there is enough flour for 300 persons for 42 days.How long will the flour last if 20 more persons join the camp

Answers

Answer:

ok so basically 21

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

31 /150

Decimal Form: 0.206

If you spin the spinner 55 times, what is the best prediction possible for the number of times it will land on pink? (WORTH 30 POINTS)

Answers

Answer:

45 times

Step-by-step explanation:

There are nine pink sections and 11 sections total. The probability of landing on a pink section is 9/11.

Multiply the probability by 55

[tex]\frac{9}{11}[/tex] × [tex]\frac{55}{1}[/tex]

Cancel the 11 and 55. The 11 becomes a 1 and 55 becomes a 5

[tex]\frac{9}{ 1}[/tex] × [tex]\frac{5}{1}[/tex]

45

Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 StartFraction x cubed Over 2 EndFraction 1 Which polynomial represents the standard form of the original polynomial? StartFraction x cubed Over 2 EndFraction – 2x5 StartFraction x Over 4 EndFraction 1 –2x5 StartFraction x cubed Over 2 EndFraction StartFraction x Over 4 EndFraction 1 –2x5 StartFraction x Over 4 EndFraction StartFraction x cubed Over 2 EndFraction 1 1 – 2x5 StartFraction x cubed Over 2 EndFraction StartFraction x Over 4 EndFraction.

Answers

Answer:

the correct answer is B

Step-by-step explanation:

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

Answer:

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 aka B

Step-by-step explanation:

Sun Valley High School is trying to raise money for their band program. Nike and Adidas are both willing to sponsor their 5k walk/run using different financial plans. Nike promises to double the amount of money they contribute every kilometer, and will start with a $4 donation. Adidas promises to start with a $30 donation and will add $10 for every kilometer.

Which statement best describes which plan Sun Valley High School should choose and why?

A) Adidas starts off being the better plan because they contribute more at the start, but Nike ends up giving twice as much money as Adidas.

B) Nike is the better plan because they end up giving more total money since they are doubling.

C) Adidas ends up with a total of $80, but Nike only contributes $64, so Adidas is the better plan.

D) Adidas is the better plan because adding patterns are always better than doubling patterns.

Answers

Answer:

B because the more kilometers that they walk they will give 4 dollars but also double the money they contribute

Step-by-step explanation:

hope this helps if I'm wrong please notify me and I will help  

╱╱┏╮

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▉━╯┗━╮

▉┈┈┈┈┃

▉╮┈┈┈┃

╱╰━━━╯

PLEASE HELP ASAP
i understand the simplifying part, please thoroughly explain how to do excluded values correctly! tysm

Answers

[tex]\\ \rm\Rrightarrow \dfrac{XY}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{a^2+a^3(x^2y^2)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{axy+a^2xy}{a^2x^2y^2+a^3x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a+a^2}{xy(a^3+a^2)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a(a+1)}{xya^2(a+1)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a}{a^2xy}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{axy}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{xy}{ {a}^{2} + {a}^{3} } \times \dfrac{a + {a}^{2} }{ {x}^{2} {y}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{xy}{ a({a}^{} + {a}^{2} )} \times \dfrac{a + {a}^{2} }{xy( {x}^{} {y}^{} )} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \cancel{xy}}{ a \cancel{({a}^{} + {a}^{2} )}} \times \dfrac{ \cancel {a + {a}^{2}} }{xy \cancel{( {x}^{} {y}^{} )}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{a} \times \dfrac{1}{xy} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ axy} [/tex]

Polygon angle sum theorem, solve for many points.

Answers

Answer:540-452=88

x=88

sum of all is always 540 for pentagons

Step-by-step explanation:

fine the output when the input is n.

Answers

Step-by-step explanation:

the output is -17 while the input is 5

what is the answer to this question A function, f(x) = 4x + 5, has a domain 0 ≤ x ≤ 50. What is its range?

Answers

Answer:

5 ≤ y ≤ 205

Step-by-step explanation:

Input values 0 and 50 for x in the function f(x) - 4x + 5

Solve:

f(0) = 4(0) + 5f(0) = 0 + 5f(0) = 5

f(50) = 4(50) + 5f(50) = 200 + 5f(50) = 205

The range is between these two points: 5 ≤ y ≤ 205

-Chetan K

What is the slope of the line on the graph below?

Answers

Answer:

2

Step-by-step explanation:

PLSS HELP Traci plans to conduct a coin-flipping experiment to see if the probability of landing on "heads" or "tails" is close to the theoretical probability of 1 2 . Which experiment is likely to yield a result FARTHEST from the theoretical probability? A) 25 coin tosses B) 35 coin tosses C) 55 coin tosses D) 75 coin tosses

Answers

Answer:

Its A- 25 coin tosses

Step-by-step explanation:

I took the test

There are 12 cookies and 4 friends what fraction of the cookies will each friend get?

Answers

Answer:

1/4

Since there are 4 friends and 12 cookies, assuming they divide them equally, each friend gets 12/4=3 cookes and so the fraction would be 3/12 which would simplify to 1/4.

You're welcome! Please mark me as Brainliest >w<

[tex]\huge\textbf{Hey there!}\\\\\huge\boxed{\mathbf{Equation: \dfrac{4\ friends}{12\ friends}}}\\\\\\\huge\boxed{\mathbf{= \dfrac{12\ cookies}{4\ friends}}}\\\\\\\huge\boxed{\mathbf{= 4\ friends\div 12\ cookies}}\\\\\\\huge\boxed{\mathbf{= \dfrac{4\div4\leftarrow friends}{12\div4\leftarrow cookies}}}\\\\\\\huge\boxed{= \mathbf{\dfrac{1}{3}\ in\ all}}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{\dfrac{1}{3}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{ your day!}[/tex]

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

Simplify:
9x2 - 4x – 3 = [?]
-
=
x=-2

Answers

Step-by-step explanation:

if x = -2

= 9x² - 4x - 3

= 9 ( -2)² - 4 ( -2 ) - 3 [ x = -2 ]

= 9 × 4 + 8 - 3

= 36 + 8 - 3

= 44 - 3

= 41

[tex]\huge{\boxed{{ x = -2}}}[/tex]

[tex] 9x² - 4x - 3[/tex]

[tex]↠ 9 (-2)² -4 (-2) - 3[/tex]

[tex]↠ 9×4+8-3[/tex]

[tex]↠ 36 + 8 -3[/tex]

[tex]↠ 44-3[/tex]

[tex]↠ 41[/tex]

[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink{9{x}^{2} - 4x – 3 = 41}}}}}}}}[/tex]

A farmer bought a goat for Rs 15000 and cow for Rs 35000. if he sold the goat at 10% profit and cow at 20% loss, find his profit or loss percent in whole transaction

Answers

Answer:

After the loss the cow was sold for 28000 and the goat sold for after the 10% profit was 16500

Goat profit was 1500

Cow loss was - 7000 therefore thw total profit was 8000

The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is

A. 32.4

B. 97.2

C. 121.5

D. 162. 1​

Answers

Answer:

  B.  97.2

Step-by-step explanation:

The sequence of positive terms is ...

  54, 24, 10 2/3, 4 20/27, ...

This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

  S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)

  S = 97.2

The sum of the positive terms in the infinite series is 97.2.

Algebra 2
Please help!

Answers

Answer:

3x

Step-by-step explanation:

Since k(x)=27x^3, we replace it in h( k(x) ), we will get:

h(27x^3)

Given that h(x)={3}√x [my keyboard doesn't support cubic root]

= {3}√(27x^3)

27 is 3^3,

Simplifying, the final answer is:

3x.

Answer:

3x

Step-by-step explanation:

[tex]h(x) = \sqrt[3]{x},\: \: k(x) = 27 {x}^{3} \\ \\ (a) \: h(k(x)) = \sqrt[3]{27 {x}^{3} } \\ \\ = \sqrt[3]{ {(3x)}^{3} } \\ \\ = {(3x)}^{3 \times \frac{1}{3} } \\ \\ = 3x[/tex]

The diagram represents 6x2 – 7x 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entries 6 x squared, negative 4 x. Second column is labeled negative 1 with entries negative 3 x, 2. Both rows are labeled with a question mark. What is the other factor of 6x2 – 7x 2? 3x – 2 3x – 1 3x 1 3x 2.

Answers

Factors of a polynomial can divide it without leaving remainder. The other factor of [tex]6x^2 - 7x + 2[/tex] is given by Option D :  [tex]3x + 2[/tex]

How to factorize a polynomial?

Let the  polynomial A(x) has one factor f(x).

Then, it means, we have:

[tex]\dfrac{A(x)}{f(x)} = g(x)[/tex]

Thus, A(x) can be written as [tex]A(x) = f(x) \times g(x)[/tex]

Thus, the other factor of that polynomial is

[tex]g(x) = \dfrac{A(x)}{f(x)}[/tex]

For given case, the polynomial [tex]A(x)[/tex] is

[tex]A(x) = 6x^2 - 7x + 2[/tex]

Its one factor f(x) is given [tex]f(x) = 2x - 1[/tex]

Thus, its second factor is obtained as:

[tex]g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)[/tex]

Thus, the second factor of the given polynomial is

Option D :  [tex]3x + 2[/tex]

Learn more about factors of polynomials here:

https://brainly.com/question/16078564

80% of the astronomy club members own a telescope. If 20 students own a telescope, how many students are in the astronomy club in all?

Answers

Answer:

25 students

Step-by-step explanation:

Let x represent the amount of students in the astronomy club then:

80%x=20

Convert 80% to a fraction. Any percentage is that number over 100:

[tex]\frac{80}{100}x=20[/tex]

Simplify the fraction:

[tex]\frac{8}{10}x=20[/tex]

[tex]\frac{4}{5}x=20[/tex]

Multiply both sides by 5:

[tex]4x=100[/tex]

Divide both sides by 4:

[tex]x=25[/tex]

There are 25 students in the astronomy club.

determine the range of the inverse of F(x)= square root
x-4

Answers

Answer:

  y ≥ 4

Step-by-step explanation:

The range of the inverse of a function is the same as the domain of the function. F(x) is defined for x ≥ 4, so the range of F^-1(x) is y ≥ 4.

Which two numbers is 28 (square root) between?
A. 5.0 and 5.1
B. 5.2 and 5.3
C. 5.4 and 5.5
D. 5.6 and 5.7

Answers

Answer:

The answer is B.

Step-by-step explanation:

First I multiplied 5.2 x 5.2 and got 27.04. Then I multiplied 5.3 x 5.3 and got 28.09. So the square root of 28 is between 5.2 and 5.3

Hope I helped yo.

A rectangle has a length of 10 inches its width is 6 inches what is the area of the rectangle?

Answers

L=10inB=6in

Area:-

[tex]\\ \tt\longrightarrow LB[/tex]

[tex]\\ \tt\longrightarrow 10(6)[/tex]

[tex]\\ \tt\longrightarrow 60in^2[/tex]

Answer:

Length of rectangle= 10 inch

Breadth of rectangle= 6 inch

Area of rectangle= L X B

= 10X6

= 60 sq. inch

Please mark as Brainliest

12 and 3000 as decimals full equation

Answers

Answer:

12=0.12x100

3000=0.3x10000

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
15,9, 5/27​, ...
Find the 10th term.

Answers

Step-by-step explanation:

the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).

I think your teacher made a mistake, or you made one when typing the question in here.

there is no factor r that creates

15×r = 9

and

9×r = 5/27

it would mean that

15 × r² = 5/27

r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81

r = 1/9

but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9

and 9 × 1/9 = 9/9 = 1 is NOT 5/27

so, this can't be right.

on the other hand

15 × r = 9

r = 9/15 = 3/5

and then

9 × 3/5 = 27/5

so, either the sequence should have been

15, 5/3, 5/27

or (and I suspect this to be true)

15, 9, 27/5

under that assumption we have

s1 = 15

r = 3/5

sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)

s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =

= 3 × 19683/390625 = 59049/390625 =

= 0.15116544 ≈ 0.151

5/6−1/6 Subtract the fractions.

Answers

5/6- 1/6 = 4/6 simplified to 2/3 bc they have a gcf of 2

Answer:

4/6 but its 2/3 simplified.

Step-by-step explanation:

You may subtract the numerator but not the denominator.

A prize of $100, $200, $500, or $1000 will be randomly awarded to a game
show contestant, with the probabilities of winning each prize shown in the
table below. What is the expected value of the prize that will be awarded?
Prize
$100 $200 $500 $1000
Probability
1
1
5
1
5
A. $380
B. $460
C. $400
D. S560

Answers

Answer:

nvm its acctually B. 460

Step-by-step explanation:

just did it

The expected value of the prize that will be awarded is $460.

What is expected value?

The expected value (EV) is an anticipated average value for an investment at some point in the future. Investors use expected value to estimate.

here, we have,

to determine the expected value:

The expected value is calculated using:

E(x) = Σx * P(x)

So, we have:

E(x) = 100 *0.2 + 200 * 0.2 + 500 * 0.4 + 1000 * 0.2

Evaluate

E(x) = 460

Hence, the expected value of the prize that will be awarded is $460

Read more about expected values at:

brainly.com/question/15858152

#SPJ7

9.41 x 4.8 with the work pls .

Answers

Answer: 45.168

Step-by-step explanation:  First find 941 x 48 = 45168 then put the decimal point at the thrid digit as the decimal in 9.41 is in the 2nd digit and 1st in 4.8 so 2 + 1 = 3 so the answer is 45.168

                                                       

                                                                 

And here’s the second pic for the Brainly

Answers

Answer:

  3a³ -20a² +16a -24

Step-by-step explanation:

4.

Unlike the other problems shown here, this one requires you combine like terms.

  = a(3a² -2a +4) -6(3a² -2a +4)

  = 3a³ -2a² +4a -18a² +12a -24

  = 3a³ -20a² +16a -24

Hwlsibdsja aka sus ejsnahabah HELP

Answers

Answer:

  y = cos(x) -1

Step-by-step explanation:

The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.

  y = cos(x) -1

Help me pls look at the image 20 points

Answers

288 ft*2
hope this helps!!

an umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,
then what would be the area between two consecutive ribs of the umbrella

Answers

Answer:

Area = 121pi/12

~= 31.66 sq units

Step-by-step explanation:

They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.

Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.

Area of a circle is

A = pi × r^2

Area of one slice is 1/12 of the whole.

A(1 slice)

= 1/12× pi × r^2

See image.

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Write a poem or short song that could be put to music to reflect some important aspect of your town, school, or of Arkansas. Ahmed sells different types of cake in his shop.The cost of each cake depends on its type and its size.Every small cake costs $x and every large cake costs $(2x + 1).The number of small cherry cakes that can be bought for $4 is the same as the number of largecherry cakes that can be bought for $13.Find the cost of a small cherry cake. Select all equations that are equivalent to x2 + 6x= 16.A) x2 + 6x +9=0B C2 + 6x +9 = 16C. x2 + 6x +9= 25D. (a + 3)2 = 0 E, (x + 3)2 = 16F. (x + 3)2 25 the interior angles of a pentagon are 100,,(3+30),(2-10),and 80. Find What is the factored form of the expression x2 81 The foreign corrupt practices act of 1977 made what practice illegal?. Use a spelling word to complete the sentence.Jesus taught people to serve others when he told the _____of the Good Samaritan. A freight train initially moving at +10m/s decelerates at a rate of -0.1m/s^2. How far does it move in 30 seconds? what is the rule for this table? Why do men prefer women with a greater waist to hip ratio What is the iupac name of the oxyacid formed from chlorite?. What are the pros and cons of national self-determination? In the scientific world, cold hard facts are often termed? what are the types of ethic groups in the caribbean What were two reasons that the New England states were ideal for the development of early factories?A. technology and nearby farms B. interchangeable parts and patentsC. rivers and portsD. good soil and tariffs Ben plants 6 rows of roses, with the same number of roses in each row. pls help i have till 5:00 pm today!MYTHAn organisms kingdom only describes physical characteristics.FACTEvidence #1Evidence #2 Compare the processes of reproduction and growth. After that shot, I never went hunting again. I didn't feeltriumphant; I felt like a selfish kid burning ants with amagnifying glass, Here I was, out in Mother Nature'sbackyard, dragging around my man-made tools ofdestruction. And for what? Food? Sport? I certainly had mychoice of either of those back home. I don't think manyhunters consider that before they set out.Which statement best analyzes how this passage incorporates societalcommentary into the personal narrative?O A. The speaker inspires hunters to reflect on their motives bywarning them of the potential consequences of their actions.O B. The speaker comments on the responsibility of hunters by sharinghis own feelings about hunting.O C. The speaker supports the rights of individuals to hunt byillustrating how different people have different interestsO D. The speaker condemns hunters for their sport by explaining how ithurts the ecosystem, What exactly is reader's theater?Group of answer choiceswhen you go to the movies and read a bookwhen you read a novel as though it is a play with actors reading the dialoguewhen you read a poemwhen you read a novel out loud