The length of a rectangle is 11cm more than the width. Find the dimensions of the
rectangle if the area is 60cm?

Answers

Answer 1

width x

lenght : x + 11

area = x * (x+11) = 60 cm²

x² + 11x - 60 = 0

Δ = 11² - 4*1*(-60) = 121 + 240 = 361 = 19²

x' = (-11 - 19) / 2 = not possible

x" = (-11 + 19) / 2 = 4

witdh = 4

lenght = 4+11 = 15


Related Questions

Hector's service club is raising money by wrapping presents in the mall. The function f\left(x\right)=3xf(x)=3x describes the amount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 1000 presents. What does f\left(658\right)f(658)?

Answers

Given:

The function f(x) describes the amount of money, in dollars, the club will earn for wrapping x presents.

[tex]f(x)=3x[/tex]

To find:

The f(658).

Solution:

We have,

[tex]f(x)=3x[/tex]

Substitute x=658 to find the value of f(658).

[tex]f(658)=3(658)[/tex]

[tex]f(658)=1974[/tex]

It means, the club will earn $1974 for wrapping 658 presents.

Therefore, [tex]f(658)=1974[/tex].

ILL GIVE THE BRAINLIEST

Use textual evidence and inferences drawn from The Outsiders to describe how this interaction between Ponyboy and Cherry demonstrates that human interactions are challenging. Highlight the specific textual evidence and make annotations to record your inferences.


Use textual evidence


Inference interaction between Ponyboy and Cherry


Demonstrates human interactions are challenging


Write a short answer response:


Make sure to include T. A. G. S with answer.


Textual evidence. Explanation of evidence


Analysis and concluding sentence

Answers

Inference can be used in narration after reasonable logical constructions have been made through the use of evidence.

What is Inference?

This refers to the conclusion reached based on the use of evidence and deductive reasoning.

Hence, inference is useful when finding a conclusion about something based on already made input about a character and their changing roles in a literary text.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

Read more about inferences here:
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Aeen is drinking a beverage that has a pH of 3. 3. Marien is drinking a beverage that has a pH of 2. 7. About how many times the hydrogen ion concentration of Aeen’s drink is the hydrogen ion concentration of Marien’s drink? Round to the nearest whole number.

Answers

The number of times the hydrogen ion concentration of Aeen’s drink is the hydrogen ion concentration of Marien’s drink is 4 approx.

How to decide how many times some number is bigger?

The phrase "times bigger" shows this:

If a number 'x' is 't' times bigger than 'y', then that means:

[tex]x = t \times y[/tex]

It is because 'y' had to multiply itself with 't' to get in equal level of 'x'

How to find the hydrogen ion concentration from the pH value?

A solution with 'x' as its pH contains [tex]10^{-x} mol/L[/tex] of hydrogen ions.

For the considered case, we have:

pH of  beverage drank by Marien = 2.7,

Thus, its hydrogen ion concentration is [tex]10^{-2.7}[/tex] = x (say)

pH of beverage drank by Aeen = 3.3,

Thus, its hydrogen ion concentration is [tex]10^{-3.3}[/tex] = y (say)

Then, let x is t times bigger than y, then that means:

[tex]x = t\times y\\\\t = \dfrac{x}{y} = \dfrac{10^{-2.7}}{10^{-3.3}} = 10^{-2.7 - (-3.3)} = 10^{-0.6} \approx 4[/tex]

It is because of the property [tex]a^b \times a^c = a^{b+c}[/tex]

Thus, hydrogen ion concentration of Marien's drink is approx 4 times the hydrogen ion concentration of Aeen's drink.

Learn more about hydrogen ion concentration here:

https://brainly.com/question/3072484

In 1925, airplane engines were cooled with water. Water freezes at a temperature of 32º Fahrenheit. Average winter low temperatures in Alaska are 50º colder than that. What is Average winter low temperature in Alaska?

Answers

Answer:

From November to March, the temperature in Alaska is between 0°F/-18°C and -30°F/-35°C, which is very cold. May and September are both often the driest and the wettest months in Alaska's summer.

I hope this helps you

:)

What is the measure of x?
Angles are not necessarily drawn to scale.

Answers

Answer:

180-97=83

x=83

Step-by-step explanation:

180 - 97 = 83. Always remember when there is a straight line it is equal to 180.

If a skateboarder performs 20 tricks during practice and 45% of the tricks are heelflips, how many heelflips does the skateboarder perform?

Answers

the skateboarder would have performed 9 heel flips. .45 is 45% turned into a decimal. if you multiply .45 by the number of tricks he performed, you get 9!

If you split an equilateral triangle exactly in half you create two Right 45 triangles or 30-60-90 triangles​

Answers

Answer:

30-60-90

Because the angle of 60 splits and you get two 30 and the 90

Step-by-step explanation:

Which of the following fractions is equivalent to 19.25?
a. 19/25
b. 77/4
c. 19/4
d. 19/8

Answers

Answer:

C. 19/4 Answer CORRECT

8. Rewrite 3 square root of 7 with exponents

Answers

Answer:

7^1/3

Step-by-step explanation:

the answer is 7 to the exponent of 1/3

What is the solution to the equation log(2x + 4) = 2? Round to the nearest thousandth, if necessary.
Enter your answer in the box.

Answers

Answer:

x = 48

Step-by-step explanation:

[tex]\log_{10}(2x+4)=2[/tex]

[tex]\implies 10^{\log_{10}(2x+4)}=10^2[/tex]

[tex]\implies 2x+4=100[/tex]

[tex]\implies 2x=96[/tex]

[tex]\implies x=48[/tex]

Expand it please
(2/7z-3/5x)2

Answers

Answer:   [tex]\bold{\dfrac{4}{49}z^2-\dfrac{12}{35}xz+\dfrac{9}{25}x^2}[/tex]

Step-by-step explanation:

[tex]\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)\\\\\\=\dfrac{2}{7}z\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)-\dfrac{3}{5}x\bigg(\dfrac{2}{7}z-\dfrac{3}{5}x\bigg)\\\\\\=\dfrac{4}{49}z^2-\dfrac{6}{35}xz-\dfrac{6}{35}xz+\dfrac{9}{25}x^2\\\\\\=\dfrac{4}{49}z^2-\dfrac{12}{35}xz+\dfrac{9}{25}x^2[/tex]

what is the surface area of the sphere shown below with a radius of 6

Answers

Answer:

S.A=452.3893421

Step-by-step explanation:

Solve.

–8x − 2y = –20
x + 2y = 13

Answers

Answer:

X=1, y=6

Step-by-step explanation:

Let's solve your system by substitution.

−8x−2y=−20;x+2y=13

Rewrite equations:

x+2y=13;−8x−2y=−20

Step: Solvex+2y=13for x:

x+2y=13

x+2y+−2y=13+−2y(Add -2y to both sides)

x=−2y+13

Step: Substitute−2y+13forxin−8x−2y=−20:

−8x−2y=−20

−8(−2y+13)−2y=−20

14y−104=−20(Simplify both sides of the equation)

14y−104+104=−20+104(Add 104 to both sides)

14y=84

14y

14

=

84

14

(Divide both sides by 14)

y=6

Step: Substitute6foryinx=−2y+13:

x=−2y+13

x=(−2)(6)+13

x=1(Simplify both sides of the equation)

Answer:

x=1 and y=6

Hope this helped!

Edward is playing a game where he draws cards with integers on them from a deck of cards. If the integer is positive he moves forward that many steps, if the integer is negative he moves back that many steps. Edward drew the following cards: 3, -3, -4, 5, 10, -7.

Where does Edward end up in relation to where he started?

A) 4 steps behind where he started.
B) 4 steps in front of where he started.
C) 32 steps behind where he started.
D) 32 steps in front of where he started.

Answers

Answer:

B) 4 steps in front of where he started.

Step-by-step explanation:

Edward drew the following cards: 3, -3, -4, 5, 10, -7

He follows the steps:

3 -3 - 4 + 5 + 10 - 7 = 4

Positive 4 means 4 steps ahead

Correct option is B)

For each diagram below, write and solve an equation.

Answers

A. 2x + 7 = 13
2x = 13-7
2x= 6
X = 6/2
X=3

B. 2n + 24 = 44
2n= 20
N= 10

cos (3 X +6 ) =sin 30

Answers

cos (3X+6) = 1/2
cos^-1(1/2)=60
3x+6=60
3x=60-6
3x=54
x=54/3
X=18

Help, I can’t find total area. I think it’s either c or d

Answers

#2

Step-by-step explanation:

12+12+12+10+10=56

Perimeter=56 inches

Triangle Area=48

Square Area= 144

144+48=192 square inches

Hope this helps! :)

CAN ANYONE HELP KE WITH THESE TWO QUESTIONS AND SOLVE I WILL GIVE BRANIEST

Find the volume of the cylinder.

Find the volume of a cylinder with the same radius and double the height.

Answers

Answer:

Original cylinder:

Exact: [tex] V = 243 \pi~in.^3 [/tex]

Approximate: [tex] V = 763.4~in.^3 [/tex]

Double height cylinder:

Exact: [tex] V = 486 \pi~in.^3 [/tex]

Approximate: [tex] V = 1526.8~in.^3 [/tex]

Step-by-step explanation:

Original cylinder:

[tex] V = \pi r^2 h [/tex]

[tex]V = \pi \times (9~in.)^2 \times 3~in.[/tex]

Exact: [tex] V = 243 \pi~in.^3 [/tex]

Approximate: [tex] V = 763.4~in.^3 [/tex]

Cylinder with the height doubled:

[tex] V = \pi r^2 h [/tex]

[tex]V = \pi \times (9~in.)^2 \times 6~in.[/tex]

Exact: [tex] V = 486 \pi~in.^3 [/tex]

Approximate: [tex] V = 1526.8~in.^3 [/tex]

so for the first question its answer is 763.02 in and for the second one its 1,526.04

Step-by-step explanation:

1.

V = π r^2h

π = 3.14

V = 3.14 x 9^2 x 3

V= 3.14 x 81 x 3

V = 3.14 x 243

V = 763.02 in

2.

So we already know that 9^2 is 81 and that double 3 is 6

V = 3.14 x 81 x 6

V = 3.14 x 486

V = 3.14 x 486

V = 1,526.04 in

KT is tangent to circle L and the central angle mZTLK = 55°. What is mZLKT? K T L​

Answers

The measure of m<LKT from the figure is 35 degrees

Tangential line to a circle

Line tangential to a circle is at 90 degrees to the circle.

Given the following parameter

m<TLK = 55 degrees

According to the theorem above:

m<TLK + m<LKT = 90

m<LKT = 90- m<TLK
m<LKT = 90 -55

m<LKT  = 35 degrees

Hence the measure of m<LKT from the figure is 35 degrees

Learn more on circle theorem here:

https://brainly.com/question/26594685

Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two spins? 0.0625 0.5625 0.375 1

Answers

The probability of the spinner landing only once on yellow in two spins is 0.375. Then the correct option is C.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

The total sample will be

Total sample = 16 {RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

The probability of the spinner landing only once on yellow in two spins will be

Favorable event = 6 {YR, RY, YG, GY, YB, BY}

Then probability will be

[tex]P = \dfrac{6}{16}\\\\P = 0.375[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer: c is correct

Step-by-step explanation:


3. Si multiplicamos el mismo número en ambos lados de la igualdad, la igualdad permanece.

1 Propiedad de multiplicación de la igualdad
2 Propiedad Reflexiva
3 Propiedad de la suma para la igualdad
Transitiva

Escoje^

Answers

Answer:

1

Step-by-step explanation:

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer:

(0, 6)

explanation:

original coordinates of C: (5, -6)

if reflected over x-axis, then use the formula: (x,y) → (x, -y)

new coordinates: (5, 6)

then if translated -5 horizontally, there will be change in x axis

new coordinates: (5-5, 6) → (0, 6)

I am not sure how to do this −(−2−5x)+(−2)=18

Answers

(2+5x)-2=18
2+5x-2=18
5x=18

x=18/5= 3.6
- (-2 - 5x) + [(-2) +2] = 18 + 2

- (-2 - 5x) = 20

- [(-2) +2] - 5x = 20 + 2

- (-5x) = 22

5x/5 = 22/5

x = 4.4

Helen buys 2 pineapples. She pays with a £5 note and gets £3.60 change. Work the cost of one pineapple.

Answers

2pineapples=1.40
To work that out you do 5-3.60= the cost of 2
To work 1 out you divide by 2 so
1.40 divided by 2 = 70p

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The cost of one pineapple is £0.7.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of pineapples = 2

Amount given = £5

Amount returned = £3.60

The cost of the two pineapples.

= 5 - 3.60

= £1.40

The cost of one pineapple.

= 1.40/2

= 140/200

= 14/20

= £0.7

Thus,

The cost of one pineapple is £0.7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

I need the right answer pls :D

Answers

Answer:

x = 49

Step-by-step explanation:

pls help; What is the length of side X in the triangle below?

Answers

Answer: 8

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is sqrt(2) times longer than the leg

A family is planting grass and a garden in the backyard. The rectangular backyard measures 131 ft by 52 ft. The garden measures 13 ft by 9 ft. What is the area of the backyard that will be grass?

Answers

Step-by-step explanation:

Find the area of the whole backyard: 131 x 52 square feet

Find the area of the garden: 13 x 9 square feet

hope this helps :)

Answer:

13 times 9=117

131 times 52=6812

Step-by-step explanation:

maths x=139 times 95847576564 find x

Jalecia solved a linear equation. Her work is in the box.
2(3x - 3) = 18
6x - 6 = 18
6x = 24
Which property did Jalecia not use to solve the equation? *
(1 Point)
Addition Property of Equality
Distributive Property
Ο Ο Ο Ο
Division Property of Equality
Subtraction Property of Equality
12

Answers

Answer:

distributive property

Step-by-step explanation:

A or 2 in this case is used to multiple each factor within the parenthesis

then jus combine like terms and solve for x

simplify this expression

8x-3y+3x-2y

Answers

Hey there!

In order to simplify this expression, we need to combine like terms.

Remember, like terms are terms from the same "family". not terms that you like. :)

So, the like terms here are

8x, 3x

and

-3y and -2y

Combine them:

8x-3x-3y-2y

Hence, the answer is

[tex]\boxed{\boxed{\bold{5x-5y}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if you do, please comment.

#LearningIsAlwaysFun

#KeepLearning

[tex]\rule{200}{2}[/tex]

The radius of a circle is 9 miles. What is the circle's area?
Use 3.14 for ​.

give brainliest

Answers

Answer:

254.34 miles²

Step-by-step explanation:

How do we find the area of a circle?

The area of a circle can be found using πr², where r = radius. We have the radius as 9 miles, and pi is shortened to 3.14.

Solving

[tex]3.14*9^2[/tex] [tex]3.14*81[/tex][tex]254.34[/tex]

Therefore, the area is 254.34 miles².

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

Formula for area of a circle:

πr^2,

where pi is equal to 22/7 or 3.14

and r is the radius that is being squared

Plug in the actual values to this formula to find the area;

a = πr^2

a = 3.14 x 9^2

a = 3.14 x 81

a = 254.34, your answer is 254.34 square miles.

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