The diagram shows a rectangle. If the perimeter of the rectangle is 66 cm, what is the area of the rectangle?​

The Diagram Shows A Rectangle. If The Perimeter Of The Rectangle Is 66 Cm, What Is The Area Of The Rectangle?

Answers

Answer 1

Answer:

Step-by-step explanation:

Perimeter of the rectangle = P

Base = b

Height = h

Area = A

P = 2b + 2h

P = 66

STEP 1:

2(2x + 1) + 2(x + 5) = 66

Distribute

4x + 2 + 2x + 10 = 66

STEP 2:

Combine like terms and isolate the variable

6x + 12 = 66

6x = 54

x = 9

STEP 3:

Plug in x

A = (2(9) + 1) * (9 + 5)

STEP 4:

Simplify

A = (18 + 1) * (14)

A = (19)(14)

A = 266

Answer 2

[tex]\displaystyle\bf P=2(2x+1+x+5)=66\\\\6x+12=66\\\\6x=54\\\\\boxed{x=9}\\\\2x+1=19\\\\x+5=14 \\\\S=ab=14\cdot19=266 cm^2[/tex]


Related Questions

please help
thank you!
have a nice day!

Answers

Answer:

From left to right:

The first one is 2

The second one is 1/2

The third one is 2

The fourth one is 1

Step-by-step explanation:

HELP ASAP WILL MARK BRAINLIEST!!!!!


A Ferris wheel car moves from point C to point D on the circle shown below:
D
38°
А ferris wheel car moves from point C to D on the circle shown below:

d = 20 ft
What is the arc length the car traveled, to the nearest hundredth?
2.18 feet
4.31 feet
5.84 feet
6.63 feet

Answers

Answer:

AL= 6.63

Step-by-step explanation:

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

C = 2[tex]\pi 10[/tex]

C = 20[tex]\pi[/tex]

[tex]AL = \frac{38}{360} 20\pi[/tex]

AL= 6.63

The length of the arc travelled by the car is 6.63 feet.

What is the  arc length of a circle?

The distance along the part of circumference of any circle or any curve (arc) is called arc length of a circle.

Formula for calculating the arc length

Arc length = θ×[tex]\frac{\pi }{180}[/tex]× r

where,

θ is central angle of arc

r is the radius of circle

What is diameter of the circle?

The diameter of a circle is any straight line segment that passes through the center of the circle and whose end points lie on the circumference of the circle.

Formula for the calculating arc length

diameter = 2× radius

According to the given question

we have

θ = 38 degrees

diameter = 20ft

⇒ radius = [tex]\frac{20}{2}[/tex]

radius = 10

Therefore,

the arc length the car traveled = 38×[tex]\frac{\pi }{180}[/tex]× 10

= 38×[tex]\frac{3.14}{180}[/tex]×10

=[tex]\frac{1193.2}{180}[/tex]

=6.63 feet

Hence, the arc length the car travelled is 6.63feet.

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what is the formula for finding the length of a line on the cartesian plane.​

Answers

Answer:

Step-by-step explanation:

distance =  square root [ [tex](x2-x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex] ]

where you have two points on the line

Point 1 = P1 = (x1,y1)

point 2 = P1 =(x2,y2)

Complete the table to investigate dilations of
exponential functions.
x
2x
3.2x
23.
1
-2
6
+
2 음
3 을
3
4
3
2
64
1
8
1
2
-1
0
a
b
C
1
1
d
e
f
2
4
12
64
а:
11
b =
C
e =
f=
d
DONE

Answers

Answer:

a = 1

b = 3

c = 1

d = 2

e = 6

f = 8

Step-by-step explanation:

found the answer on socratic and brainly

The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.

What is meant by exponential function ?

Exponential function is defined as a mathematical function which is written in the form f(x) = aˣ where a is a constant called base of the function and x is a variable. It is used to find the exponential growth or decay of a given data.

Here,

(a) Value of x = 0

   So, a = 2ˣ = 2⁰

     a = 1

(b) Value of x = 0

   So, b = 3 * 2ˣ

       b = 3 * 1

       b = 3

(c) Value of x = 0

    c = 2³ˣ = 2⁰

    c = 1

(d) Value of x = 1

    d = 2ˣ = 2¹

    d = 2

(e) Value of x = 1

     e = 3 * 2ˣ

     e = 3 * 2¹ = 3 * 2

     e = 6

(f) Value of x = 1

    f = 2³ˣ = 2³

    f = 8

Hence,

The values of the exponential functions, a, b, c, d, e and f are 1, 3, 1, 2, 6, 8 respectively.

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John finds that the sum of two numbers is 24 and their difference is one sixth of the sum. Find the smallest number between the two numbers

Answers

Answer:

The smallest number is 10

Step-by-step explanation:

x+y=24---equation 1

x-y=¹/6×24=>x-y=4---equation 2

Add both equations

2x=28

x=14

put x=14 into equation 1

14+y=24

y=24-14=10

The length of a rectangle exceeds its width by 3 inches. The area of the rectangle is 70
square inches. Find its dimensions. Hint: as in the example, use the equation for area,
A = lw.

Answers

Answer:

70= (x+3)

Step-by-step explanation:

the length of the rectangle  its width by 3 inches, if the width is x,the length will be x+3. so A=LW= 70

To find= 70= (x+3)x

x= 7 or -10

Which of the following sampling methods are biased?

systematic random sample

voluntary response sample

convenience sample

simple random sample

Answers

Answer:

convenience sample is biased because you're only collecting the samples from places that are expedient, but doesn't necessarily represent the population

I will mark you the brainliest

What is the opposite polynomial?

Answers

Answer:

e t

Step-by-step explanation:

The function g(x) is a transformation of the cube root parent function,

Answers

Answer:

I believe that the answer is B as well

Step-by-step explanation:

This might be for Ap3x but not 100% sure

PLEASE HELP! Which point would be included in the solution set of this system of inequalities?

A. (-2,10)

B. (2,10)

C. (0,0)

D. (-2,-10)

Answers

Answer:

D

Step-by-step explanation:

-10 < -6 - 1

-10 < - 7 (ok)

-10 < -4 - 3

-10 < -7 (ok)

The answer is D (-2, -10)

i desperately need help with this one as well omg.. and i think it also needs a quadratic formula

Answers

Hello,

[tex]Formula:\ y=k*a^x+b\\\\ \lim_{x \to -\infty} y=-3 \Longrightarrow -3=k*a^{-\infty}+b=0+b \Longrightarrow b=-3\\\\if \ x=0\ then\ y=-2 \Longrightarrow -2=k*a^0-3 \Longrightarrow k=1\\\\if \ x=1\ then\ y=3 \Longrightarrow 3=a^1-3 \Longrightarrow a=6\\\\\boxed{y=6^x-3}\\[/tex]

Given the function f(x) = -5|x + 1 + 3, for what values of x is f(x) = -12?
O x = -2x = 4
O x = -2, x = 4
O x = 2, X= 4
O x= 2 X= 4

Answers

F(x) = - 5(x+1+3)

or, - 12= - 5x-5-15

or, - 12= - 5x-20

or, - 12+20= - 5x

or, 8= - 5x

or, x= 8÷-5

Also,

F(x)= - 5(x+1+3)

or, f(8÷-5)= - 5(8÷-5+1+3)

= - 5(8-5-15÷-5)

= - 5×-12÷-5

= - 12 #

Write an equation in point-slope form of the line through point J(-1, 10) with slope -7.

Answers

Answer:

y - 10 = -7 (x + 1)

Step-by-step explanation:

pont = (-1,10)     slope = -7

y - 10 = -7 (x + 1)

El ministerio de educación publicó los resultados obtenidos por los colegios en la última prueba icfes saber 11. En el colegio San estaban el promedio de los estudiantes en la prueba de razonamiento cualitativo fue de 75,8 ¿ que significa este resultado?

Answers

Answer:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.

Step-by-step explanation:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.  

x+3/2 + (x-1) = 4/5 ​

Answers

Answer:

x = [tex]\frac{3}{20}[/tex]

Step-by-step explanation:

Given

x + [tex]\frac{3}{2}[/tex] + (x - 1) = [tex]\frac{4}{5}[/tex]

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10x + 15 + 10(x - 1) = 8

10x + 15 + 10x - 10 = 8

20x + 5 = 8 ( subtract 5 from both sides )

20x = 3 ( divide both sides by 20 )

x = [tex]\frac{3}{20}[/tex]

x + 3/2 + x - 1 = 4/5

Collect the same terms

x + x + 3/2 - 1 = 4/5

2x + 3/2 - 2/2 = 4/5

2x + (3 - 2)/2 = 4/5

2x + 1/2 = 4/5

2x + 0.5 = 0.8

Subtract both sides 0.5

2x + 0.5 - 0.5 = 0.8 - 0.5

2x + 0 = 0.3

2x = 3/10

Divide both sides by 2

2x ÷ 2 = ( 3/10 ) ÷ 2

x = 3/10 × 1/2

x = 3/20

_________________________________

Check :

3/20 + 3/2 + ( 3/20 - 1 ) = 4/5

3/20 + 30/20 + ( 3/20 - 20/20 ) = 4/5

(3 + 30)/20 + (3 - 20)/20 = 4/5

33/20 - 17/20 = 4/5

(33 - 17)/20 = 4/5

16/20 = 4/5

4 × 4 / 4 × 5 = 4/5

4/5 = 4/5

Thus we found the correct value of x .

And we're done...

find k so that x+2 is a factor of x^3 - kx^2 + 2x + 7k

Answers

Answer:

k =  4

Step-by-step explanation:

If (x + 2) is a factor then f(- 2) = 0

f(x) = x³ - kx² + 2x + 7k , then

f(- 2) = (- 2)³ - k(- 2)² + 2(- 2) + 7k = 0      

     ⇒   - 8 - k(4) - 4 + 7k = 0

     ⇒  - 8 - 4k - 4 + 7k = 0

     ⇒ 3k - 12 = 0 ( add 12 to both sides )

     ⇒ 3k = 12 (divide both sides by 3 )

     ⇒ k = 4

   

Answer:

k = 4

Step-by-step explanation:

If x + 2 is a factor of x³ - kx² + 2x + 7k then

the value of x = -2

Solve for k

f ( x ) = x³ - kx² + 2x + 7k

plug -2 as x in the expression.

f ( -2) = ( -2)³ - k ( -2)² + 2 ( -2 ) + 7 k = 0

expand the exponents

= -8 -4k -4 + 7k = 0

combine like terms

= -8 -4 + -4k + 7k = 0= -12 + 3k = 0

add 12 to both side

-12 + 12 + 3k = 123k = 12

divide each side by 3

3k / 3 = 12/3k = 4

4 is added to two-thirds of d

Answers

Answer:

ayan po answer nasa picture po

Step-by-step explanation:

where

x

is the number you are trying to compute the (2/3) rds of

Represents 2/3D+4 in this type of situation

Which of the following is not a function?
O A. {(1,2), (2,2), (3,2), (4,2)}
B. {(1,2), (9,-3), (-3,-1), (8,2)}
C. {(1,2), (2,3), (3,4), (4,5)}
D. {(1,2), (-2,3), (1,3), (-2,2)}


Answers

Answer:

D......................

Find slope if a line pass through the original and (3,2)

Answers

heyy im not sure if you meant origin instead of original but the origin would be (0,0)

Answer:

2/3

Step-by-step explanation:

the slope form equation is :  y2 - y1/ x2-x1 (aka change in y divided by change in x)

so it would be  2-0/ 3-0 = 2/3

the slope is 2/3

pls help tysm will give brainliest!! ​

Answers

Answer:

% change in perimeter = 43. 44 %

% change in area = 16 %

Step-by-step explanation:

initial perimeter of the rectangle = 2(2p + p)

= 6p

initial area of the rectangle = 2p × p

= 2p²

25% is equal to 0.4

therefore,

new length = 2p + (2p × 0.4)

= 2p + 0.8p = 2.8 p

new breadth

= p - 0.4p

= 0.6 p

new perimeter = 2 ( 2.8 p + 0.6p)

= 3.4 p

new area = 2.8p × 0.6p

= 1.68 p²

% change in perimeter

[tex] = \frac{6p - 3.4p}{6p} \times 100 \\ = \frac{2.6p}{6p} \times 100 \\ = 43.33\%[/tex]

% change in area

[tex] \frac{2 {p}^{2} - 1.68 {p}^{2} }{2 {p}^{2} } \times 100 \\ = \frac{0.32}{2} \times 100 \\ = 16\%[/tex]

What do you know about the hypotenuse of triangle abc

Answers

Step-by-step explanation:

it is the longest side of the triangle and to find it we must appy a formula c square =a square + b square..thats all i know hehe

PLEASE HELP MEEEEEEEE ILL MARK YOU BRAINLIEST
A set of 3 pens cost 1.68 at that unit price,how much will 10 pens cost?

Answers

Answer:

16.8

Step-by-step explanation:

Answer:

5.60

Step-by-step explanation:

To find what 10 pens cost we have to go down to the cost of 1 pen first.

If 3 pens costs 1.68 then the cost of 1 pen is 1.68 divided by 3.

[tex]\frac{1.68}{3} = 0.56[/tex]  

If one pen costs 0.56 then 10 pens cost 0.56 multiplied by 10.

0.56 × 10 = 5.60

A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.

Answers

Answer:

0.28 seconds

Step-by-step explanation:

To solve, I usually set up an equation.

miles = 213 = 1

sec       60    x

Then use cross multiplication.

213x=60

Divide both sides by 213

x=0.281690141

If you are supposed to round, round.

Hope this helps!

Answer:Hope this helps.

Step-by-step explanation:

Find the area in km2. Round answer to the nearest tenth if necessary

Answers

Area of a triangle formula: 1/2 x base x height

Area = 1/2 x 2 x 3.8

Area = 3.8 square km

Answer:

The area of triangle = 3.8km²

Step-by-step explanation:

Given :-

A triangle having length of base is 2km and length of height is 3.8km.

To find :-

Area of triangle.

Solution :-

We know that ,

Area of triangle = ½ × Base × height

Substitute the values.

Area of triangle = ½ × 2km × 3.8km

Multiply 2km by 3.8km.

Area of rectangle = ½ × 7.6km²

Divide by 2 .

Area of triangle = 3.8km²

You sunk my battleship...The hms petticoat and uss junction are being monitored on a tracking screen where each ship is measured in millimeters from the lower left corner. The linear path of the hms petticoat is given by y=2x+50. If x=3t, express y as a function of t minutes

Answers

Answer:

y = f(t) = 6t + 50

Step-by-step explanation:

Given:

y = 2x + 50

Where,

x = 3t

Substitute x = 3t into the equation

y = 2x + 50

y = 2(3t) + 50

Open parenthesis

y = 6t + 50

y = f(t) = 6t + 50

What is the shape of this distribution? A. Unimodal skewed B. Uniform C. Bimodal symmetric D. Unimodal symmetric E. Bimodal skewed​

Answers

Answer:

D

Step-by-step explanation:

It can't be C and B since it doesn't have two parts, and if it was uniform it would have another part attached to the bottom. Moreover, it can't be A since it isn't positively skewed or negatively skewed, so it must be D.

The shape of this distribution is Unimodal symmetric.

Option D is the correct answer.

What is a histogram?

A histogram is a representation of the distribution of data with intervals.

We have,

In statistics, a distribution is considered unimodal symmetric if it has a single mode or peak and is symmetric around that mode.

This means that the data is evenly distributed on both sides of the mode and is equally likely to occur on either side.

A common example of a unimodal symmetric distribution is the normal distribution, also known as the Gaussian distribution or bell curve.

Thus, the shape of this distribution is Unimodal symmetric.

Learn more about histograms here:

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What are the different forms of a quadratic function and what do the variables represent?

Answers

Answer:

Quadratic equations of second degree.

[tex]{ \bf{a {x}^{2} + bx + c = 0}}[/tex]

Quadratic equations of third degree.

[tex]{ \bf{a {x}^{3} + {bx}^{2} + cx + d = 0}}[/tex]

i need this answered soon!! please help!! 20 points and brainliest!!!

Answers

Answer:

graph 1

Step-by-step explanation:

if it's all the times BETTER

then it shouldn't include 15

Answer:

Graph 3.

Step-by-step explanation:

.

23 x 32 is the prime factorization for which one of these choices?

Answers

Answer:

⟶ 2³ × 3² is the prime factorization for which one of these choices?

Let's check,

1) 6 = 3 × 2 [So, obviously not this choice]

2) 25 = 5 × 5 = 5² [Not this either]

3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]

4) 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3² [Matches]

⟶ The answer is, choice 72.

[tex]\underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]

Please help!! In class right now, I don’t understand anything

Answers

Answer:

x = 2.5

Step-by-step explanation:

Because the triangles are similar, you can divide the sides and equal the results:

24/6 = 10/x

24•x/6 = 10

24•x = 10•6

24•x = 60

x = 60/24

x = 2.5

Answer:

x = 2.5 km

Step-by-step explanation:

In similarity triangles, corresponding sides are in same ratio.

[tex]\frac{DF}{BC}=\frac{EF}{AC}\\\\\frac{10}{24}=\frac{x}{6}\\\\\frac{10}{24}*6=x\\\\x=\frac{10}{4}\\\\x=\frac{5}{2}\\\\x= 2.5[/tex]

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