If the length of rectangle is thrice of its breadth and it's perimeter is 32 cm then finds its area​.​

Answers

Answer 1

Answer:

48 cm²

Explanation:

Let the breadth be b, then the length is 3b

P = 2(Length + Breadth)

32 = 2(3b + b)

32 = 2(4b)

8b = 32

b = 4

Breadth is 4 cm

Length: 3b = 3(4) = 12 cm

Area of rectangle:

Length × Breadth

12 × 4

48 cm²

Answer 2
Area of rectangle is 48 cm².Explanation :

Given :-

Length of rectangle is thrice of its breadth.Its perimeter is 32 cm.

To Find :-

Area of rectangle?

Solution :-

Let breadth of rectangle be x cm As it is stated in question that length of rectangle is thrice its breadth so length of rectangle will be 3x cm

Using formula;

Perimeter of rectangle = 2(L + B)

Where;

L denotes length of rectangleB denotes a breadth of rectangle

We have;

Perimeter of rectangle = 32 cmLength of rectangle (L) = 3xBreadth of rectangle (B) = x

By putting all values in formula we get;

→ 2(3x + x) = 32

→ 2(4x) = 32

→ 2 × 4x = 32

→ 8x = 32

→ x = 32/8

After dividing 32 with 8, we get;

x = 4

Hence;

Length (L) = 3x = 3 × 4 = 12 cmBreadth (B) = x = 4 cm

Now, using formula;

Area of rectangle = L × B

Where;

L denotes length of rectangleB denotes a breadth of rectangle

We have;

Length of rectangle (L) = 12 cmBreadth of rectangle (B) = 4 cmArea of rectangle = ?

By putting all values in formula we get;

→ Area of rectangle = 12 × 4

By multiplying 12 with 4, we get;

→ Area of rectangle = 48 cm²

Hence, area of rectangle is 48 cm².

Related Questions

crash test results the insurance institute for highway safety crashed the 2010 ford fusion four times at 5 miles per hour. the costs of repair for each of the four crashes were $2529,$1889,$2610,$1073 $2529,$1889,$2610,$1073
compute the mean, median, and mode cost of repair.

Answers

Answer:

We know that

The costs of repair for each of the four crashes were

$2529, $1889, $2610, $1073

Here we have to compute the mean, median, and mode cost of repair.

Mean = total cost

the no of crashes

Mean = $2529 + $1889 +$2610 +$1073

4

Mean = $2025.25

Therefore the mean = 2025.25

Then we have to find median.

Now first we have to arrange the data in ascending order (smallest to highest).

$1073,$1889,$2529,$2610

Add the two middle numbers and then divide by two, to get the average:

$1889+$2529 = $4418

Median = $4418/2 = $2209

Therefore the median = $2209

Here there is no mode cost.

Evaluate the expression.
{[(30 – 60) ÷ (-30)]² – 15} ÷ (-7)
What is the value of the expression?

Answers

Answer:

22/7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

(30–60)= –30

[‐30÷(–30)]²=1

{1–15}=–14

–14÷(–7)=2

MATH: Composition of two functions...help needed with this problem

Answers

The equation of Q(n) is [tex]Q(n) = \frac89 * (88n + 23)[/tex]

How to determine the formula of Q(n)?

The functions are given as:

[tex]R(d) = \frac89 d[/tex]

[tex]P(n) = 88n + 23[/tex]

From the question, we understand that:

d = P(n)

This means that:

d = 88n + 23

Substitute d = 88n + 23 in R(d)

[tex]R(n) = \frac89 * (88n + 23)[/tex]

Also, from the question

Q(n) = R(n)

So, we have:

[tex]Q(n) = \frac89 * (88n + 23)[/tex]

Hence, the equation of Q(n) is [tex]Q(n) = \frac89 * (88n + 23)[/tex]

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Sarah conducted an experiment regarding the effectiveness of two mathematics tutoring programs: Math Master and Excel. She randomly selected 20 students from her high school and assigned 10 students to the Math Master program. Sarah then assigned the remaining 10 students to the Excel program.

Answers

Finding the percent increase, it is found that the correct option is given by:

C. The Master Program and the Excel Program are both effective, but Math is more effective because of the greater percent increase.

What is the percent increase?

The percent increase is given by the difference between the final and the initial score, divided by the initial score and multiplied by 100%.

Researching the problem on the internet, we have that:

In the Master program, the average score increased from 75 to 87.In the Excel program, the average score increased from 73 to 81.

The percent increases are given as follows:

M = 12/75 x 100% = 16%,E = 8/73 x 100% = 10.96%.

Hence the correct option is given by:

C. The Master Program and the Excel Program are both effective, but Math is more effective because of the greater percent increase.

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4
Which are correct representations of the inequality 6x ≥ 3 + 4(2x - 1)? Select three options.
01 ≥ 2x
O
O
6x ≥ 3 + 8x - 4
-1.5
-1.5
0- -1.5
-1
-1
-1
-0.5
-0.5
-0.5
0
0
0
0.5
0.5
0.5
1
1
1.5
1.5
1.5

Answers

Answer:

6x > 3+4(2x -1)

6x > 3+ 8x - 4

6x > (-1) + 8x

6x - 6x > (-1) + 8x - 6x

subtracting 6x from both sides

0 > 2x - 1

adding +1 on both sides

1 > 2x

1/2 > x

x < 1/2

The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ 6x ≥ 3 + 4(2x - 1)

Now, We can simplify as;

⇒ 6x ≥ 3 + 4(2x - 1)

⇒ 6x ≥ 3 + 8x - 4

⇒ 6x ≥ 8x - 1

⇒ 1 ≥ 8x - 6x

⇒ 1 ≥ 2x

⇒ x ≤ 1/2

Thus, The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

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Samantha invests $11,000 at 6% simple interest for 25 years.
Round your answers to the nearest cent.

Answers

Answer:

$27,500.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 11000(1 + (0.06 × 25)) = 27500

A = $27,500.00

The total amount accrued, principal plus interest, from simple interest on a principal of $11,000.00 at a rate of 6% per year for 25 years is $27,500.00.

my sis needs help asap

Answers

Answer:

3/4 - 5/12

Step-by-step explanation:

first you make the demoninators the same so 3*4=12

and if you *3 you do it to the numerator

so its 9/12-5/12

the unsimplified fraction is 4/12

if wanted simplified version its 1/3

[tex]\frac{3}{4}-\frac{5}{12}\\[/tex]

First make the denominators equal so you can easily add the numerators

Common Factor of 4 and 12: 12

So multiply [tex]\frac{3}{4}[/tex] with 3 for both numerator and denominator (4*3=12, to make denominator equal)

[tex]\frac{9}{12} - \frac{5}{12} =\frac{4}{12}[/tex]

Simplify further

[tex]\frac{4}{12} =\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] is the answer

Hope it helps!

How can I solve this? Thank you

Answers

The labeled angles are both equal to c by the corresponding angles theorem.

Thus, a+b=c by the exterior angle theorem.

Pam ask you to help her with the catering for the funeral. you decide to use juice concentrate to serve as a refreshing drink. to create this delicious you must dilute the concentrate in the ratio 1:4 you must make 25litres of juice. what volume of concentrate is needed to make the juice​

Answers

Answer:

6.25 litres

Step-by-step explanation:

ratio 1:4

25/4 = 6.25

4 * 6.25 = 25

1 * 6.25 = 6.25

= 6.25 litres of concentrate

Answer:

6.25 litres of juice concentrate

What are the roots of x In-10x2 + 12x-9=0? OA. 61√6 -1 10 31√6 10 OB. O C. 31√24 10131/24 OD. ti√24 OE. 1, 2:√6 51 10 What are the roots of x In - 10x2 + 12x - 9 = 0 ? OA . 61√6 -1 10 31√6 10 OB . O C. 31√24 10131/24 OD . ti√24 OE . 1 , 2 : √6 51 10​

Answers

Answer:

9=0

Step-by-step explanation:

9=0

The roots of x in the equation -10x² + 12x - 9 = 0 are:

x = (3/5) + (3/5)√(6)i

x = (3/5) - (3/5)√(6)i

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

To find the roots of x in the equation -10x² + 12x - 9 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation in standard form (ax² + bx + c).

In this case, a = -10, b = 12, and c = -9. Substituting these values into the quadratic formula, we get:

x = (-12 ± √(12² - 4(-10)(-9))) / 2(-10)

x = (-12 ± √(144 - 360)) / (-20)

x = (-12 ± √(-216)) / (-20)

Substituting this into the expression for x, we get:

x = (-12 ± 6√(6)i) / (-20)

Simplifying the expression further, we get:

x = (3/5) ± (3/5)√(6)i

Therefore, the roots of x in the equation -10x² + 12x - 9 = 0 are:

x = (3/5) + (3/5)√(6)i

x = (3/5) - (3/5)√(6)i

These roots are complex conjugates of each other.

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Select the correct interpretation of the following expression.

2(3x+1)(9x-5)

A.
double the sum of 3x + 1 and 9x - 5
B.
the sum of 2, 3x, 1, 9x, and -5
C.
the product of 2, 3x + 1, and 9x - 5
D.
the product of 2, 3x, 1, 9x, and -5

Answers

Answer:

C

Step-by-step explanation:

you are multiplying so it is the product of the three

2 ( ...  )    ( ... )

and you must solve the brackets first so C and not D

What is the volume of a cone with a height of 22 and a radius of 6

Answers

Answer:

3041.06

Step-by-step explanation:

The formula of a cone is [tex]\pi r^{2} \frac{h}{3}[/tex] , so plugging both the height and radius will result in the answer!

log(2t+4)=log(14-3t)

Answers

Answer:

t = 2

Step-by-step explanation:

[tex]2t + 4 = 14 - 3t[/tex]

[tex]5t = 10[/tex]

[tex]t = 2[/tex]

Checking:

[tex] log(2(2) + 4) = log(8) [/tex]

[tex] log(14 - 3(2)) = log(8) [/tex]

Gold has a density of 19.32 grams per cubic centimeter. How much does one-half of a cubic centimeter weigh? Gold has a density of 19.32 grams per cubic centimeter . How much does one - half of a cubic centimeter weigh ?​

Answers

Substituting into the formula [tex]d=\frac{m}{v}[/tex],

[tex]19.32=\frac{m}{0.5}\\\\m=\boxed{9.66 \text{ grams}}[/tex]

The right option is c = to 9.49 grams

If I=$312.50 R=25% T=0.25 what is P

Answers

Step-by-step explanation:

please mark me as brainlest

if 3t -7 = 5t, then 6t =

Answers

Answer:

21

Step-by-step explanation:

[tex]3t-7=5t[/tex]

subtract 3t from both sides

[tex]-7 = 2t[/tex]

multiply both sides by 3

[tex]-21 = 6t[/tex]

so 6t = -21

Its 21 because you put the variables on one side and then divide to find the value of t

Can y’all help me with ! I need correct anwsers ! Please

Answers

Answer:

Im pretty sure its B,  1.75. Not exactly sure though

Step-by-step explanation:

A 450-pound circus tiger eats 15 pounds of meat per day. How many pounds of meat would you expect a 360-pound tiger to eat per day? A 450 - pound circus tiger eats 15 pounds of meat per day . How many pounds of meat would you expect a 360 - pound tiger to eat per day ?​

Answers

Hi :)

This kind of question is purely based upon proportionality. We are going to be using the cross product method to assess it.
First-hand, it can always help to write down the information that you do have, and the one that is missing.
Here;

450-pound tiger — > 15 pounds of meat
360-pound tiger — > ?? pounds of meat

The calculation you’ll want to use is the following:
360 x 15 / 450
The answer is 12 pounds.

Therefore, you would expect a 360-pound tiger to eat 12 pounds of meat per day.
I hope this helps! Have a nice day :)

Given mCT=26 and m/CAT =124° find the length of CA, the radius in Circle A. Use
π = 3.14 in your calculation and round to the nearest tenth.

Answers

Answer:

[tex]\text{length of \textit{CA}} \ = \ 12.0 \ \ \ (\text{nearest tenth})[/tex]

Step-by-step explanation:

Radian measure is the ratio of the length of a circular arc to its radius.

A radian is the measurement of the central angle which subtends an arc whose length is equal to the length of the radius of the circle.

In the case of the unit circle, as shown in the figure below, one radian is the angle of the sector with a radius of 1 and circular arclength of 1.

Following this definition, the magnitude, in radians, of one complete revolution of a unit circle is the circumference of the unit circle divided by its radius, [tex]\displaystyle\frac{2\pi}{1}[/tex] or [tex]2\pi[/tex]. Thus, [tex]2\pi[/tex] radians is equal to [tex]360^{\circ}[/tex] degrees. Alternatively, one radian is equal to [tex]\displaystyle\frac{180^{\circ}}{\pi} \ \approx \ 57.296^{\circ} \ \ \ (3 \ d.p.)[/tex].

Since radian measure is defined as the ratio of the arc length of a sector to its radius, hence

                                                        [tex]\displaystyle\frac{s}{r} \ = \ \theta \\\\ s \ = \ r\theta[/tex]

where [tex]s[/tex] is the arclength, [tex]r[/tex] is the radius, and [tex]\theta[/tex] is the central angle, in radians.

Therefore, the length of CA is

                                           [tex]\displaystyle\frac{s}{\theta} \ = \ r \\ \\ r \ = \ \displaystyle\frac{26}{124^{\circ} \ \times \ \displaystyle\frac{\pi}{180^{\circ}} \ \text{rad}} \\ \\ r = \displaystyle\frac{26 \ \times \ 45}{31 \ \times \ 3.14} \\ \\ r\ = \ 12.0 \ \ \ \ \left(\text{nearest tenth}\right)[/tex]

Prove Triangle ABC is congruent to Triangle CDA.

Answers

The triangle ABC and triangle CDA are congruent by AAS [Angle - Angle-Side] property.

What is the similarity?

If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.

In the given triangles we can see that:-

Angle BAC is congruent to Angle DCA Angle B and Angle D are congruent.The two triangles are sharing common side which is AC.

Therefore we can see that the triangle ABC and triangle CDA are congruent by AAS [Angle - Angle-Side] property.

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Help please asap I need help

Answers

Answer: 72

Step-by-step explanation:

[tex]\sum^{3}_{t=0} (6t^{2}-3)=(6(0)^{2}-3)+(6(1)^{2}-3)+(6(2)^{2}-3)+(6(3)^{2}-3)=\boxed{72}[/tex]

Solve for x in the equation 4/x-3=x

Answers

Answer:

jenejebdjdndnr

r

r

r

r

r

r

Answer:

Step-by-step explanation:

Comment

Multiply through by x - 3

Then factor the result

4*(x - 3) / (x - 3) = x*(x - 3)

4 = x * (x - 3 )                          Remove the brackets

4 = x^2 - 3x                            Subtract 4 from both sides

4-4 = x^2 - 3x - 4                    Simplify

0 = x^2 - 3x- 4

This factors

0=(x - 4)(x + 1)

Answer

x - 4 = 0

x = 4

x+ 1 = 0

x = - 1

which has more KE ? a 2 g bee flying at 1 m/s OR a 1 g wasp flying at 2 m/s [tex] \\ [/tex] ty! ~​

Answers

Answer: Wasp has greater kinetic energy of 0.002 Joules

Given for bee:

mass: 2g = 2 × 10⁻³ kgvelocity: 1 m/s

Given for wasp:

mass: 1 g = 1 × 10⁻³ kgvelocity: 2 m/s

Formula:

Kinetic Energy (J) = ½ × mass (kg) × velocity² (m/s)

Kinetic energy of bee:

½ × 2 × 10⁻³ × 1² = 1 × 10⁻³ Joules ≈ 0.001 Joules

Kinetic energy of wasp:

½ × 1 × 10⁻³ × 2² = 2 × 10⁻³ Joules ≈ 0.002 Joules

From this, it is determined wasp has greater kinetic energy.

Please help! Please help with all sections

Answers

The number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.

What is an independent variable?

An independent variable simply means the variable that's changed to test the effect on the dependent variable.

Here, the number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.

This is because the number of hours is being used to predict cumulative grade point average.

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what is 190 divided by 2/3

Answers

Answer 285
Reason
When you divide by a fraction, you flip the fraction and multiply
So 190 divided by 2/3 is now 190 x 3/2
Factor 190 x 3/2
Multiply 190 x 3 (numerator) = 570
Divide by 2 (denominator)
570/2 = 285

After divide, the solution of the expression is, 285

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

190 divided by 2/3.

Now, We can simplify as;

⇒ 190 ÷ 2/3

⇒ 190 × 3/2

⇒ 95 × 3

⇒ 285

Thus, The solution of the expression is, 285

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What is the value of y?

Answers

Answer:

Step-by-step explanation:

I can give you the meaning of Y

Y is the vertical value in a pair of coordinates. In other words how far up or down the point is. The Y coordinate is always written second in an ordered pair of coordinates (x,y) when used. A example from the internet is:

what is (4-¹)(2³-4-2) 4 - ¹ ) ( 2³ - 4-2 )

Answers

Answer:

[tex](4-¹)(2³-4-2) 4 - ¹ ) ( 2³ - 4-2 )[/tex]

[tex]4 {}^{ - 2} (2 {}^{3 } - 4 - 2)(2 {}^{3} - 4 - 2)[/tex]

[tex]4 {}^{ - 2} (2 {}^{3} - 4 - 2) {}^{2} [/tex]

[tex] \frac{1}{16} (8 - 4 - 2) {}^{2} [/tex]

[tex] \frac{1}{16} (4 - 2) {}^{2} [/tex]

[tex] \frac{1}{16} \times 4[/tex]

[tex] \frac{1}{4} [/tex]

Tickets for a county fair are $8 for an adult and $5 for a child. If you have a 15% discount card, how
much will 2 adult tickets and 2 child tickets cost?

Answers

Answer:

$21.25

Step-by-step explanation:

The cost of the 2 adult tickets before the discount is $8 * 2 = $16

The cost of the 2 child tickets before the discount is $5 * 2 = $10

The total cost before the discount is $16 + $10 = $26

The total cost after the discount is

$26 * (1 - 0.15) =

$26 * 0.85 =

$21.25

Simplify the expression -3z(1.8z-2.2).
-5.4z² + 6.6z
-5.4z²-6.6z
-1.2z²+5.2z
-1.2z²-5.2z
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

[tex] - 5.4z {}^{2} + 6.6z[/tex]

Step-by-step explanation:

Given:

[tex]-3z(1.8z-2.2)[/tex]

Solution:

Applying Distributive property,we obtain

[tex](−3z)(1.8z)+(−3z)(−2.2)[/tex]

Simplifying using PEMDAS:

[tex] - 5.4z {}^{2} + 6.6z[/tex]

Done!

Answer:A

Step-by-step explanation:

Create a table of values for the function graphed below using the plotted points. Remember, table of values are written with the x-values in order from least to greatest (read the graph from left to right). Then, state the domain and range of the function.

Answers

The points are follows as (0, -3), (-1, -2), (-2, -1) and (-3, 0).

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The Graph shows the line function;

When the value of x is 0, y will be -3.

When the value of x is -1, y will be -2.

When the value of x is -2, y will be -1.

When the value of x is -3, y will be 0.

The points are (0, -3), (-1, -2), (-2, -1) and (-3, 0).

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Other Questions
Read the following excerpt from Levitt and Dubners Freakonomics.There is a tale, The Ring of Gyges, that Feldman sometimes tells his economist friends. It comes from Platos Republic. A student named Glaucon offered the story in response to a lesson by Socrateswho, like Adam Smith, argued that people are generally good even without enforcement. Glaucon, like Feldmans economist friends, disagreed. He told of a shepherd named Gyges who stumbled upon a secret cavern with a corpse inside that wore a ring. When Gyges put on the ring, he found that it made him invisible. With no one able to monitor his behavior, Gyges proceeded to do woeful thingsseduce the queen, murder the king, and so on. Glaucons story posed a moral question: could any man resist the temptation of evil if he knew his acts could not be witnessed? Glaucon seemed to think the answer was no. But Paul Feldman sides with Socrates and Adam Smithfor he knows the answer, at least 87 percent of the time, is yes.Feldman reaches the conclusion that most people are honest without receiving an incentive bymaking a claim about his individual experiences and looking for evidence. making a broad generalization about morality and looking for evidence.studying his individual experiences and arriving at a broad generalization.studying a counterclaim about morality and arriving at a broad generalization. Solve for x in the equation 4/x-3=x pls this this solutions 4Which are correct representations of the inequality 6x 3 + 4(2x - 1)? Select three options.01 2xOO6x 3 + 8x - 4-1.5-1.50- -1.5-1-1-1-0.5-0.5-0.50000.50.50.5111.51.51.5 simplify 2e + 3f + 7e + 5f death, and rebirth. The goal of life is to achieve The intrinsic rate of the atriobventricular av bundle is beats/min Technology can be_, or enter one's life without invitation. Which of these organs can produce female reproductive hormones?A. OvaryB. Fallopian Tube (oviduct)C. VaginaD. Uterus Pam ask you to help her with the catering for the funeral. you decide to use juice concentrate to serve as a refreshing drink. to create this delicious you must dilute the concentrate in the ratio 1:4 you must make 25litres of juice. what volume of concentrate is needed to make the juice Which is the best sentence? you might be interested in a new study mentioned in the newspaper last week. a new study that was mentioned in the newspaper last week might be of interest to you. there was a new study that was mentioned in the newspaper last week, which might interest you. a new study, which might be of interest to you, was mentioned in the newspaper last week. Mary's desk was 67.94 inches long, Joe's desk was 78.26 inches long and Troy's desk was x inches long. If the length of all the desks combined was 214.62 inches, how long was Troy's desk? A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lions position in relation to sea level? Why should you be careful when consulting a wiki site for information? SAfe is based on four primary bodies of knowledge# Please help me on this question! Help please asap I need help Which of the following is an insoluble compound that is likely to be produced by the reaction below?CaSO4 + PbI _______ Cancun, mexico, is home to the largest museum of what?. Which statement is FALSE?A. Some research suggests that physical activity in childhood might increase the brain's resilience later in life.B. Physical activity and play during early childhood have a vital role in sensory and physiological stimulation, resulting in moresynapses being formed in the brain.C. The brain's left side controls the body's right side, and the brain's right side controls the body's left side.D. Cross-lateral activities are the ONLY ones that develop permanent synapses.