The length of a triangle is three times its width the perimeter of the rectangle is 24cmcalculate the area of the triangle

Answers

Answer 1

The area of the triangle is 6 cm².

Let's denote the width of the triangle as "w." According to the given information, the length of the triangle is three times its width, so the length can be expressed as "3w."

The perimeter of a rectangle is given by the formula: Perimeter = 2(length + width). In this case, the perimeter of the rectangle is given as 24 cm.

We can set up the following equation based on the given information:

24 = 2(3w + w)

Simplifying the equation:

24 = 2(4w)

12w = 24

w = 24/12

w = 2 cm

Now that we have the width of the triangle, we can find the length:

Length = 3w = 3 * 2 = 6 cm

The area of a triangle is given by the formula: Area = (base * height) / 2. In this case, the base of the triangle is the width (2 cm) and the height is the length (6 cm).

Area = (2 * 6) / 2

Area = 12 / 2

Area = 6 cm²

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Related Questions

you can answer any 17 questions from a total of 20 questions on an exam. in how many different ways can you select the questions?

Answers

With the help of probability we can say that there are 1140 ways.

What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .

acc to our question-

permutation= 20!/ (20-17)!ncr= 20!/ 17!(20-17)!=1140

Hence,we can say that there are 1140 ways.

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Evaluate 1 1/2 + 3/4 ÷ (-1/3) - 2/3 Enter your answer as a mixed number in simplest form in the box

Answers

The result of the expression as a mixed fraction is -1 5/12

Given the expression

\(1\frac{1}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)

Write as an improper fraction

\(\frac{3}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)

Using the PEDMAS rule;

\(=\frac{3}{2}+(\frac{3}{4}\div (-\frac{1}{3} )) -\frac{2}{3}\\=\frac{3}{2}+(\frac{3}{4}\times -3) -\frac{2}{3}\\=\frac{3}{2}-(\frac{9}{4}) -\frac{2}{3}\\\)

Find the LCM of the result

\(=\frac{18-27-8}{12}\\= \frac{-17}{12}\\= -1\frac{5}{12}\)

Hence the result of the expression as a mixed fraction is -1 5/12

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what is 6 3/4 in a number

Answers

Answer:

as an improper fraction it would be  27/4.

Step-by-step explanation:

pls help if you can asap!!!!

pls help if you can asap!!!!

Answers

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

When water is frozen ________. Question 10 options: it shrinks by 15 percent it expands by 15 percent it shrinks by 9 percent it expands by 9 percent nothing happens to it

Answers

When water is frozen, it expands by 9 percent. This is due to the unique structure of water molecules.

In liquid form, water molecules are constantly moving and bumping into each other, but when water freezes, the molecules arrange themselves into a crystalline structure with hydrogen bonds between them. These hydrogen bonds cause the water molecules to move further apart from each other, resulting in an increase in volume and expansion.

This expansion of water when it freezes can have significant effects on the environment. For example, in colder regions, frozen water in soil can cause the soil to expand and contract, which can damage roads and buildings. In addition, the expansion of water in pipes during freezing temperatures can cause pipes to burst, leading to costly repairs.

It is important to note that not all liquids behave like water when frozen. For instance, some liquids, such as mercury, actually contract when they freeze. Therefore, it is essential to understand the properties of different substances before making assumptions about their behavior when subjected to extreme temperatures.

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if 3x/4 - 13 = -9 then what is the value of x^2

if 3x/4 - 13 = -9 then what is the value of x^2

Answers

Answer:

x² = \(\frac{256}{9}\)

Step-by-step explanation:

\(\frac{3x}{4}\) - 13 = - 9 ( add 13 to both sides )

\(\frac{3x}{4}\) = 4 ( multiply both sides by 4 to clear the fraction )

3x = 16 ( divide both sides by 3 )

x = \(\frac{16}{3}\)

Then

x² = ( \(\frac{16}{3}\) )² = \(\frac{16^2}{3^2}\) = \(\frac{256}{9}\)

PLEASE HELP this is due soon, I will mark brainliest if I can.
The diagonals of rhombus PQRS (not drawn to scale) intersect at point T.
If PR= 24 cm and SQ= 45 cm, find the perimeter of rhombus PQRS. ​

PLEASE HELP this is due soon, I will mark brainliest if I can. The diagonals of rhombus PQRS (not drawn

Answers

Answer:

102 cm

Step-by-step explanation:

Diagonals of a rhombus are perpendicular.Sides are of equal length.

Use Pythagorean to work out the side length.

a² = (d₁/2)² + (d₂/2)²a² = (24/2)² + (45/2)² = 650.25a = √650.25a = 25.5 cm

The perimeter is:

P = 4a P = 4*25.5 = 102 cm

Answer:

102 cm is the perimeter of the rhombus

Calculate the measure of ∠AEC.

A. m∠AEC=105∘
B. m∠AEC=115∘
C. m∠AEC=125∘
D. m∠AEC=135∘

Calculate the measure of AEC.A. mAEC=105B. mAEC=115C. mAEC=125D. mAEC=135

Answers

The answer is D, since angle c is 45, the alt. interior angle would also be 45 then we do 180-45 to give us 135

f(x)=5x-6 and g(x)=x-4 find (f of g)^-1

Answers

Answer:

{5 x = f(x) + 6, x = g(x) + 4}

Step-by-step explanation:

What is the value of x identify the missing justifications.

Answers

Where the above conditions are given in the equation,  x is 45.

How is this so?

Given equations are  -

m∠PQR = x + 7 ,

m∠SQR = x + 3 ,

and m PQR + m SQR = m PQS = 100

using those equations we need to find value of x.

Plug value of (m PQR = x + 7) and (m SQR = x + 3 ) into (m PQR + m SQR = m PQS = 100 )

(x+7) + ( x+3) = m PQS = 100

(x+7) + (x +3) = 100

Remove parenthesis

x+7 + x+3 = 100

Rearrange terms

x + x +3+7 = 100

Combine like terms

2x+10 = 100

2x= 100 - 10

2x=90

x=90/2

x=45

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Full Question:

Although part of your question is missing, you might be referring to this full question:

What is the value of x? Identify the missing justifications. M PQR = x + 7 , m SQR = x + 3 , and m PQR + m SQR = m PQS = 100

for the x-values 1,2,3 and so on, the y values of a function form an arithmetic sequence that decreases in value what type of function is it
A. Decreasing linear
B. Exponential growth
C. Increasing linear
D. Exponential decay

Answers

The type of function that fits the given description is D. Exponential decay.

In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.

Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.

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HEY CAN YALL PLS ANSWER DIS RQ

HEY CAN YALL PLS ANSWER DIS RQ

Answers

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Identify a product/service that is currently in the decline stage. Use the Product Lifecycle Concept to explain why you believe the product/service is at that stage .
Describe the strategic options for companies that are competing in a declining market. Provide specific examples too illustrate what these strategic options entail and how they differ .

Answers

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Violet saw a scarf online for $24. If she has an 18% discount coupon what would be the discount amount?

Answers

The discount would be $4.32, and the total after the discount would be $19.68.

A sports club offers an organized basketball league. A team pays $600 to join their league. In addition to paying their share of the $600, people on the team that are not members of the sports club must pay a $25 fee to play. A team pays a total of $775. How many people on the team are not club members?

Answers

Answer:

5

Step-by-step explanation:

600-775=125

25x5=125

Answer:7 team members

Step-by-step explanation:think of money... 25 cents times 4 is a dollar. So that means count from 600 by 25 until you get to 775

Use cylindrical coordinates to find the average of F(x, y, z) = z over the region F which is bounded on the top by the hemisphere z /6-x2-y2 and on the bottom by the paraboloid x2 + y-z.

Answers

The average of F(x, y, z) = z over the region F which is bounded on the top by the hemisphere z /6-x2-y2 and on the bottom by the paraboloid x2 + y-z is 8π/3.

To use cylindrical coordinates, we need to express the surfaces defining the region F in terms of cylindrical coordinates. The equation of the hemisphere is:

z = 6 - \(r^2\)

where r is the distance from the z-axis, and the equation of the paraboloid is:

z = \(r^2 + rcos\theta\)

To find the limits of integration, we need to find the intersection of these two surfaces. Setting the two equations equal to each other, we get:

\(6 - r^2 = r^2 + rcos\theta\)

Rearranging, we get:

\(2r^2 + rcos\theta - 6 = 0\)

Using the quadratic formula, we get:

\(r = [-cos\theta \± \sqrt{(cos^2\theta + 24)]/4\)

Since r can't be negative, we take the positive square root:

\(r = [-cos\theta + \sqrt{(cos^2\theta + 24)]/4\)

The limits of integration for theta are 0 to 2π, and for r are 0 to [-\(cos\theta + \sqrt{(cos^2\theta + 24)]/4.\)

To find the average value of F(x, y, z) = z over this region, we need to compute the triple integral:

(1/V) * ∭F(x, y, z) dV

where V is the volume of the region F. Using cylindrical coordinates, the volume element is:

dV = r dz dr dθ

The limits of integration for z are given by the equations of the surfaces, so we have:

z = \(r^2 + rcos\theta\) to z = 6 - r^2

Substituting z = \(r^2 + rcos\theta\) in the equation of F, we get:

F(r,\(\theta\),z) = z = \(r^2 + rcos\theta\)

The average value of F over the region is:

(1/V) * ∭F(r, \(\theta\), z) dV

= (1/V) * ∫∫∫ \(r^2 + rcos\theta\) r dz dr dθ

= (1/V) * ∫\(0^{2\pi\) ∫\(0^{[-cos\theta + \sqrt{(cos^2\theta + 24)]/4}\) ∫\(r^2 + rcos\theta to 6 - r^2 (r^2 + rcos\theta )\) r dz dr dθ

where V is the volume of the region, which we can compute by integrating the volume element over the region:

V = ∫∫∫ dV

= ∫\(0^{2\pi\) ∫\(0^{[-cos\theta + \sqrt{(cos^2\theta + 24)]/4\) ∫\(r^2 + rcos\theta to 6 - r^2\) r dz dr dθ

= 8π/3

Evaluating the integral, we get:

(1/V) * ∭F(r,\(\theta\), z) dV

= (3/8π) * ∫\(0^{2\pi\) ∫\(0^{[-cos\theta + \sqrt{(cos^2\theta + 24)]/4\) ∫\(r^2 + rcos\theta\) to 6 - \(r^2\) (\(r^3 + r^2cos\theta)\) dz dr dθ

= (3/8π) * ∫\(0^{2\pi\) ∫\(0^{[-cos\theta + \sqrt{(cos^2\theta + 24)]/4} (r^5/2 + r^4cos\theta/2) - (r^{3/2 + r^2cos\theta/2)(r^2 + rcos\theta)\) dr dθ

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At a sale, books are sold at $90.75 each, which is 75% of the original price.

(i) what is the original price of the book?

(II) Paul buys 10 books at the sale and pays VAT of 16% on the sale price. Calculate the TOTAL amount he paid for 10 books.

Answers

Answer:

Selling Price= $90.75

(i) Original Price= $90.75/0.75= $ 121.00

(ii) 1 Book= $90.75

10 Books= $90.75*10= $907.50

Total Amount Paid= $907.50*1.16 =$1052.70

Express the lcm of 50,18 and 32 in prime factors​

Answers

Answer:

The least common multiple of 50, 18 and 32 is 7200.

Step-by-step explanation:

mark brainleist plz

Answer:

LCM = 7200

Step-by-step explanation:

LCM(18, 32, 50) =

LCM(LCM(18, 32), 50)

Working from the innermost parentheses outward:

LCM(18,32) = (18 × 32) / GCF(18,32)

= (18 × 32) / 2

= 576 / 2

= 288

LCM(288,50) = (288 × 50) / GCF(288,50)

= (288 × 50) / 2

= 14400 / 2

= 7200

Therefore,

LCM(18, 32, 50) = 7200

How many triangles can be drawn by connecting 10 non-collinenr points in a plane?​

Answers

Answer:

10c3 =(10)!/(3!*7!) = (10*9*8)/(3*2*1) = 10*3*4 =120

What is the equation of the given line?

What is the equation of the given line?

Answers

Answer:

y=0x+5

Step-by-step explanation:

Answer:

2,2gggffgigzrfgcf gg cyg

A truck is carrying 513 pounds. There are 27 boxes of chocolate in the truck. About how much does each box weigh?

Answers

Answer:

19

Step-by-step explanation:

To solve this, we must divide: 513/27= 19

Have a nice day: Can I please have Brainliest? No biggie if not

true or false. (determining sample size n for the purpose of estimating mean). for a fixed confidence level (1-alpha) and given population standard deviation, increasing the sampling error (se) will lead to a larger sample size n.

Answers

Answer:

Increasing the sampling error (se) will lead to a larger sample size n.

Step-by-step explanation:

True. When determining the sample size n for the purpose of estimating a population mean, a fixed level of confidence (1-alpha) and population standard deviation are typically specified.

The sampling error (se) represents the maximum distance between the sample mean and the true population mean, which is typically set to a desired level of precision.

As the sampling error decreases (i.e., more precision is desired), the sample size n needs to increase in order to achieve the same level of confidence.

Therefore, increasing the sampling error (se) will lead to a larger sample size n.

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200,000 divided by 2,800

Answers

71.4285 approximately

52x+3 =
3x+2+4x-3-5x-1=
x-5x+4=

Answers

Answer:

x= -3/52

x= 2

x= -1

Step-by-step explanation:

number 1

52x+3=0

52x=-3

x=-3/52

number 2

2x+2+4x-3-5x-1=0

x-2=0

x=2

number 3

x-5x+4=0

4x+4=0

4x=-4

x=-1

solve for the missing side

solve for the missing side

Answers

Answer:

7.28011

Step-by-step explanation:

a² + b² = c²

7² = 49

2² = 4

49 + 4 = 53

√53 = 7.28011

Answer:

Step-by-step explanation:

2^2+b^2=7^2

4+b^2=49

b^2=45

b= 6.708


Five oranges and a banana cost 87 cents. An orange and five banana cost 99 cents . What is the total cost of two oranges and two bananas?

Answers

Answer:

Problem Solving

The total costs of two oranges and two bananas is 62 cents.

Step-by-step explanation:

5 oranges + 1 banana = 87 cents

1 orange + 5 bananas = 99 cents

Let x represent the oranges and x for the bananas. Thus 5x + y = 87 and x + 5y = 99. Solve x using substitution method. If 5x + y = 87, then y = -5x + 87. Substitute this equation to the second equation: x + 5(-5x + 87) = 99. x + (-25x) + 435 = 99. Simplify by combining the similar terms of the equation: -24x = 99 - 435. -24x = -336. Divide both sides of the equation by 24 to get the value of x. Therefore, x = -336/-24, x = 14 cents. Each orange costs 14 cents.

Compute for the price of a banana using the second equation: x + 5y = 99. Replace x with 14. 14 + 5y = 99. 5y = 99 - 14. 5y = 85. Divide both sides of the equation by 5 then y = 17 cents.

Now, find the cost of two oranges and two bananas: 2x + 2y = 2(14 cents) + 2(17 cents) = 28 + 34 cents. Therefore, two oranges and two bananas costs 62 cents.

Write the equation of the trigonometric graph.

Write the equation of the trigonometric graph.

Answers

Answer(s):

\(\displaystyle y = 4sin\:(x + \frac{\pi}{2}) \\ y = -4cos\:(x \pm \pi) \\ y = 4cos\:x\)

Step-by-step explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 4sin\:x,\)in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{2}\:unit\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle \frac{\pi}{2}\:unit,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = 4sin\:(x + \frac{\pi}{2}).\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [-3\pi, -4],\)from there to \(\displaystyle [-\pi, -4],\)they are obviously \(\displaystyle 2\pi\:units\)apart, telling you that the period of the graph is \(\displaystyle 2\pi.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 0,\)in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Write the equation of the trigonometric graph.
Write the equation of the trigonometric graph.

9/4x -1/2y = -3
Find x and y intercepts

Answers

Answer:

x-int: (-12/9, 0)

y-int: (0, 6)

Step-by-step explanation:

x-int ==> on x-axis when y=0

y-int ==> on y-axis when x=0

9/4x -1/2y = -3

x-int: 9/4x -1/2(0) = -3

9/4x = -3

9x/4 = -3

9x*4/4=-3*4

9x=-12

x=-12/9 ==> x-int: (-12/9, 0)

y-int: 9/4(0) -1/2y = -3

-1/2y = -3

1/2y=3

y/2=3

y=6 ==> y-int: (0, 6)

6+ax=-29 a=0 solve for x

Answers

The given equation solved for x is x = -25/a

Solving an Equation

From the question, we are to solve for x in the given equation, provided that a≠0

The given equation is

6 + ax = -29

Solving the equation

6 + ax = -29

Subtract 6 from both sides

6 - 6 + ax = -29 - 6

ax = -25

Divide both sides of the equation by a '

ax/a = -25/a

x = -25/a

Hence, the solution is x = -25/a

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please I have 5 minutes!
solve 1/5^2x+10 = 25^3x

Answers

Answer:

-5(3x+4) = 25

-15x-20=25

-15x=25+20

-15x=45

>then divide both side by -15

Therefore: X=-3

4(x+2)-3(2x-4)=10

4x+8-6x+12=10

-2x+20=10

-2x=-10

> divide both sides by -2

Therefore: x= 5

Answer:

x=o.23854485

Step-by-step explanation:

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