Draw a triangle with side lengths that are 3 inches, 5 inches, and 6 inches long. Is this the only triangle that you can draw using these side lengths? Explain

Answers

Answer 1

The combination of these side lengths uniquely determines the shape of the triangle.

Hi! To draw a triangle with side lengths 3 inches, 5 inches, and 6 inches, make sure that the sum of any two sides is greater than the third side. In this case, 3 + 5 > 6, 3 + 6 > 5, and 5 + 6 > 3, so a triangle can be formed.

Yes, this is the only triangle you can draw using these side lengths.

The reason is that the side lengths are fixed, and according to the triangle inequality theorem, the combination of these side lengths uniquely determines the shape of the triangle.

The combination of these side lengths uniquely determines the shape of the triangle.

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Related Questions

memona has a 6kg sack of rice and some empty bags. she fills each bag with 475 grams of rice from the sack. how many bags can memona completely fill with rice?

Answers

Answer:

1500

Step-by-step explanation:

1000×6÷4

250×6

1500

A student had taken six tests and received scores 88, 73, 81, 83, 79, 94. The seventh test was coming up and the student wanted to know what score was needed on the seventh test to have a mean score of 83?

Answers

Answer: 83

Step-by-step explanation:

Since the student want to have a mean of 83 in the 7 tests, the total score of the tests will be:

= 83 × 7

= 581

Then, we add the value of the 6 tests and this will be:

= 88 + 73 + 81 + 83 + 79 + 94

= 498

We will now subtract 498 from 581 and this will be:

= 581 - 498

= 83

He needs to score 83 in the 7th test

Find the mean 78 77 76 75 74

Answers

Answer:

76

Step-by-step explanation:

(78+77+76+75+74)/5=x

x=76.

So the mean is 76.

Hope this helps plz hit the crown :D

-8 + (-2)
Plz answer

Answers

Answer:

-10

Step-by-step explanation:

Answer:

-8+(-2)

-8-2

-10

wich of the following numbers are greater than -185/100 -1.08190/100-35/20

Answers

-185/100 = -1.85

a) -1.08 this number id greater than -1.85

b) 190/100 = 1.9 this number is greater than -1.85

c) -35/20 = -1.75 this number is greater than -1.85

All these numbers are greater than -185/100

Follow the Order of Operations to simplify each expression below. 2(9-6)2/18

Answers

Answer:

3

Step-by-step explanation:

one angle of an isosceles triangle measure 140 degrees. which other angles could be in that isosceles triangle?

Answers

Answer:

20!

Step-by-step explanation:

Isosceles triangles have 2 angles are the same. Since we can't do 140, because interior angles of a triangle equal 180, then we need to subtract 140 from 180. 180-140=40. 40/2 because of 2 angles=20. 20 is the angle.

Answer:

20

Step-by-step explanation:

How do you step by step solve the equation n(n+2) = 0

Answers

Answer: n = 0 and -2

Step-by-step explanation:

Equate the expressions to zero

n(n+2) = 0

n = 0 and n+2 = 0

n = 0 and n = -2

The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.

Answers

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Which student chose pieces that can be used to construct a triangle? don margo sonji liam

Answers

Sonji choses the pieces that can be used to construct a triangle.

Given the question is shown in attached image.

We have to find which student chose pieces that can be used to construct a triangle.

Here, we will use the third important property of triangles is the triangle inequality rule, which states that the one length of a side of a triangle is always less than the sum of the lengths of the other two sides which are left and greater than the difference of the lengths of the other two sides.

So, applying this property in each case:

Case 1. Don’s uses the wires which measure 3 inches, 5 inches, and 12 inches.

Now using property

since sum of two sides = 3+5 =8

As we see here the third side 12 is not less than 8

So, Don’s wire cannot be used .

Case 2. Margo’s uses the wires which measure 6 inches, 8 inches, and 14 inches.

Now using property

since sum of two side :8+6=14

But third side 14 is not less than 14

So, Margo’s wire cannot be used .

Case 3. Sonji’s uses the wires which measure 12 inches, 8 inches, and 17 inches.

Now using property

since sum of two side :12+8=20

third side 17 is  less than 20

Now , difference of two sides : 12-8=4

third side 17 is greater than 4

So, Sonji’s wire can be used .

Case 4. Liam’s uses the wires which measure 16 inches, 8 inches, and 27 inches.

Now using property

since sum of two side :16+8 =24

But third side 27 is not less than 24

So, Liam’s wire cannot be used .

Hence, according to the question sonji choses the pieces that can be used to construct a triangle which is shown in attached image.

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Which student chose pieces that can be used to construct a triangle? don margo sonji liam

Raoul estimated the difference of 97.23 and 8.3 by rounding each number to the nearest whole. what was raoul's estimate, and what is the actual difference of the numbers? enter your answers in the boxes. raoul estimated the difference to be . the actual difference is . skip to navigation

Answers

The actual difference is 88.93

What is basic algebra ?

Algebra, a branch of mathematics, facilitates the representation of situations or issues as mathematical expressions. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical expression. All branches of mathematics, such as trigonometry, calculus, and coordinate geometry, employ algebra.

Given that :Raoul estimated the difference of 97.23 and 8.3

Raoul estimated the difference to be: 89

97.23 --> 97

8.3 --> 8

97-8= 89

The actual difference is: 88.93

97.23-8.3 = 88.93

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Evaluate f(x) = 4x + 1 when x = - 1

Evaluate f(x) = 4x + 1 when x = - 1

Answers

Answer:

-3

Step-by-step explanation:

4.-1=-4 +1=-3 this is the Explain

What is the equation of the graphed line written in standard form? 1. 2x + 3y = -6 2. 2x + 3y = 6 3. y= -2/3 x -24. y= 2/3 x -2

What is the equation of the graphed line written in standard form? 1. 2x + 3y = -6 2. 2x + 3y = 6 3.

Answers

Step 1

Write the point form slope equation of a line

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

Wherefrom the graph

\(\begin{gathered} y_2=0 \\ x_2=-3 \\ x_1=0 \\ y_1=-2 \end{gathered}\)

Step 2

Substitute and get the equation

\(\begin{gathered} y\text{ -(-2)=}\frac{0-(-2)}{-3-0}(x-0) \\ y+2=\frac{2}{-3}x \\ y\text{ = -}\frac{2}{3}x-2 \end{gathered}\)

Hence the right answer is option C

What is the equation of the graphed line written in standard form? 1. 2x + 3y = -6 2. 2x + 3y = 6 3.

Describe the shape of the data set (symmetrical, skewed, etc.) (statistic)

Describe the shape of the data set (symmetrical, skewed, etc.) (statistic)

Answers

Answer:

Skewed left

Step-by-step explanation:

The outlier extends the curve making it skewed left is what i think

Find the Cartesian coordinates of the given polar coordinates. Then plot the point.
a. (4, 5π/2)
b. (4, −7π/6)

Answers

Therefore, the Cartesian coordinates for the polar coordinates (4, -7π/6) are (-2√3, -2).

To find the Cartesian coordinates of the given polar coordinates, we can use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

where r is the radius and θ is the angle in radians.

Let's calculate the Cartesian coordinates and plot the points:

a. (4, 5π/2)

Using the formulas:

x = 4 * cos(5π/2)

y = 4 * sin(5π/2)

x = 4 * 0

y = 4 * (-1)

x = 0

y = -4

Therefore, the Cartesian coordinates for the polar coordinates (4, 5π/2) are (0, -4). Plotting this point on a graph would yield a point at the origin (0, 0) since the x-coordinate is 0 and the y-coordinate is -4.

b. (4, -7π/6)

Using the formulas:

x = 4 * cos(-7π/6)

y = 4 * sin(-7π/6)

x = 4 * (-√3/2)

y = 4 * (-1/2)

x = -2√3

y = -2

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[ 1 ] [1 2 6 3 4]
is the vector [ 1 ] in the column space of the matrix a = [2 0 2 1 3] ? justify your answer. [ 3 ] [1 5 0 1 2]

Answers

No, the vector [1] is not in the column space of matrix a = [2 0 2 1 3].

The column space of a matrix is the set of all linear combinations of its columns. To determine if [1] is in the column space of a, we need to check if there exists a linear combination of the columns of a that equals [1].

Let c1, c2, c3, c4, and c5 be constants such that

c1[2] + c2[0] + c3[2] + c4[1] + c5[3] = [1].

This simplifies to 2c1 + 2c3 + c4 + 3c5 = 1.

There is no solution to this equation, since the left-hand side is always even (due to the presence of even coefficients) and the right-hand side is odd. Therefore, [1] is not in the column space of a.

No, [1] is not in the column space of the matrix a.

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ari thinks the perfect milkshake has 5 55 scoops of ice cream for every 3 33 spoonfuls of caramel. freeze zone makes batches of milkshakes with 10 1010 scoops of ice cream and 7 77 spoonfuls of caramel. what will ari think about the amount of caramel in freeze zone milkshakes?

Answers

Ari will likely think that the amount of caramel in Freeze Zone milkshakes is too high, since the ratio of ice cream to caramel is much higher than her ideal ratio.

Ari's ideal ratio of ice cream to caramel for a milkshake is 5 scoops of ice cream for every 3 spoonfuls of caramel. Freeze Zone's milkshakes, however, have a ratio of 10 scoops of ice cream for every 7 spoonfuls of caramel, which is significantly higher than Ari's ideal ratio. Therefore, Ari will likely think that the amount of caramel in Freeze Zone milkshakes is too high. The higher ratio of ice cream to caramel means that the milkshake will be sweeter, and may not have the desired balance of flavors that Ari prefers. Ari may also think the milkshake is too heavy or overly sweet, since the extra caramel creates a consistency that is different from what she is used to. Ultimately, Ari will likely think that the amount of caramel in Freeze Zone's milkshakes is too high for her liking.

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38. What method does Loewen use to detect falsehoods in textbooks, i.e. how does he go about in detecting that the texts contain distortions and significant silences?

Answers

Loewen utilizes a systematic approach to identify falsehoods in textbooks by detecting distortions and significant omissions.

Loewen employs a rigorous method to evaluate textbooks for inaccuracies and biases. He critically analyzes the content, looking for distortions, manipulations, and significant silences that may perpetuate misinformation or create a biased narrative. Loewen focuses on identifying factual errors, misleading interpretations, and intentional omissions of crucial historical events or perspectives.

To accomplish this, Loewen compares multiple textbooks, cross-referencing information to verify its accuracy. He also consults primary sources and scholarly works to fact-check claims and fill in gaps left by the textbooks. By scrutinizing the content through multiple lenses and employing a comprehensive research approach, Loewen aims to uncover distortions and significant omissions that may shape students' understanding of history and perpetuate a biased or incomplete narrative. His method ensures a thorough examination of textbook content, promoting critical thinking and an accurate representation of historical events.

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Simplify fully

4x^+ 4x/-2x^-2

Answers

Answer: -12x

Step-by-step explanation: 4x +4 −2 −2x

Calculate x to the power of 1 and get x.

4x+4×( −2 −2x )

Calculate 2 to the power of −2 and get  41.

4x+4×( − 41x)

Divide x by − 41

​by multiplying x by the reciprocal of − 41 .

4x+4×( −1x×4)

Anything divided by -1 gives its opposite.

4x+4(−x×4)

Multiply 4 and −1 to get −4.

4x−4x×4

Multiply −4 and 4 to get −16.

4x−16x

Combine 4x and −16x to get −12x.

−12x

find the coordinates of the point p on the circumference of the circle. (hint: add x- and y-axes, assuming that the angle is in standard position.)

Answers

The coordinates of the point p on the circumference of the circle is: P(x, y) = (150 cos θ, 150 sin θ)

To solve the problem we need to follow the below steps:

Step 1: Set up an xy-coordinate system

Step 2: Put the center of the circle at the origin

Step 3: Use the radius (150) to find the point P on the circle

The circumference is the distance around a circle.

It is calculated as 2πr.

Here, we are given the radius of the circle as 150.

So, the circumference of the circle is: C = 2πr = 2π × 150 = 300π

The coordinates of a point P on a circle with radius r and center (a, b) are given by: P(x, y) = (a + r cos θ, b + r sin θ)

Here, we can see that the center of the circle is at the origin (0, 0).

So, the coordinates of the point P on the circle are: P(x, y) = (0 + 150 cos θ, 0 + 150 sin θ)P(x, y) = (150 cos θ, 150 sin θ)

Since we are not given any value for the angle θ, we cannot find the exact values of x and y.

But we can write the coordinates of the point P on the circle in terms of θ.

So, the answer is: P(x, y) = (150 cos θ, 150 sin θ)

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Can someone pls help me with this?? I’m in a rush it’s due at 11:59 pm..pls help! And show work pls and thx

Can someone pls help me with this?? Im in a rush its due at 11:59 pm..pls help! And show work pls and

Answers

Answer:

D. 4.5

Step-by-step explanation:

<3

Answer:the answer will be D)4.5

Step-by-step explanation:

Lyle and Shaun open savings accounts at the same time. Lyle deposits $100 initially and adds $20 per week. Shaun deposits $500 initially and adds $10 per week. Lyle wants to know when he will have the same amount in his savings account as Shaun.
Part A: Write two equations to represent the amounts of money Lyle and Shaun have in their accounts
f(x=
g(x)=
Part B: to solve the system you will make f(x)=g(x)

Answers

A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

How to Write the Equation of a System?

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

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2. Help me find the mode of these data set: 12, 10, 10, 10, 13,12, 11, 13, 10
(2 Points)
1. 10
2. 10 & 12
3. no mode
4. 12

Answers

Answer:

10 is the answer for this

please mark me as brilliant

the angle measurements in the diagram are represented by the following expressions.

the angle measurements in the diagram are represented by the following expressions.

Answers

5x-12=2x+24
-2x -2x
3x-12=24
+12 +12
3x=36
/3 /3
x=12

which of the following is true about the expected value of perfect information?
a. It is the amount you would pay for any sample study.
b. It is calculated as EMV minus EOL.
c. It is calculated as expected value with perfect information minus maximum EMV.
d. It is the amount charged for marketing research.

Answers

The expected value of perfect information (EVPI) is calculated as EVwPI minus maximum EMV. It quantifies the value of perfect information in decision-making.


The expected value of perfect information (EVPI) is a concept used in decision analysis. It represents the maximum amount of money an individual would pay to have perfect information about an uncertain event before making a decision.

To calculate EVPI, you start with the expected value with perfect information (EVwPI), which is the expected value when you have complete and accurate information about the uncertain event. Then, you subtract the maximum expected monetary value (EMV) from the EVwPI.

The EMV represents the expected monetary value of the decision without any additional information. By subtracting the maximum EMV from the EVwPI, you are essentially measuring the value of the additional information in terms of monetary gain.

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Marianne purchased s shares of a corporation that pays a d dollars quarterly dividend. What is the annual

dividend income, expressed algebraically?

O A. Ads

OB. Ds

O c. Ds

O D

Answers

The annual dividend income, expressed algebraically, for s shares of a corporation that pays a d dollars quarterly dividend is 4ds, where d is the quarterly dividend amount and s is the number of shares.

To find the annual dividend income, expressed algebraically, for s shares of a corporation that pays a d dollars quarterly dividend, we need to consider how many quarters there are in a year and then multiply that by the quarterly dividend amount.

Let's start by finding the number of quarters in a year. There are 12 months in a year, and since each quarter is three months, there are four quarters in a year. Therefore, the number of quarters in a year is 4. Next, we can find the total annual dividend income for s shares by multiplying the quarterly dividend amount (d) by the number of quarters in a year (4) and by the number of shares (s).

This can be expressed algebraically as follows:

Annual dividend income = (d x 4) x s

Simplifying this expression, we get:

Annual dividend income = 4ds

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Dennis biked 8 km and Patrick ran 6,172 m. Who traveled farther and by how much?

Answers

Answer:

Dennis : 4.971 miles

Patrick : 3.835 miles

Dennis ran 1.136 miles farther

Twenty-four is ___% of 80

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

i really don't have a method for this, just try a number you think is close, go up, or down depending on the number

A four member bowling team decided they wanted new outfits. Shirts cost $15 each, pants cost $26 each and shoes cost $40 each.What is the total cost of the new outfits for all of the members?

Answers

Given:

A four member bowling team decided they wanted new outfits. Shirts cost $15 each, pants cost $26 each and shoes cost $40 each.

Required:

We need to find the total cost.

Explanation:

First we find total cost for 1 member

\(15+26+40=81\)

$81 for each member but here we have 4 members so we need to multiply with 4 to the each person's cost

\(4*81=324\)

Final answer:

Cost for 1 member is $81

cost for all member is $324

Answer: $324

Explanation: Alright, let's pretend that you are the cost manager or fiduciary (a person who holds assets in trust for someone else. That person has a fiduciary duty to take care of the money.)
First thing is, we need to find the cost for a single member of the team. Now ofcourse each person needs atleast one shirt, pants and one pair of shoes. How much would a shirt, pant and a pair of shoes cost ? Calculate:
one shirt  - - -  $15
one pant  - - - $26
1pair shoe - - +$40
Total bills:       $81

Each member needs atleast $81. There are four members in total. Thus if one member needs 81 dollars then 4 members would need $81 + $81 + $81 + $81 = $324  OR   for shortcut method: $81 * 4 = $324

Done! That's all. Hope it helped

Approximate the limit by filling in the table. Round to the nearest thousandth. lim_h rightarrow 20^+ (h^2 + 400/h - 20)

Answers

The limit as h approaches 20 from the right of the expression (h^2 + 400/h - 20) is approximately equal to 400.

To evaluate the limit, we substitute 20 into the expression and see what value it approaches. Plugging in 20, we get (20^2 + 400/20 - 20), which simplifies to (400 + 20 - 20) = 400. Since the limit is approached from the right, it means that h is slightly greater than 20. As h approaches 20, the term 400/h becomes negligible compared to h^2, and the term -20 also becomes insignificant. Thus, the dominant term in the expression is h^2, which tends to 400 as h approaches 20. Therefore, the limit of the expression as h approaches 20 from the right is approximately 400.

As h approaches 20 from the right in the expression (h^2 + 400/h - 20), the limit is approximately equal to 400. This can be understood by considering the dominant term, h^2, in the expression, which overwhelms the other terms as h gets close to 20.

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According the the video with Erin Myer you can't start thinking about global teamwork or multi-cultural interaction unless you think about:RelativityInternational culturesCultural managementCollaborationRelativity you will write a program to model a series of stock market transactions over time. your program will allow a user to examine stock prices and find trends using real historical price data. Compltez avec articles contracts(au/ la/ l'/aux)= to the/in the( du/de la/de l'/des) = from the1. Je vais _ la ___ piscine (f).2. Tu vas __ l'_universit.3. Elle va _______ centre-ville.4. Ils vont __________ Invalides5. Je viens ________ piscine6. Tu viens _________universit.7. Elle vient __________ centre-ville.8. Ils viennent ______ Invalides.9. Elle court ________ toilettes.10. Je parle___ enfants de VictorQ5. Compltez avec les prpositions devant les noms de pays et des villes(/au/aux/en)(de/du/de l/des)Pay attention to ALLER verb & VENIR VERB.F pays ( en / de la/ de l)M-pays vowel ( en / de l) (En Iran/ De l Iraq) M pays (au / du) Plural pays (aux/ des) La France Je vais ____en______France La Belgique Elle va ______________ Belgique La Suisse Elles vont__________ Suisse Wallpaper was applied to one rectangular wall of a large room. The dimensions of the wall are shown below. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot? Which of the following is NOT a type of cvic duty?A. legalB. educationalC. executiveD. financial How many cubes with side length of 4cm can be packed into a wooden box measuring 32cm by 16cm by 8cmPLEASE HELP Me!! factor the polynomial, given that x=-3 is a zero What is 6 mass number?what is 6 number of portons?what is 6 number of electrons?what is 6 element symbol? Dans la hotte du pre Nol, il ne reste que 10 cadeaux, dont lesemballages ont tous la mme forme : 2 trains en bois, 5 poupes et3 kits dactivits manuelles. Il a oubli de mettre les prnoms desenfants qui ils taient destins Il va donc faire tirer un jouet auhasard pour le dposer au pied du prochain sapin1) Quelle est la probabilit quil tire un train en bois ?2) Quelle est la probabilit quil tire une poupe ?3) Quelle est la probabilit quil tire un kit dactivits manuelles ? Write a paragraph proof of theorem