One side of a triangle has length 6 in. and another side has length 3 in. Which is the greatest possible value for the length of the third side?

Answers

Answer 1

Answer:

the ancwer is 18 in.

Step-by-step explanation:

thanks googel

Answer 2

The greatest possible value for the length of the third side is 8.9 .

What is Triangle Inequality theorem?

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

According to the question

One side of a triangle has length 6 in. and another side has length 3 in.  

Let side be a, b, c  

a = 6 inches

b = 3 inches

Now,

According to the Triangle Inequality theorem

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

a + b > c

6+3 > c

9 > c

a + c > b

i.e

6+c > 3 ( Not possible )

b + c > a

3 + c > 6

c > 3

or

difference of two sides <c< sum of two sides, will give you the possible length of a triangle.

Therefore, 6−3<c<6+3

The third side is between 3 and 9 .

Hence, the greatest possible value for the length of the third side is 8.9 .

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Related Questions

Solve the inequality 2x+3 < 7

Answers

Answer:

x < 2

Step-by-step explanation:

2x + 3 < 7

2x < 4

x < 2

Answer:

x<2

Step-by-step explanation:

2x<7−3  

2x<4  

x<4/2

​x<2

 

· Check Your Understandin
What is the absolute value of -10?
What is the absolute value of -10?

Answers

Answer:

10

Step-by-step explanation:

the absolute value of a number is the distance from 0

the answer will ALWAYS be positive ;)

Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.

C = ???
The slope of the function is ? which represents:
A: The total charge of using a computer
B: The number of minutes the computer was used
C: The additional charge per minute
D: The initial charge to use a computer

Answers

Answer:

  C = 1/5t +6

  slope: 1/5, (C) The additional charge per minute

Step-by-step explanation:

Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...

  m = rise/run = 1/5

The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...

  C = 1/5t +6

__

As we saw above, the slope of the function is 1/5, which represents ...

  the additional charge per minute

What is the value of this expression -3/4+(1/10 divided by 2/5)?

Answers

Step-by-step explanation:

1/10÷2/5=0.25

-3/4=-0.75

-0.75+0.25=-1

Solve for x. x/5 = 20

Answers

Answer:

100

Step-by-step explanation:

x / 5 = 20

Cross multiply,

x = 20 * 5

x = 100

Answer:

X = 100

Step-by-step explanation:

x/5 = 20

You do the same thing on the top as the bottom to cancel out and leave x by itself

5x/5 =20

whatever you do for one side you do for the other side

5x/5 = 20*5

the 5 cancel out leaving x by itself

so x = then 20 times 5 = 100

so x =100

Hope this helps. Please mark brainlist

If a line has the x-intercept of (4,0) and no y-intercept, what is the Slope-intercept form equation ? Please !!

Answers

Answer:

y=mx+c

0=m(4)+c

c=4m

positive slope

Which of the following is a solution of y - x < -3?

(6, 2)
(2, 6)
(2, -1)

Answers

Answer:

2,-1

Step-by-step explanation:

Simply (x-4) (x^2 + 3x - 1)

Answers

Answer:

The answer is x³ - x² - 13x + 4.

Step-by-step explanation:

I have this was helpful <3

Answer:

[tex]x^3-x^2-13x+4[/tex]

Step-by-step explanation:

Distribute

[tex](x-4)(x^2+3x-1)[/tex]

[tex]x(x^2+3x-1)-4(x^2+3x-1)[/tex]

Distribute

[tex]x(x^2+3x-1)-4(x^2+3x-1)[/tex]

[tex]x^3+3x^2-x-4(x^2+3x-1)[/tex]

Distribute

[tex]x^3+3x^2-x-4(x^2+3x-1)[/tex]

[tex]x^3+3x^2-x-4x^2-12x+4[/tex]

Combine like term

[tex]x^3+3x^2-x-4^2-12x+4[/tex]

[tex]x^3-1x^2-x-12x+4[/tex]

Combine like term

[tex]x^3-x^2-x-12x+4[/tex]

[tex]x^3-x^2-13x+4[/tex]

Solution

[tex]x^3-x^2-13x+4[/tex]

GIVING BRAINLIEST TO THE FIRST PERSON TO ANSWER THIS| Amos scored 100 points while playing 3 rounds of a game, Points Round 1 30 Round 2 25 Round 3 2 Total 100 How many points did he score in round 3? Complete the steps to solve the problem. 1. What do you need to solve for in this problem? Choose a variable to represent this unknown value 1 Write your answer in the space below​

Answers

Answer:

x45 for number 1 you need to add up round 1 and round 2 with 3 unanswered and that will give you 55 plus 45 is 100

Step-by-step explanation:

Answer:

Oh yeah You just answered my question thank you for the 50 points tho

Step-by-step explanation:

Daddy CHIll

anyone can u please help me.

Answers

Answer: i cant see the pic i would help but i cant see picture

Step-by-step explanation:

52 square inch is the surface area of the given card box.

What is the Surface area?

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

Given a card box of size 8 by 10 inches. the surface area of the card box can be calculated by dividing the card box into three parts, such that:

one piece with a dimension of 4 by 10 and another piece with a dimension of 2 by 3 inches.

Area of card of 4 by 10-inch dimension = 4*10 = 40

Area of card of 2 by 3 dimension = 2 *3 = 6

Thus,

The total area of the card box = Area of bigger card +2*area of smaller card

The total area of the card box = 40 + 2*6 = 52 inches square

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i have a question here. ​

Answers

Answer:

3 ways

Step-by-step explanation:

n = 3; r = 2

[tex]nC_{r}=\dfrac{n!}{r!(n-r)!}\\\\3C_{2}=\dfrac{3!}{2!1!}=\dfrac{3*2*1}{2*1}=3[/tex]

PLS HELP DESPERATE *85 POINTS*

Answers

Answer:

The length of the diagonal is 8.3

Step-by-step explanation:

The formula for finding the length of the diagonal in rectangular prism is:

d = √[tex](l^{2} + w^{2} + h^{2})[/tex]

"l" represents the length which is 7

"w" represents the width which is 4

"h" represents the width which is 2

Substitute the values to the formula.

d = √([tex]7^{2} ) + (4^{2} ) + (2^{2} )[/tex]

d = √49 + 16 + 4

d = √65 + 4

d = √69

Find the square root of 69 using calculator.

d = 8.30662386292

The direction said round the answer to the nearest tenth. So the answer must be 8.3

Chris hates math. It takes Chris 8 minutes to complete a word problem, and 5 minutes to answer a graphing question. Every night, Chris has 2 hours to spend on math homework. a. Write an equation with the number of word problems x (for eXhausting) and the number of graphing questions y (for yuck, or whyyyy) to represent how many problems of each type Chris can complete in one night.

Answers

8W+5G= 120

If needed, in my work I included constraints for the variables

I NEED THE ANSWER ASAP

Find the solution to the following system by substitution.

2x + y = 20
y = 2x

A. (10,0)
B. (0,20)
C. (5, 10)
D. (10, 20)

Answers

The answers are A and c
Answer:

(5, 10)

Step-by-step explanation:

2x + y = 20

y = 2x

2x + 2x = 20

4x = 20

x = 20/4

x = 5

2(5) + y = 20

10 + y = 20

y = 10

Solution: (5, 10)

From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at an altitude of 9 kilometers, how far from the farmhouse will the airplane be after it has traveled 12 kilometers at the same altitude?

Answers

Answer:

Step-by-step explanation:

In the image below.

I hope I've helped you.

Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. Thus, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results. Once you have the pro forma model created, please briefly describe your results and how various changes in unit volume, price, and costs can change your valuation results. This analysis includes the 20% increase and decrease in sales volumes.

Barton PC is a small-cap computer company located in Wilson NC. The company operations officer, Nancy Simpson, is also part owner in the company. Nancy started the company in the mid-90’s as a producer of small laptop computers. Over the years, laptop computer usage has slowly declined as consumers have moved to more mobile-centric devices. To capture this growing trend, Barton PC created the Barton-1 smartphone. The phone comes in just one model and has generated excellent sales. As with all modern electronics however, technology changes rapidly and the company is concerned sales will fall as new and existing competitors enter the market.
To ensure continued robust sales, Barton PC has spent $750,000 to develop a new prototype smartphone with new and enhanced features. To more fully understand the expected sales of the phone, a marketing study for $200,000 was also conducted
Nancy estimates the new phone’s variable manufacturing cost will be $205 per unit. Fixed costs for the project are estimated to run $5.1 million per year. The estimated 5-year sales volumes for the new phone are as follows: 64,000, 106,000, 87,000, 78,000 and 54,000 per year. Based on market research, Nancy feels the phone can be sold for $485 per phone. However, Nancy also finds there will be considerable upstart costs to start production. New equipment will be purchased for $34.5 million and will be depreciated on a seven-year MACRS schedule. It is believed the market value of the equipment in 5 years will be fully depreciated.


Net working capital for the phone will be 20% of sales and will occur with timing of the cash flows each year. In this case there are no startup costs for networking capital. Changes in net working capital will thus start when sales occur in year 1. The company has a 35% corporate tax rate and a required return on capital of 12%.

To ensure the phone creates value for the company, Nancy has requested a valuation analysis for the project. Specifically, she would like to see the net present value (NPV) and internal rate of return (IRR) for the phone over the 5-year expected sales. She would also like to see how these metrics change with various unit sales scenarios or 20% less and 20% more in unit volume sales.

Answers

Answer:How is pro forma income statement calculated?

Image result for Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. This, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results.

How to Create A Pro Forma Income Statement

Sales (or Revenue) - Cost of Goods Sold = Gross Income (or Gross Earnings)

Gross Income (or Gross Sales/Earnings) - Operating Expenses = Operating Income.

Operating Income - Depreciation = EBIT.

EBIT - Interest Expense = EBT.

EBT – Taxes = Net Income (Net Earnings, EAT, Profits)

Step-by-step explanation:

To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?

1. ∠DEF ≅ ∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF

Answers

The additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG

Recall:

If two triangles have three pairs of congruent sides, the two triangles can be proven to be congruent triangles based on the SSS Congruence Theorem.

In the figure given, ΔDEF and ΔDGF is shown to have the following two pairs of congruent sides:

EF ≅ GF

DF ≅ DF (both triangles share a common side)

We need an additional information that shows that the third sides of both triangles (DE and DG) are congruent to each other.

Therefore, the additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG

Learn more about SSS Congruence Theorem on:

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Answer:

C. DE ≅ DG

Step-by-step explanation:

Have a good day!

help please, giving brainliest.

Answers

Answer:

S=L+W

8+8+8+8

16+16

=56

What is 4/7 as a decimal rounded to 3 decimal places?

Answers

Answer:

0.571

You're Welcome

HELP PLS ASAP I WILL AWARD BRAINLIEST!!!

Answers

Answer:

32

Step-by-step explanation:

the cofactor of 24 is then subtracted by the diameter of pi and then sent to the power of 2 after that divide by 2 and multiply by 6

A garden has width √6 and length 3√6. What is the perimeter of the garden in simplest radical form?

Answers

Answer:

[tex]8\sqrt{6}[/tex] units

Step-by-step explanation:

Assuming the garden is in a rectangular shape:

The perimeter of a shape is the sum of all the sides, so in the case of a rectangle, this is

P=l+l+w+w=2(l)+2(w)=2(l+w)

where l is the length and w is the width. Here, you are given the length and width, so plug them in.

[tex]P=2(l+w)=2(3\sqrt{6}+\sqrt{6})=2(4\sqrt{6})=8\sqrt{6}[/tex]

Your answer is [tex]8\sqrt{6}[/tex] units.

I hope this was helpful!

F(x)=x^2. What is g(x)?

Answers

Answer:

C

Step-by-step explanation:

X vertex = (0, - 3)

ax² + bx + c = y

0.x² + b.0 + c = - 3

c = - 3

Then:

The graphic of g(x) is the a one is negative, because the curve is below.

Then:

g(x) = - x² - 3

I hope I've helped you.

I hope you understand my English ^^

PLEASE HELP! Economics

Answers

Answer:

Are Included in calculating the parity of purchasing power .

Hope helps

(-2b+4)(6b^2-4b+2) multiplying

Answers

Answer:

[tex]( - 2b + 4)(6 {b}^{2} - 4b + 2) \\ \\ = - 12 {b}^{3} + 8 {b}^{2} - 4b + 24 {b}^{2} - 16b + 8 \\ \\ = - 12 {b}^{3} + 32 {b}^{2} - 20b + 8[/tex]

I hope I helped you^_^

Answer:

-12b^3 + 8b^2 - 4b + 24b^2 - 16b + 8

Hope this helps! Sorry I couldn't explain though :(

Write 0.00000711 in scientific notation.

Answers

Answer:

7.11 x 10^-6

Step-by-step explanation:

If the circumference is 24π what is the diameter?



ඞ copy and paste this if u want it <3

Answers

Answer:

144pi

Step-by-step explanation:

i looked it up..

Answer:

12π

Step-by-step explanation:ඞ copy and paste this if u want it <3

solve the following quadratic equation by factorisation method 3 x square - 2 root 6 × + 2 =0​

Answers

3x^2 -2root(6)x + 2 = 0

(root(3)x)^2 -2[root(3)x]root(2)+ (root(2))^2 = 0

let a = root(3)x and b = root(2)

a^2 -2ab + b^2 = 0

(a - b)^2 = 0

by the null factor rule,

a - b = 0

sub back in a and b

root(3)x = root(2)

x = root(3)/root(3)

index notation 200 ..........................................

Answers

Answer:

I don't know if you're asking for the product of prime using index notation but I got :

2 × 2 × 2 × 5 × 5

Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
x + y = 7
x - y = 5
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is x= 6 and y = 1. (Type integers or simplified fractions.)


** i know that x=6 and Y=1. I don’t know how to graph it. It gives me a hint that the lines need to be in slope intercept form but again, I dont know how to graph! **

Answers

So the easiest way would be to change them into slope intercept form

x + y = 7

y = - x + 7

x - y = 5

y = x - 5

The coefficient of x is the slope, since none of them have a coefficient, their slopes are 1. The first line has negative x which means the slope is negative one, which you can draw from top left to bottom right and a positive slope is drawn from top right to bottom left.

The number after x is the y-intercept which is where the line intercepts the y-axis.

To draw, put a dot on the y-intercept and with a slope of one, go up and right one, or the opposite which is go down one and left one and put another dot and draw a line between the two dots. With a slope of negative one, go up one and go left one, or the opposite which is go down one and right one and draw a line between the two dots.

Divide, using the polynomial long division algorithm. Fill in your work below

Answers

Check the picture below.

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