Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality.
8 and 13

Answers

Answer 1
Answer:  5 < x < 21

Explanation:

Let x be the length of the third side. We can't find the exact value of x, as we don't have enough info, but we can find possible values for x.

The lower boundary for x is 13-8 = 5. It must be larger than this value.

At the same time, x must be smaller than 13+8 = 21 as well.

So x > 5 and x < 21 becomes 5 < x < 21

In short, x is between 5 and 21. It cannot equal either endpoint.

Answer 2

Answer:

Step-by-step explanation:

:)

Given The Lengths Of Two Sides Of A Triangle, Find The Range For The Length Of The Third Side. (Range

Related Questions

Estimate the solution to the system of equations.

Answers

Answer:

Find it in the explanation

Step-by-step explanation:

Equate the two solutions.

2x+3y=6 is exactly half of -4x+3y=12, so multiply 2x+3y=6 by 2.

Now we get

4x+6y=12 and

-4x+3y=12

Here what operation you use is your choice, but because I see a positive 4x and a negative 4x down below, I'm gonna use addition to cancel out the x.

Adding these two equations together, I get:

9y=24

y=24/9

in fraction form y= 2 and 2 thirds.

Plug that in any of the equations and solve for the value of x, which will be -1

Therefore, the coordinates are (-1, 2 and 2/3)

Answer:

The answer is x= -1/2 and y= 7/3 or 2whole 1/3.

hope it helps..

Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

Answers

Answer:

Options?

Step-by-step explanation:

Answer:

3.7 meters

Step-by-step explanation:

Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction

Answers

Answer:

[tex]\frac{4}{6}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{8.5}{12.5}[/tex]

Step-by-step explanation:

The set of ratios must have numerators coming from the same triangle and denominators coming from the same triangle. The other set of ratios have some numerators coming from both triangles and/or denominators coming from both triangles.

Answer:

A

Step-by-step explanation:

In the circle below, O is the center, MP is a diameter, and m angle POL = 85º. Find the measure of LNP.

Answers

Answer:170

Step-by-step explanation:

The measure of angle LNP is 275 degrees.

What is the inscribed angle theorem?

The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.

In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.

The measure of angle  LNP is determined in the following steps given below.

[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]

Hence, the measure of angle LNP is 275 degrees.

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What is the arithmetic mean of the following numbers? 6 , 4 , 1 , 9 , 3 , 8 , 3 , 5 , 10

Answers

Answer:

5.4

Step-by-step explanation

First find the mean of the numbers which you do by adding the numbers all together and then you will get 49.Then you have to divide 49 by the amount of numbers there are so there are 9 numbers so you do 49 ÷ 9 and you will get 5.4.Answer = 5.4

The arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

What is arithmetic mean?

The arithmetic mean is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.

According to the given question we have

A data set  6, 4, 1, 9, 3, 8, 3, 5, 10

The total numbers in the given data set is 9

Therefore, the arithmetic mean of the given data set is given by

Arithmetic mean = [tex]\frac{6 +4+1+9+3+8+3+5+10}{9}[/tex]

Arithmetic mean = [tex]\frac{49}{9}[/tex]

Arithmetic mean = 5.4

Hence, the arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

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Two kinds of fish can be found in a small tank. The blue fish is two fifthteenths feet long and the orange fish is seven tenths feet long. How much longer is the orange fish?

Answers

Answer:17/30

Step-by-step explanation:

You have 2/15 and 7/10. You have to find a common denominator. I used 30. Multiply 2/15 by 2/2 and 7/10 by 3/3 to get 4/30 and 21/30. Then solve this equation: 21/30-4/30. The answer is the answer to the problem.

Find the value of 3[tex]\sqrt{x}[/tex] + 7 if x = 25.

Answers

Answer:

The answer is

22

Step-by-step explanation:

3√x + 7

x = 25

Substitute the value of x into the expression

That's

3(√25) + 7

√25 = 5

So we have

3(5) + 7

= 15 + 7

= 22

Hope this helps you

Answer:

22

Step-by-step explanation:

3 + 7 if x = 25.

3/25+7

3x5+7 multiply

15+7 calculate

solution =22

got it right on the test!

umm i dont know why i am getting a different answer from the ones that are listed plz help

Answers

Answer:

A.  5 : 3

Step-by-step explanation:

Number of blue cups : Number of red cups

10 : 6

Divide to the lowest terms

10 ÷ 2 : 6 ÷2

5 : 3

Answer:

The answer is A

Step-by-step explanation:

The ratio of blue cups to red cups is 10:6 you can figure this out by counting how many blue cups there are and how many red cups there are.

Now that you have your ratio of 10:6 which means for every 10 blue cups there will be 6 red cups. You can work with this and find equivalent ratios by multiplying or dividing. In this case you would have to divide in half to find the ratio 5:3

Hope this helps!

A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he paid a total of $663 for the 6 sets, the cost of each table is
$
.

Answers

Answer:

c

Step-by-step explanation:

Answer:

$62

Step-by-step explanation:

WILL MARK BRAINLIEST Beth has a graph to represent her distance when she runs 5 miles per hour. What would the point (2, 10) mean on her graph? Explain what this graph might look like.

Answers

Answer:

Ok so you have to find how much it goes up at a time. So the first one is 1,5. Then multiply both by 5 to get 5,25. That is your answer then. The graph will have 5 on the bottom and 25 on the side.

Step-by-step explanation:

a hummingbird flies forward 149 meters backward 57 meters and forward 23 meters write an equation that can be used to find how far forward the hummingbird flew.



Please help due today

Answers

Answer:

X=149-57+23

Step-by-step explanation:

X=149-57+23

Answer:

distance = 149 -57 +23

(-) is backward

(+) is forward

Triangle DEF will be rotated 180° clockwise. Where will D’ be located?

a. (4, -7)
b. (-4, -7)
c. (-7, 4)
d. (-7, -4)

Answers

Answer:

a. (4, -7)

Step-by-step explanation:

Point D is at (-4,7).

Rule for a 180° rotation clockwise around the origin:

[tex](x,y)\rightarrow(-x,-y)[/tex]

Apply the rule to point D:

[tex](-4,7)\rightarrow(4,-7)\\\\\left \{ {{-4*-1=4} \atop {7*-1=-7}} \right.[/tex]

Option A should be the correct answer.

Brainilest Appreciated.

Answer:

a. (4, -7)

Step-by-step explanation:

which expression below would not be equivalent to 12n+ 6










1) 3(4n+2)
2) 2(6n+3)
3) 6(2n+1
4)12 (n +4)

Answers

Answer:

4)12(n+4)

    =12n+48

Step-by-step explanation:

Answer:

4) 12(n + 4) = 12n + 48

Step-by-step explanation:

Image attached: some sort of triangle stuff

Answers

Answer:

C

Step-by-step explanation:

On edg 2020

Which equation could generate the curve in the graph below?

Answers

Answer:

The answer is option 1.

Step-by-step explanation:

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).

Option 1,

[tex]y = 3 {x}^{2} - 2x + 1[/tex]

[tex]D = {( - 2)}^{2} - 4(3)(1)[/tex]

[tex]D = - 8[/tex]

[tex]D < 0[/tex]

Option 2,

[tex]y = 3 {x}^{2} - 6x + 3[/tex]

[tex]D = {( - 6)}^{2} - 4(3)(3)[/tex]

[tex]D = 0[/tex]

Option 3,

[tex]y = 3 {x}^{2} - 7x + 1[/tex]

[tex]D = {( - 7)}^{2} - 4(3)(1)[/tex]

[tex]D = 37[/tex]

[tex]D > 0[/tex]

Option 4,

[tex]y = 3 {x}^{2} - 4x - 2[/tex]

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

[tex]D = 40[/tex]

[tex]D > 0[/tex]

As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.

The given curve in the graph is generated by the equation y =3x² - 2x +1. The correct option is A.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercepts).

Option 1,

y =3x² - 2x +1

D = b² - 4ac

D = ( -2 )² - ( 4 x 3 x 1 )

D = 4 - 12

D = -6

D < 0

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Select the correct answer from each drop-down menu. At a business conference, there were 10 social workers, 16 doctors, 5 lawyers, and 2 journalists. If a person is picked at random from the entire group, it is to be/likely/unlikey/niether. be a lawyer, and it is to be a doctor.

Answers

Answer:

If a person is picked at random from the entire group, it is  

unlikely

to be a lawyer, and it is.....

Unlikely was right but likely was wrong

Step-by-step explanation:

I honestly don't know the answer and that the person above me makes no sense.

he said "If a person is picked at random from the entire group, it is  

unlikely

to be a lawyer, and it is.....

Unlikely was right but likely was wrong

WHAT IS THE ANSWER TO THE DOCTOR PART???

PLZ ANSWER If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?

Answers

Answer:

y=(x-2)^2

Step-by-step explanation:

just simply change the sign.

Consider points a, b, and c in the graph. Which point is the global maximum? Question 6 options: A) b B) c C) None of these D)

Answers

point a is the maximum

Answer:

point a is the maximum

Step-by-step explanation:I took the test

The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?

Answers

Answer: -8 degrees

Step-by-step explanation: 12-4 is 8 so the difference is -8

The Goodsmell perfume producing company has a new line of perfume and is
designing a new bottle for it. Because of the expense of the glass required to
make the bottle, the surface area must be less than 150 cm2. The company also
wants the bottle to hold at least 100mL of perfume. The design under
consideration is in the shape of a cylinder.
Determine the maximum volume possible for a cylindrical bottle that has a total
surface area of less than 150 cm2. Determine the volume to the nearest 10mL.
Report the dimensions of the bottle and the corresponding surface area and
volume.

PLEASE WILL MARK BRAINLIEST​

Answers

Given:

It is given that surface area must be less than 150 cm².

Solution:

The Maximum Volume With Total Surface Area Less  than 150 cm² is shown in the table.

From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm²  and the volume will be the maximum.

[tex]S=2\pi rh+2\pi r^2\\S=2\pi (3)(7.95)+2\pi3^2\\S=93.3+56.5\\S=149.8 \text{ cm}^2[/tex]

Calculate the volume.

[tex]V=\pi r^2h\\V=\pi(3)^2(4.95)\\V=139.96[/tex]

Hence, the required dimensions are r=3.00 cm and h=4.95 cm.

What is the area, in square centimeters of the trapezoid below?

Answers

Answer:

68.8cm^2

Step-by-step explanation:

A trapezoid=h/2(b1+b2)

A trapezoid=6.4/2(12.9+8.6)

A trapezoid=3.2(21.5)

A trapezoid=68.8cm^2

What is the value of log,(5)1252
3
5
15
25

Answers

15 cause u will multiple then divide from each to get a good answer
The answer is 15 first you multiply Daniel divided. <3

No explanation needed answer fast TY

Answers

Answer:

50.24

Step-by-step explanation:

The first step is to find the area of it if it was a whole circle

you get this by squaring the radius

8*8 or 8^2= 64

then, you have to multiply it by 3.14 which gives you

200.96.

Then divide it by 4 to get a quarter of the circle to get the final answer

50.24

Hope this helps, if it does, please give me brainliest, it will help a lot :)

Have a good day

In the circle below, O is the center, MP is a diameter, and mZMOL = 60°. Find the measure of LNM.

Answers

Answer:

30°

Step-by-step explanation:

Hey, srry for the inaccurate sketch

I hope you will understand the way I solved it

If not, don't hesitate to ask questions ;)

Use DeMoivre's Theorem to find the following. Write your answer in
standard form.

Answers

Answer:

Option C.

Step-by-step explanation:

The given expression is

[tex]\left(\sqrt{2}cis \dfrac{9\pi}{20}\right)^5[/tex]

It can be rewritten as

[tex]\left(\sqrt{2}\cos \dfrac{9\pi}{20}+i\sin\dfrac{9\pi}{20}\right)^5[/tex]

According to De moivre's Theorem:

[tex][r(\cos\theta+i\sin \theta)]^n=r^n(\cos n\theta +i\sin n\theta)[/tex]

Using De moivre's Theorem, we get

[tex](\sqrt{2})^5\left(\cos \dfrac{9\pi\times 5}{20}+i\sin\dfrac{9\pi\times 5}{20}\right)[/tex]

[tex]=4\sqrt{2}\left(\cos \dfrac{9\pi}{4}+i\sin\dfrac{9\pi}{4}\right)[/tex]

[tex]=4\sqrt{2}\left(\cos (2\pi +\dfrac{\pi}{4})+i\sin (2\pi+\dfrac{\pi}{4})\right)[/tex]

[tex]=4\sqrt{2}\left(\cos \dfrac{\pi}{4}+i\sin \dfrac{\pi}{4}\right)[/tex]

[tex]=4\sqrt{2}\left(\dfrac{1}{\sqrt{2}}+i\dfrac{1}{\sqrt{2}}\right)[/tex]

[tex]=4+4i[/tex]

Therefore, the correct option is C.

Determine if the statement is always, sometimes or never true. The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle. always

Answers

Answer:

I believe it is never

Step-by-step explanation:

Sorry if I'm wrong ...

What is the remainder in the synthetic division problem below?

O A. 5
O B. 9
O O. 3
O D. 7​

Answers

Answer:

The answer is option D.

I hope it's what you require.

Answer:

D) 7

Step-by-step explanation:

1  /   4      6        -3

               4        10      

       4      10       7

   

Step 1: Carry down the first number 4 as it is

Step 2:  Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10

Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7

And now 7 is the remainder

ten times a number increased by eighty four equals 194. what is the number

Answers

Answer: x = 11

Step-by-step explanation:

10x+84=194

10x = "10 times a number"

+84 = "increased by eighty four"

=194 = "equals 194"

10x+84=194

Subtract 84

10x = 110

Divide by 10

x = 11

Hope it helps <3

Answer:

The number is 11

Step-by-step explanation:

Represent the number by n.

Then:  10n + 84 = 194.

Subtracting 84 from both sides, we get:  10n = 110, and so:

n = 110/10 = 11

according to a recent study the probability that a randomly selected individual wears glasses is 0.23. suppose you ask a random sample of 18 individuals if they wear glasses and count the total. how many individuals out of 18 would you expect to wear glasses, on average?

Answers

Answer:

4

Step-by-step explanation: 18x.23 = 4.14

Answer:

4

Step-by-step explanation:

What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3

Answers

No it’s D because it is rise over run and you rise 3 and run 1. 3/1 is simplified to 3.
Other Questions
Fortune Enterprises is an all-equity firm that is considering issuing $13.5 million of perpetual debt. The interest rate is 10%. The firm will use the proceeds of the bond sale to repurchase equity. Fortune distributes all earnings available to stockholders immediately as dividends. The firm will generate $3 million of earnings before interest and taxes (EBIT) every year into perpetuity. Fortune is subject to a corporate tax rate of 40%. Suppose the personal tax rate on interest income is 55%, and the personal tax rate on equity income is 20%. What is the annual after-tax cash flow to debt holders under each plan in Q7? A. Debt holders get $0 mil. under the unlevered plan vs. 1.2 mil. under the levered plan B. Debt holders get $1.2 mil. under the unlevered plan vs. 0.66 mil. under the levered plan C. Debt holders get $0 mil. under the unlevered plan vs. 0.66 mil. under the levered plan D. 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Unlike conventional municipal bonds, the lease payments are not binding obligations on the county and, therefore, require no voter approval. Required Do you think the actions of the politicians and the bankers in this situation are ethical? In terms of risk, how do the tax-exempt securities used to pay for the building compared to a conventional municipal bond issued by Traverse County? una pelota se mueve con movimiento uniforme con una velocidad de 0,25 km/seg calcular la distancia que recorre si tarda en llegar en 5 segundos How do you write in decimals eight and three tenths Why do authors of magical realism often use a serious tone intheir stories?A. It helps develop the validity of the author's work.O B. It makes readers question the author's purpose.C. It creates a greater distinction between what is realand what is magical.D. It makes the magical details sound more real andordinarySUBMIT The price of a vase was increased by 10% to 22. What was the price before the increase? 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The following per unit cost information is available: direct materials $34, direct labor $27, variable manufacturing overhead $15, fixed manufacturing overhead $43, variable selling and administrative expenses $20, and fixed selling and administrative expenses $28. Its desired ROI per unit is $31. Compute the markup percentage using absorption-cost pricing. (Round answer to 2 decimal places, e.g. 10.50%.)" Construct the confidence interval for the population mean mu. c = 0.90, x = 16.9, s = 9.0, and n = 45. A 90% confidence interval for mu is:______.