Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.

Answers

Answer 1

Answer:

[tex]c = 11[/tex]

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

[tex]a = b= 5[/tex]

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: [tex]a = b= 5[/tex]

[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]

Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]

[tex]0 < c < 10[/tex]

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

[tex]c = 11[/tex], since no options are given


Related Questions

HELP I don’t understand

Answers

Answer:

144, 36

Step-by-step explanation:

you know that if you add the two angles it will equal 180 degrees. so add the two angles and make them equal to 180 and solve for x.

(4x+8) + (x+2)=180

5x+10=180

5x=180-10

5x=170

x=34

now replace x in each equation:

4(34)+8=144

34+2=36

Find the area of the smaller sector.
brainlest

Answers

Answer:

44.68 m²

Step-by-step explanation:

Area of a sector = θ/360*πr²

Where,

θ = 80°

r = 8 m

Plug in the values into the equation

Area of the sector = 80/360*π*8²

= 44.6804288 ≈ 44.68 m² (nearest hundredth)

You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7

Answers

Answer:

7/3

Step-by-step explanation:

Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3

Hope I helped!

Brainliest? :o

Keywords: donuts, donut, brother, equation, receive

It’s 7/4 because it’s You AND your 3 brothers

What is the solution to the equation 2(x + 3)2 = 98?

Answers

Answer: if you're solving by x it would be x=43/2

Step-by-step explanation:

Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5

Answers

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

"hypotenuse" of the triangle: if the height is 24 feet and base is 36 feet.

Answers

Answer:

43.27

Step-by-step explanation:

(24×24)+(36×36)= 1872

√1872=43.27

Using the Pythagorean theorem:

Hypotenuse = sqrt( 24^2 + 36^2)

Hypotenuse = sqrt(576 + 1296)

Hypotenuse = sqrt(1872)

Hypotenuse = 2sqtt(469) or 43.266

Two people start biking from the same point. One heads east at 13 ​mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 ​minutes? What is the rate at which the distance between the two people is changing after 25 ​minutes?

Answers

Answer:

[tex]22.21\ \text{mph}[/tex]

[tex]22.2\ \text{mph}[/tex]

Step-by-step explanation:

[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]

[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]

[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing

At 25 minutes

[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]

[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]

[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].

At 35 minutes

[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]

[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]

[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].

HELPPP ASAP!!!

How many cubes are in this set?

Answers

Answer:

7

Step-by-step explanation:

7 because it's not asking for squares it asking for cubes

write 20.5×10^-5 in standard form. please help​

Answers

Answer:

the answer is 2.05×10^-4

how do i solve this?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x = 110

Explanation:

We can see that both the sides are equal because of the lines on the sides of the triangle. That means that the angle on the other side is also 35, we also know that the total amount of degrees in a triangle is 180

So now we can do this equation:

35 + 35 + x = 180

70 + x = 180

x = 110

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Step-by-step explanation:

[tex]180 - (35 \times 2) = \\ = 180 - 70 = \\ = 110[/tex]

The sum of internal angles of a triangle is 180 and we have a triangle with 2 lengths that are the same. We can say that also the other angle is 35,so the result is 110

When born, a baby weighed 8.5 pounds and gained 1.6 pounds per week for the first 10
weeks. Which of the following functions accurately models the number of pounds, p, the
baby weighs as function of the number of weeks, w, since it was born?

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

if the baby weighted 8.5 pounds when born then that is the initial value therefore the baby will be weighted 1.6 times 10 weeks or w

hope this helps

I’ll give you brainleist please just help fast

Answers

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

HELP ASAP!!? HELP ME PLEASE!! 10 POINTS

Answers

Answer:

D)  3x²y

Step-by-step explanation:

Can y’all help with geo?

Answers

Here's the solution,

figure 1.

by using trigonometry,

=》

[tex] \sin(60) = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{1}{10} [/tex]

=》

[tex]y = 10[/tex]

And,

=》

[tex] \cos(60) = \dfrac{w}{y} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{w}{10} [/tex]

=》

[tex]w = 5[/tex]

So, values are :

y = 10w = 5

figure 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》

[tex] {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} [/tex]

=》

[tex] {w}^{2} + {w}^{2} = 98[/tex]

=》

[tex]2 {w}^{2} = 98[/tex]

=》

[tex] {w}^{2} = 49[/tex]

=》

[tex]w = \sqrt{49} [/tex]

=》

[tex]w = 7[/tex]

and we know, w = y, so their values will be equal to 7 units.

Two teams are playing in the finals for an adult softball league. Each team has 13 players and the ages of the team members are shown in the tables. Which statement is true?
A) The mean for team 1 is greater than the mean for team 2.
B) The median for team 1 is greater than the median for team 2.
C) The median for team 2 is greater than the median for team 1.
D) The value of Q1 for team 1 is greater than the value of Q1 for team 2.

Answers

Don't you hate the people with the website. The answer is c

Answer:

B

Step-by-step explanation:

a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour

Answers

Answer:

4 miles

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

18 miles 3 hours = 6 miles/hour

6 x (3/4) = 4.5 miles

Write a linear function f with f(2)=-2 and f(1)=1

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

x   y

0  4

1    1

2  -2

Going down 3 for every increase of x by 1, when x = 0, y = 4

At the beginning of school you set-up a 4 digit pin to get into your My Payments Plus
account, however you have not used your account since you set it up and forgot the
number. You remember that the first number was a 4 and the second number was
either a 5, 6, or 7. You had no idea what the last two numbers were.

How many
different combinations are possible?

900 combinations
200 combinations
300 combinations
1200 combinations

Answers

Answer:

Step-by-step explanation:

The first number is one choice: 1

the second number is one of 3: 3

The last 2 digits can each be any one of the 10 digits from 0 to 9: 10 * 10

3*100 = 300

Not too many, but it will take you awhile to run through them.

I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.

Answers

Answer:

area: 1070

perimeter: 434 units

Step-by-step explanation:

area:

- use pythagoream theorem to find the height, which is gonna be 84

- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)

- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)

perimeter:

just add all the lengths given together.

What is the factored form of the polynomial 3x-3y

Answers

Answer:

Step-by-step explanation:

3x - 3y = 3(x-y)

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

21

Step-by-step explanation:

21 because if you put 21 for x, 21+6= 27, and 27 divided by 3 is 9. Ur welcome

1. Find the surface area of a geometric box, whose length, breadth and height are respectively
18 cm, 8 cm and 1.8 cm.​

Answers

Answer:

259.2

Step-by-step explanation:

multiply 18 x 8 x 1.8 to get 259.2cm

Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?

Answers

i don’t understand why people are sending files for answers

Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36

Answers

Answer:

D

Step-by-step explanation:

During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%

Answers

The students Grade increased by 20% because 10% of 80 is 8 and is you take 20% it’s double of 10% so it’s going to be a 16 point increase

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

Answers

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

ILL GIVE BRAINLIEST PLEASE HELP ASAP

Answers

Answer:

4.4

Step-by-step explanation:

(-7/10 + 0.15) ÷ (-0.125)

(-70/100 + 15/100) ÷ (-0.125)

-55/100/-0.125

-.55/-0.125

4.4

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

Answers

Answer:

the mean is $80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Mean of Phone Bills =

[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]

Identify the transformation from figure A to figure B in the image below.
glide reflection
reflection
translation
dilation

Answers

Answer:

Reflection

Step-by-step explanation:

Here, we want to get the transformation that yielded figure B from figure A

Looking at the plot, we can see that we have the origin as the center of transformation

The kind of transformation however is reflection

The shape A was reflected about the origin or the point (0,0) to give shape B

Answer:

glide reflection

Step-by-step explanation:

got it right on a quiz

Plz help its due by 1

Answers

11.5

Step-by-step explanation:

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