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Answer: No, it is not possible to form a triangle with these side lengths.

The sketch is provided below

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Explanation:

The triangle inequality theorem says that the sum of any two sides must be larger than the third side.

But notice that 5+6 = 11 which is not larger than 12.

I recommend cutting out slips of paper that are 5 inches, 6 inches and 12 inches long. You can also use software to get the job done, which is what I did. You should see that it is impossible to form a triangle. If you place the 5 inch and 6 inch slips on either end of the 12 inch portion, then you should see the we effectively have an open-ended "triangle". I'm putting it in quotes because we don't have a triangle forming, but instead what looks to be an incomplete version of it.

The sketch of what I'm referring to is shown below. I used Geogebra to make the drawing. Imagine the red and blue segments able to swing freely while the green horizontal segment stays completely still. No matter how the red and blue segments rotate, they will never meet up to form a triangle.

The dashed circles show the range of motion that is possible for each swinging red and blue segment. If the red and blue segments lay perfectly on top of the green segment, they add to 5+6 = 11, which comes up short of the 12 inch segment.

No, it is not possible to draw a triangle with sides measuring 5ft, 6ft, and 12ft.

The polygon known as a triangle has three sides and three vertices.

The triangle's total angle is 180 degrees.

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The reason is that according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

However, in this case, 5ft + 6ft = 11ft, which is less than the length of the third side, 12ft.

Therefore, a triangle cannot be formed with these side lengths.

To demonstrate why it isn't possible, you can draw a line segment of length 12ft and label it as the third side of the triangle.

Then, try to draw the other two sides (5ft and 6ft) originating from the same endpoint as the 12ft side.

You will notice that the two sides will never meet to form a triangle, since they are too short to bridge the gap between the two endpoints of the 12ft side.

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Answer:

2

Step-by-step explanation:

substitute x by the value in the function, here its f(2) so

3(2)^2 - 6(2)+2

= 12 - 14 = 2

Answer:

Let's define the variables :

Q = number of quarters that Victor has

P = number of pennies that victor has

D = number of dimes that victor has.

We know that:

"He has three times fewer pennies than dimes"

P = D*3

"he has 4 fewer quarters than pennies."

Q = P - 4

And we know that in total, he has $4.60, then:

Q*$0.25 + P*$0.10 + D*0.05 = $4.60

Then we have a system of equations:

P = D/3

Q = P - 4

Q*$0.25 + P*$0.01 + D*0.10 = $4.60

To solve this, we need to replace variables in order to eliminate them.

We can start by replacing the first equation into the other two:

Q = D/3 - 4

Q*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60

Now we can replace the top equation into the bottom one:

(D/3 - 4)*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60

And now solve this for D:

D*($0.25/3 + $0.01/3 + $0.10) -$1  = $4.60

D*$0.1866... = $4.60 + $1.00 = $5.60

D = $5.60/$0.1866... = 30

Then he has 30 dimes.

P = D/3 = 30/3 = 10 pennies

Q = P - 4 = 10 - 4 = 6 quarters.

In total he has 30 + 10 + 6 = 46 coins.

Answer:

0.7

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

e2020

Answer:

B. 46°

Step-by-step explanation:

[tex] \underline{ \bf{LAWS \: OF \: REFLECTION}}[/tex]

[tex] \boxed{\bf{\angle i = \angle r}} [/tex]

Here, if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°.

We know that according to the law of reflection, the angle of incidence and the angle of reflection are equal whenever a light ray reflects off a surface.

Here the angle of incidence of an incoming ray of light hitting a mirror = 46°

Using the law of reflection, we can conclude that the angle of reflection = 46°

Therefore if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°. So, option B is correct.

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Answer:

8/9⋅(−5/8)⋅7/4

Step-by-step explanation:

Answer:

14 1/2

Step-by-step explanation:

7 1/4 is the whole, to find how many 1/2 cups would fill it, you do 7 1/4 divided 1/2

Answer:

C. -3/4

Step-by-step explanation:

The Slope is always rise over run or

rise

___

run

so with X you rise up 3 and Y, you run down 4 so the slope is C.

-3/4

Answer:40%

Step-by-step explanation:

Answer:

[tex]3x^{3}+3x^{2}-11x+3[/tex]

Step-by-step explanation:

f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]

To make this equation a little less long, we combine like terms

[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]

or just

[tex]3x^{3}+3x^{2}-11x+3[/tex]

Answer:

The answer is -5.01

Answer: my friend I gotchu

Step-by-step explanation:

-5 would convert into -5.

1/100 = 0.01

so together it would be

-5.01

Answer:

[tex] \boxed{ n =- 8}[/tex]

Step-by-step explanation:

[tex]-5n - 2 =38 \\- 5n = 38 + 2 \\ -5n = 40 \\ n = -\frac{40}{5} \\ \boxed{ n =- 8}[/tex]

♨Rage♨

Answer:

Today: Friday, 06 November 2020

Hour: 09.42 WIB (Indonesia)

_______________________________

-5n - 2 = 38

-5n = 38 + 2

-5n = 40

n = 40/-5

n = -8

Answer:

see attached

Step-by-step explanation:

Solved in attachment

Answer:

The smallest integer is -4.

Step-by-step explanation:

4(n + n+2) = 3*n - 12                          Combine the left

4(2n + 2) = 3n- 12                              Remove the brackets

8n + 8 = 3n - 12                                 Subtract 3n from both sides

8n-3n + 8 = 3n-3n - 12                      Combine

5n + 8 = - 12                                      Subtract 8 from both sides

5n = - 12 - 8

5n = - 20                                           Divide by 5

5n/5 = -20/5    

n = - 4

n + 1 = -3

n + 2 = - 2

Answer:

35/24

Step-by-step explanation:

8 1/3= 25/3  5 5/7= 40/7

(25/3) divided by (40/7) is equal to (25/3) x (7/40) using Keep Change Flip (KCF) where you keep the initial value, switch the sign from dividing to multiplying, and then flip the other value. Then, multiply across to get 175/120 which simplifies to 35/24.

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[tex] \frac{ {3}^{4} \times {v}^{2 \times 4} }{ {w}^{4 \times 4} } = \frac{81 {v}^{8} }{ {w}^{16} } \\ [/tex]

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Answer:

n=6

Step-by-step explanation:

4n + 1= 25

Move constant to the right

4n=25-1

Calculate

4n=25-1

Then divide on both sides

Answer:

Today: Friday, 06 November 2020

Hour: 09.44 WIB (Indonesia)

_______________________________

4n + 1 = 25

4n = 25 - 1

4n = 24

n = 24/4

n = 6

Answer:

197.28 meters in 6 minutes

Step-by-step explanation:

13.7 seconds ÷ 25 meters = 0.548 meters in 1 second

6 minutes = 360 seconds (6 minutes x 60 seconds in every minute = 360 seconds)

0.548 meters in 1 second x 360 seconds = 197.28 meters in 6 minutes

Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

Question:

Mr. & Mrs. Martin drove 200 miles in September. They drove 2 times as many miles in November as they did in September. They drove 2 times as many miles in October as they did in November. How many miles did Mr. & Mrs. Martin drive in October?

Answer:

200 miles x 2 = 400 miles in September  400 x 2 = 800 in october

Answer:

D. 2x² + 10x - 2

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = x² + 3x - 2

Width = 2x + 1

Perimeter = 2(x² + 3x - 2 + 2x + 1)

Perimeter = 2(x² + 5x - 1)

Perimeter = 2(x²) + 2(5x) - 2(1)

Perimeter = 2x² + 10x - 2

Answer:

Step-by-step explanation:

A

Answer:

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

2) y = -4/3x + 2

3) y = 4/3x + 2

4) y = -3/4x - 3/2

Step-by-step explanation:

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = − 5Y/4 − 15/2

Answer:

The correct answer choice is letter C.

The graph C represents the equation  [tex]y = -\frac{3}{2}x - 2[/tex] , option C is correct.

The equation [tex]y = -\frac{3}{2}x - 2[/tex] represents a linear equation in slope-intercept form, where the coefficient of x is [tex]\frac{-3}{2}[/tex]and the y-intercept is -2.

Based on this equation, we can determine the characteristics of the graph:

The slope of [tex]-\frac{3}{2}[/tex] indicates that the graph has a negative slope, meaning it is a line that slopes downward as you move from left to right.

The y-intercept of -2 indicates that the line intersects the y-axis at the point (0, -2).

The graph in C represents all these characteristics.

Hence, the graph C represents the equation  [tex]y =- \frac{3}{2}x - 2[/tex]

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the answer is consolidation loan

Answer:

A. consolidation loan

Step-by-step explanation:PLATO

Answer:9 ft

Step-by-step explanation:

The requried measure of the AB is given as 7ft. Option B is correct.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9

Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft

Thus, the requried measure of the AB is given as 7ft. Option B is correct.

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Answer:

the answer is D. Miles walked and calories burned are in a proportional relationship