Manuel y Carlos encuentran un libro de matemática usado y en una de las hojas se observa la figura de un poliedro demasiado borrosa, pero se ven algunos datos sobre él que dicen: El poliedro tiene 12 aristas y la suma de su número de caras con su número de vértices es 14. Manuel afirma que se trata de un dodecaedro y Carlos dice que es un cubo. ¿Quién de ellos tiene la razón?

Answer:

Perimeter of ∆ABR = [tex] 12 + 2\sqrt{61} [/tex]

Step-by-step explanation:

Given, A(-2, -1), B(10, -1), and R(4, 4).

Perimeter of ∆ABR = [tex] \overline{AB} + \overline{BR} + \overline{AR} [/tex]

Distance between A(-2, -1) and B(10, -1) using distance formula:

[tex] \overline{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(10 -(-2))^2 + (-1 -(-1))^2} [/tex]

[tex] \overline{AB} = \sqrt{(12)^2 + (0)^2} [/tex]

[tex] \overline{AB} = \sqrt{(144 + 0)} [/tex]

[tex] \overline{AB} = \sqrt{144} = 12 [/tex]

Distance between B(10, -1) and R(4, 4):

[tex] \overline{BR} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(4 - 10)^2 + (4 -(-1))^2} [/tex]

[tex] \overline{BR} = \sqrt{(-6)^2 + (5)^2} [/tex]

[tex] \overline{BR} = \sqrt{(36 + 25)} [/tex]

[tex] \overline{BR} = \sqrt{61} [/tex]

Distance between A(-2, -1) and R(4, 4):

[tex] \overline{AR} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(4 -(-2))^2 + (4 -(-1))^2} [/tex]

[tex] \overline{AR} = \sqrt{(6)^2 + (5)^2} [/tex]

[tex] \overline{AR} = \sqrt{(36 + 25)} [/tex]

[tex] \overline{AR} = \sqrt{61} [/tex]

Perimeter of ∆ABR = [tex] \overline{AB} + \overline{BR} + \overline{AR} [/tex]

Perimeter of ∆ABR = [tex] 12 + \sqrt{61} + \sqrt{61} [/tex]

Perimeter of ∆ABR = [tex] 12 + 2\sqrt{61} [/tex]

Answer:

Cual es el valor de F (2) translates to "What is the value of F (2)"

Hope this helped.

Answer:

Step-Cual es el valor de F (2)

by-step explanation:

Answer:

10

Step-by-step explanation:

(12 + 8)  ÷ 2

It’s okay if you are bad at math

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

10 is the answer!

Step-by-step explanation:

Hope this helps!!

The answer is obviously D.

Answer:

$216.50

Step-by-step explanation:

Set up a proportion

5/21.65= 50/x

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                  7x = 180 - 19

                                  7x = 161               {Divide both sides by 7}

                                    x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

Answer: 8. 3^4+n^4, 9. 7^3+m^4, and 10. s+2t^3.

Step-by-step explanation:

Answer:

8. 4n + 12

9. 6m + 28

10. 3s + 6t

Step-by-step explanation:

8. As can be seen in the image, there are four sides that are n long and four sides that are 3 long. This can represented like this:

4n + 3(4)

Simplify the expression:

4n + 12

9. In this figure, there are 3sides with the length 7 and 4 sides with the length m. However, the length of the top of the figure seems to be unknown. Its length is the same as the length of the bottom half of the figure, which is 2m and one 7. So, add two more m and one more 7 to our expression. Now our expression looks like this:

6m + 7(4)

Simplify:

6m + 28

10.There are 3 sides with length s + 2t. This can be represented like this:

3(s + 2t)

Multiply the 3 by both terms in the parentheses:

3 * s = 3s

3 * 2t = 6t

The simplified expression is:

3s + 6t

Hope this helps :)

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

3(6d−24)=6(12+3d)

Step 1: Simplify both sides of the equation.

3(6d−24)=6(12+3d)

(3)(6d)+(3)(−24)=(6)(12)+(6)(3d)(Distribute)

18d+−72=72+18d

18d−72=18d+72

Step 2: Subtract 18d from both sides.

18d−72−18d=18d+72−18d

−72=72

Step 3: Add 72 to both sides.

−72+72=72+72

0=144

Answer:

There are no solutions.

Explanation:

We have three numbers that aren't even, and they are {1,3,5}

There are three numbers that are even, and they are {2,4,6}

The odds in favor of not getting an even number is 3:3 = 1:1

To list the odds in favor, you write the number of ways to get what you want, followed by a colon, then the number of ways to get what you don't want. In this case, both counts are 3. The ratio 3:3 reduces to 1:1 after dividing both parts by 3.

Answer:

1:1

Step-by-step explanation:

how many odd sections are even: 3

how many sections are not even: 3

the odds are 3 : 3= 1:1

odds are what you expect to come out versus what you don't expect(favorable to un favorable).

confusion comes in when talking about probability

probability is what you want to come out versus the total chances whether odd or even(favorable to total outcomes). eg

in this example

the probability of it not landing on the even number is:

number of odd sections=         3     =   1:2

number of total outcomes=     6

Answer:

football

Step-by-step explanation:

also known as soccer

Answer:

340 more fans

Step-by-step explanation:

550 - 210 = 340

p.s. There shouldn’t be anyone at a basketball game anyway.

Answer:

1. the vertex form of your function is f(x)= (x+-2)^2+-7

The vertex is at (2,-7)

2. So, the vertex form of your function is f(x)= (x+-7/2)^2 -41/4

The vertex is at (7/2, -41/4)

Step-by-step explanation:

Answer:

Y = -1/2x - 2

Step-by-step explanation:

Answer:

30 X .8=24 30-24=6 bill got 6 questions wrong

Answer:

The first option is correct.

Answer:

y = 2x+ 4

Step-by-step explanation:

The slope of your line given is 2 and it's y-int is 2 that makes the equation y=2x+2.

Since you want a parrallel line you want the smae slope but with a different y intercept. So the answers is y =2x +4.

Answer:

1/8

Step-by-step explanation:

The slope equation for this problem is

y2-y1

--------

x2-x1

So the y2=4, y1=3, x2=8, and x1=0

4-3      =1

-----       --

8-0     =8

Which is 1/8

Answer: 1/8

Step-by-step explanation:

Use the slope formula and slope-intercept form

y = mx + b to find the equation.

y = 1/8x + 3

Count from the origin to the center of the parabola. You will notice that there are 4 units.

So, the axis of symmetry is the line x = 4. The equation x = 4 cuts the parabola exactly in half.

Answer:

it's 4 1/3

Step-by-step explanation:

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Answer:

Line one is the answer

As you see the first line is steeper

Answer:

Line one

Step-by-step explanation:

In order to find the answer to this question simply plot the points on a graph and compare the lines to see which is steeper.

When you plot the points you will see that lines one slope is lower and goes steeper then line two, which means it's your answer.

Hope this helps.

Answer:

3) x = 21.33

4) x = 33

5) x = 11

Step-by-step explanation:

3: (3x + 17) + (x + 40) + (2x - 5) = 180

6x + 52 = 180

6x = 128

x = 21.333...

4: 180 / 3 = 60

3x - 39 = 60

3x = 99

x = 33

5: 90 + (6x + 7) + (2x - 5) = 180

8x + 2 = 90

8x = 88

x = 11

Answer:

(-2,-3)

Step-by-step explanation:

this is because when any point is flipped over y=-x, it makes both y and x negative.

hope this helps :)

Answer:

7.07107cm

Step-by-step explanation:

d= [tex]\sqrt{2} a =\sqrt{2} (5) = 7.07107[/tex]

Answer:

I love and want to see you in your underwear

Step-by-step explanation:

Answer:

No who is ocean?

Answer:

Step-by-step explanation:

Step one:

we are told that the expression for profit is

[tex]p = 1.25n - 475[/tex]-----------------1

the above equation represents the situation

given

profit is  $950

Required

n=number of bars

950=1.25n-475

collect like terms

950-475=1.25n

475=1.25n

divide both sides by 1.25

n=475/1.25

n= 380candy bars

Half the perimeter is equal to the length plus the width.

326 /2 = 163

Length + width = 163

87 + width = 163

Width = 163 - 87

Width = 76 meters