Let ABCDEFGH be a cube.

a) How many different segments can you form by connecting the vertices of the cube?

b) How many different triangles can you form by connecting 3 of the vertices of the cube?

Answers

Answer 1

Answer:

a) 28

b) 56

Step-by-step explanation:

A cube is a three dimensional shape gotten from a square. It has 6 faces, and an equal line segment that form its sides.

A vertex is the edge of a figure.

In the given cube ABCDEFGH, since the vertices to be considered are not only the adjacent vertices, then;

a) By connecting the vertices of the cube, 28 different segments can be obtained.

b) The number of triangles that can be formed by connecting 3 of the vertices of the cube is 56.


Related Questions

The following table shows a proportional relationship between M and N.

Answers

Answer:

7m = n

Step-by-step explanation:

3 x 7 = 21

5 x 7 = 35

8 x 7 = 56

At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better buy?

Answers

Answer:

The 6 lemons for 2.50 is the better deal.

Step-by-step explanation:

2*3=6

3*0.99=2.97

2.97>2.50

Find the path of the numbers from the upper left corner to the bottom right corner. The sum of the numbers must be equal to the number at the exit arrow. You are allowed to move either down or to the right only.

Answers

Answer:

8, 11, 19, 1, 6, 18, 3

Step-by-step explanation:

8+11+19+1+6+18+3=66

What is the midpoint of the segment below?

(3,5)

(-6,-6)

A. (-1.5, -0.5)

B. (0,0)

C. (1.5, 0.5)

D. (0.5, -0.5)

Answers

Answer:

The answer is option A.

( - 1.5 , - 0.5)

Step-by-step explanation:

Midpoint of a line is given by

[tex] (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

Where ( x1 , y1 ) and ( x2 , y2) are the points

Midpoint of (3 , 5) and ( - 6 , - 6) is

[tex]( \frac{3 - 6}{2} , \: \frac{5 - 6}{2} )= ( - \frac{3}{2} , \: - \frac{1}{2} )[/tex]

We have the final answer as

( - 1.5 , - 0.5)

Hope this helps you.

Answer:

A. (-1.5, -0.5)

Step-by-step explanation:

[tex](3,5), (-6,-6)\\Midpoint = [\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ]\\x_1 = 3\\y_1=5\\x_2 =-6\\y_2 = -6\\\\Midpoint = [\frac{3+(-6)}{2} , \frac{5+(-6)}{2} ]\\Midpoint = [ \frac{3-6}{2} , \frac{5-6}{2} ]\\\\Midpoint = [-\frac{3}{2} ,-1/2]\\\\Midpoint = [ -1.5 , -0.5][/tex]

Choose the figure that is congruent to the shape labeled with an asterisk (*).
Figure a.
Figure d.
Figure b.
Figure c.

Answers

Answer:

figure d is congruent to the figure given above.

The figure that is congruent to the shape labeled with an asterisk (*) will be figure 'd'. Then the correct option is B.

What is a transformation of a shape?

Picture, after translation, refers to the object's ultimate organization and placement. From just before the refers to the material's initial condition.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The figure is the semicircle is rotated, then the orientation of the semicircle is just changed.

Then the figure that is congruent to the shape labeled with an asterisk (*) will be figure 'd'. Then the correct option is B.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ2

Identify the underlined place value.
Glven: 775
The underlined value represents
lao

Answers

Answer:

[see below]

Step-by-step explanation:

There is no underlined numbers. I will do all of them.

In the number '775':

The first 7 is in the hundreds place. It represents the value of '700'.  (775)The second 7 is in the tens place. It represents the value of '70'. (775)5 is in the ones place. It represents the value of '5'. (775)If you add all the values together, you get '775'.

700 + 70 + 5 = 775

Brainilest Appreciated.

Which expression is equivalent to ...

Answers

Answer:

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

Step-by-step explanation:

[tex]3 \sqrt{54} - 4 \sqrt{24} [/tex]

Simplify the radical expression

[tex]3 \sqrt{2 \times 3 \times 3 \times 3} - 4 \sqrt{2 \times 2 \times 2 \times 3} [/tex]

[tex]3 \times 3 \sqrt{2 \times 3} - 4 \times 2 \sqrt{2 \times 3} [/tex]

[tex]9 \sqrt{6} - 8 \sqrt{6} [/tex]

collect the like terms

[tex]9 - 8 \sqrt{6} [/tex]

[tex]1 \sqrt{6} [/tex]

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

Hope this helps...

good luck on your assignment..

I've already done the first part of the question but i have to write it so others can be able to answer my second. i'd be grateful if anyone could give a quick response! Given that €1 = £0.75 a. How much is €530 in £? b. What is the £ to € exchange rate? Hint: It can be helpful to think of it like this: if €1 = £0.75, then €100 = £75 Now work out what £1 is worth.

Answers

Answer:

£398

Step-by-step explanation:

€530 = £0.75

530 x 0.75 = £397.50

You round this of to the nearest whole number:

£398

One side of a rectangle is X+7 units long, and the other side is X+3 units long. Express the area of the rectangle as a polynomial. If the value of X is 10, what is the value of the Polynomial?

Answers

Answer:

area as a polynomial: x^2 + 10x +21

If the value is 10:  221 units square

Step-by-step explanation:

to solve for the polynomial just do (x+7)(x+3) use the box method if your unfamiliar with this

to solve for the value just plug it in the polynomial you got from the previous answer

hope this helps

Jessa bought her home for $125,000 in 2010. Property values have increased 15% every year since she has owned the home. Which of the following equations can be used to represent the price of the home x years after 2010?

Answers

Answer:

y= 125,000 (1.15x)

Step-by-step explanation:

Answer: y = 125000(1.15)^x

Step-by-step explanation:

The formula we use is y = p(1 + r)^x p is price and r is rate

the initial price is $125000 and the rate is 15%, or 0.15.

y = 125000(1 + 0.15)^x

y = 125000(1.15)^x

             

What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

Answers

Answer:

a(n) = 1(2.5)^(n - 1)

Step-by-step explanation:

The geometric sequence is 1, 2.5, 6.25, 15.625, and so on; the first term is 1.  The common ratio is 2.5; each new term is 2.5 times the previous term.

The explicit formula desired is thus a(n) = 1(2.5)^(n - 1)

Answer:

ITS CCCCCCC (2.5)

A very simple question for trigonometry! So lets say I want to use a formula for example csc = 1/sin a. Would that still apply if instead of sin a it is - sin a? If not, can I still use this formula is sin a is negative? Thanks!

Answers

Answer:

Step-by-step explanation:

csc = 1/sin a would be OK if you'd insert the argument 'a:'

csc a = 1/sin a    is an identity (a relationship that is always true).  

If you write csc a = 1 / (-sin a) you are creating a conditional equation which may be true for some values of a but not for all.

Find the the perimeter of the shape with verticales (2,3) (5,3) and (5,7)

Answers

Answer:

12 units

Step-by-step explanation:

from (2, 3) to (5, 3) = 3

from (5, 3) to (5, 7) = 4

from (2, 3) to (5, 7) = √3²+4² = 5

3 + 4 + 5 = 12

Please help with the questions on the picture, it's very urgent......Thank you✨​

Answers

Answer:

2. sinθ= cos 35°

sinθ= sin(90°-35)

θ= 55°

3. cos4θ= sin5θ

cos 4θ= cos (90-5θ)

4θ=90°-5θ

collect like terms

4θ+5θ=90°

9θ=90° (divide both sides by 9)

therefore θ=10°

Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?

Answers

Answer:

12

trust me it works i just took the test.

1. Find the value of x in the figure below.

Answers

Answer:

see details and attached figure below.

Step-by-step explanation:

Going row by row

1. 12  (isosceles triangles have equal legs from the vertex)

2. 55 deg. (isosceles triangles have equal base angles)

3. 90 = 180-45-45 (isosceles triangles have equal base angles)

4. 2x-8 = 10

=> x = 18/2 = 9 (isosceles triangles have equal legs from the vertex)

5. sum of angles of triangle = 180

3x+3x+2x+4 = 180 => 8x = 176, x = 22, angle A = 3x = 66 deg.

6. sum of angles of triangle = 180

(isosceles triangles have equal base angles)

25+25+angle Z = 180 => angle Z = 180-25-25 = 130

Your answer would be 130

Which statement could be an interpretation of the graph’s x-intercept or y-intercept? On a coordinate plane, a line goes through points (0, 4) and (8, 0). Tabitha took 6 hours to drive to her friend’s house. Matthew used 12 gallons of gas in all. Rosa will pay off her loan in the eighth month. Eight members of Hoi's family were each charged $4 to go to a movie.

Answers

Answer:

Eight members of Hoi's family were each charged $4 to go to a movie.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

help me plz i want help

Answers

Answer:

the one on the upper left with the triangular form

Step-by-step explanation:

all the others only represent one of the possibilities

Find the area under the standard normal curve to the left of z = 1.5

Answers

Answer:

0.9332

Step-by-step explanation:

Answer:

The answer is 0.9332 .

How do I figure of the 7/3 I'm not sure how to add a fraction with a different denomination

Answers

Step-by-step explanation:

Hi there!!

Here, the thing is we should add them first yaa.

so, let's add them

[tex] = - 2 \frac{1}{6} + \frac{7}{3} [/tex]

by taking lcm we get their lcm is 6 and let's do it according to that,

[tex] = \frac{ - 12 \times 1}{6} + \frac{7 \times 2}{6} [/tex]

now, let's simplify them ok..

[tex] = \frac{ - 12 + 14}{6} [/tex]

so, we get 2/6 (i.e 1/3)

now, the number line must be greator than 1 and less than 1.

Hope it helps...

Basically How many times does 3 go into 7. 7/3 = 2 1/3. The way that you make the denominators the same is by finding the lowest common denominator which is 6. You multiply the denominator so that it is the same as the other denominator. Which would be 3 times 2 then since you multiply the denominator by to you multiply the numerator by 2. So you will have -2 1/6 and 2 2/6

nth term of this sequence please 18, 16, 14, 12

Answers

Answer:

[tex]\boxed{\sf -2n+20}[/tex]

Step-by-step explanation:

Let’s find the common difference.

The common difference can be found by subtracting a term in the sequence with the previous term.

[tex]\sf d=16-18\\d=-2[/tex]

Apply formula for the [tex]\sf n^{th}[/tex] term of an arithmetic sequence.

[tex]\sf a_n=a_1+dn-d[/tex]

[tex]\sf a_1[/tex] is the first term of the sequence.

[tex]\sf d[/tex] is the common difference.

[tex]\sf a_n=18+-2n-(-2)[/tex]

[tex]\sf a_n=18+-2n+2[/tex]

[tex]\sf a_n=-2n+20[/tex]

simplify the expression
[tex]10.8 + - 7.6 + 10.2h + 9.2[/tex]

Answers

You need to combine like terms. The like terms in this equation are 10.8, -7.6, and 9.2. 10.8-7.6+9.2 = 12.4. 10.2h can’t be combined with anything else. So the final answer is:

12.4 + 10.2h
9.6+10.2h is the correct answer

10.8 + -7.6 + 10.2h+9.2

Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best dea 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?). And this one too Graph the system of equations. (Show your x/y tables) **Use a ruler or your answer will not come out correctly** or Slope- intercept simulation copy and paste And this one too What is the point of intersection on your graph? What does this mean? And this one tooo Which restaurant would you go to? Why?

Answers

Answer:

(golden corral) 11 + 1x = y.  Western Sizzlin 9 +2x= y. These equations will be linear because these equations have the structure of y=mx+b, also when these equations are plotted on the graph they point upward. (I can't show a table, but I provided a pic of the graph so u can plot the points). The point of intersection is 2,13. The point of intersection means when the prices for both restaurants are equal to each other I would go to golden corral because if I have a lot of drinks it would be cheaper in the long run.

Step-by-step explanation:

Use desmos for problems like this it will save your life.

Find the odds for and the odds against the event rolling a fair die and getting a 4, a 2, or a 1.

Answers

Answer: Both in favor and against: 3/6 OR 1/2 OR 50%.

Step-by-step explanation: Both in favor and against: 3/6 OR 1/2 OR 50%.

The probability of rolling one die and getting any digit is [tex]\frac{1}{6}[/tex]. That is because the desired outcome is only 1 digit out of the 6 total digits on each of the six sides.

That means the probability of rolling either a 1, a 2, or a 4 if you are looking for any of those numbers specifically, is [tex]\frac{1}{6}[/tex]. But! You are looking to roll a 1, a 2, or a 4, without any preference among those three. Therefore, you are going to add the desired outcomes.

[tex]\frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}[/tex] = 0.5 = 50%

Above, are added the probability of rolling a 1 PLUS the probability of rolling a 2 PLUS the probability of rolling a 4, yielding a 50% probability.

Think about it. There are six total digits on a die. You are okay with rolling three of those. Three is half of six. Therefore, the probability of rolling the number you'd like is one-half, fifty-percent.

Likewise, since the probability of all complement events happening is 1 (or 100%), The odds against rolling either 1, 2, or 4 is also fifty-percent. 100% (which is rolling any number on a die) MINUS 50% (which is rolling a 1, a 2, or a 4 with no preference) EQUALS TO 50% (which is rolling a 3, a 5, or a 6).

Which statement is true about the equation 4.5z = 4.5z – 4.25 + 6.25? (1 point) It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.

Answers

No solution

It’s no solution because if you would’ve subtracted 4.5z on both sides then the equation would’ve become:
0= -4.25+6.25
Which makes it a no solution since you can’t really solve the equation.

Answer:

nun

Step-by-step explanation:

⚠️PLEASE ANSWER!⚠️

Which equation can be used to solve for b?

Answers

Answer:

b = (8)tan(30)

Step-by-step explanation:

Use mnuemonic device SOHCAHTOA

the equation that can be used to solve for b is B=(8) tan(30)

Reflect the given preimage over y=−1 followed by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

Answers

Answer:

Reflecting over y = -1 line:

A'(8, -10)

B'(10, -8)

C'(2, -4)

Reflecting over y = -7 line:

A''(8, -4)

B'(10, -6)

C''(2, -10)

Step-by-step explanation:

Reflect the given preimage over y=−1 followed

by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

The coordinates of the preimage are:

A(8,8)

B(10,6)

C(2,2)

Answer: Reflecting over y = -1:

If a point is reflected over a y line, the x values remain the same while the y values change.

For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)

The new coordinate is at A'(8, -10)

For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)

The new coordinate is at B'(10, -8)

For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)

The new coordinate is at C'(2, -4)

Reflecting over y = -7 line:

For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)

The new coordinate is at A''(8, -4)

For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)

The new coordinate is at B'(10, -6)

For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)

The new coordinate is at C''(2, -10)

We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h  units down. So 2(−6) is a translation of −12 units down.

Plz help me 2x+y=4 4x+2y=8

Answers

Answer: Y= 2 X=1

Step-by-step explanation:

2x+y=4                  4x+2y=8

2x     =/2                     2y= /2

y=2                          4x=4

                               /4= /4

                               X= 1

2x+y=4 4x+2y=8

ANSWER: ( x , y )= ( 2 , 0 )

If the rectangle below has an area of 32 sq. units, what is the area of the triangle?

Answers

Answer:

B. 16 sq. units

Step-by-step explanation:

If you divide the rectangle, you will get 2 triangles. Therefore you will divide your answer from the rectangle by two.

Step-by-step explanation:

here, on this as the measure of triangle is alredy given separately we don'tneed its area. We just can use formula of area of triangle and simpfy it to get answer.

the measures of perpendicular (p)= 8

and base (b)=4

now, area of triangle (a)=1/2×b×p

or, a = 1/2 ×4×8

by simplifying it we get 16 sq.units.

hope it helps...

What is the answer of 4(b+3) when b is 6?

Answers

Answer:

36

Step-by-step explanation:

Well first if b is 6 we plug that into the following.

4(b+3)

To,

4(6+3)

6+3 is 9 and 9*4 is 36.

Answer:

36

Step-by-step explanation:

4(6+3)

4(9)

36

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