A cube has eight vertices (corners) and twelve edges. A segment, such as x, which joins two vertices not joined by an edge is called a diagonal. Segment y is also a diagonal. How many diagonals does a cube have?
a. 6
b. 8
c. 12
d. 14
e. 16

Answers

Answer 1

Answer:

On each face, there are $2$ diagonals like $x$. There are $6$ faces on a cube. Thus, there are $2\times 6 = 12$ diagonals that are "x-like".

Every "y-like" diagonal must connect the bottom of the cube to the top of the cube. Thus, for each of the $4$ bottom vertices of the cube, there is a different "y-like" diagonal. So there are $4$ "y-like" diagonals.

This gives a total of $12 + 4 = 16$ diagonals on the cube, which is answer {E}

Step-by-step explanation:

There are $8$ vertices on a cube(A, B, C, D, E, F, G, H). If you pick one vertice, it will have 7 line segments associated with it, so you will have $\frac{8\cdot7}{2} = 28$ segments within the cube. The division by $2$ is necessary because you counted both the segment from $A$ to $B$ and the segment from $B$ to $A$.

But not all $28$ of these segments are diagonals. Some are edges. There are $4$ edges on the top, $4$ edges on the bottom, and $4$ edges that connect the top to the bottom. So there are $12$ edges total, meaning that there are $28 - 12 = 16$ segments that are not edges. All of these segments are diagonals, and thus the answer is $\boxed{E}$.


Related Questions

what is this anyone know

Answers

Answer:

Solve for

x

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

x = −20

Step-by-step explanation:

branliest

Divides 2/10=/5 pleased give me an answer i need it i beg you
a

Answers

Answer:

2/10= 0.2

10/2= 5

Is this what u are looking for?

A sample should be large to encourage:

A. precision
B. bias
C. decrease accuracy
D. large standard error

Answers

Answer:

A) precision

Step-by-step explanation:

Hope this helps ! :)

What is the answer for 1 + 2(p + 10

Answers

2p + 21 is what it equals hope it helps and have a great day!

solve for y and show all work.

Answers

Answer: 29

Step-by-step explanation:

4y + 4 + 60 = 180

4y = 116

y = 29

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee solve it

Answers

Answer: 5

Step-by-step explanation:

104 is divided in two parts A and B in the ratio of 5:8. What is the value of A?

Answers

Answer:

A=40

Step-by-step explanation:

5+8=13

104/13=8

5*8=40

8*8=64

A=40

A rectangular garden has an area of 52 square yards. If we multiply its
length and width by 15, what is the area of the new rectangle?
OA) 1540 yd.?
OB) 12,270 yd.?
OC) 11,700 yd?
OD 270,000 yd?
Please answer soon!

Answers

Answer:

It is OC) 11,700 yd.

Step-by-step explanation:

when finding new area, take you 2 numbers, 52 and 15, square the 15,  then multiply them 52 x 15^2 = 11,700

Answer:

C) 11, 700 yd²

Step-by-step explanation:

Let [tex]x[/tex] = width of a rectangle

Let [tex]y[/tex] = length of a rectangle

Area of a rectangle = width x length

⇒ area = [tex]xy[/tex]

If a rectangular garden has an area of 52 yd²

⇒ [tex]xy[/tex] = 52

If the length and width are multiplied by 15:

⇒ new width = [tex]15x[/tex]

⇒ new length = [tex]15y[/tex]

⇒ area = [tex]15x \times 15y=225xy[/tex]

If xy = 52,  

new area = 225xy = 225 x 52 = 11700

Salads A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 15 of the salads sold were Caesar Sold salads, how many total salads did the restaurant sell? Caesar 60%Garden 28% Taco 12%​

Answers

Circle graphs are used to represent data in percentages and proportions

There are 25 salads in the restaurant shelf

How to determine the total salads

From the question, we have:

The number of Caesar salad = 15The percentage of Caesar salad = 60%

So, the total number of salad is:

n * 60% = 15

Divide both sides by 60%

n = 25

Hence, there are 25 salads in the restaurant shelf

Read more about circle graphs at:

https://brainly.com/question/24461724

A is the point (-2,0)
B is the point (0,4)
C is the point (5,-1)

Find an equation of the line that passes through C and is perpendicular to AB

Answers

Answer:

y = 1/2x - 3.5

Step-by-step explanation:

so lets start by finding the equation of the line AB

we know the y-intercept is 4 from the point 0,4 so we know it'll look something like this

y = mx + 4 and we can plug in the other point we know -> 0 = m(-2) + 4  -> 4 = m(-2) -> m = -2 so the full equation of the line is y = -2x + 4

ok now we can find the other line. we know that perpendicular lines have an opposire reciprocal slope so in this case -2 would turn into 1/2

y = 1/2x + b

now lets plug in point C

-1 = (1/2)(5) + b

-1 - (2.5) = b

-3.5 = b

so the equation is y = 1/2x - 3.5

Answer:

[tex]y=-\dfrac12 x + \dfrac32[/tex]

Step-by-step explanation:

Equation of line AB:

Let A = [tex](x_1,y_1)[/tex] = (-2, 0)

Let B = [tex](x_2, y_2)[/tex] = (0, 4)

Use equation of slope to find slope m:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4 -0}{0+2}=2[/tex]

Use point-slope form for linear equation:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-0=2(x+2)[/tex]

[tex]\implies y =2x+4[/tex]

Equation of line passing through C

If the line that passes through C is perpendicular to AB, then their slopes will be opposite reciprocals of each other.

⇒ [tex]m=\dfrac{-1}{2}=-\dfrac12[/tex]

Use point-slope form for linear equation and [tex](x_1,y_1)[/tex] is point C:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y+1=-\dfrac12 (x-5)[/tex]

[tex]\implies y=-\dfrac12 x + \dfrac32[/tex]

What helps us show inverse variation?

Answers

Answer:

Solving an Inverse Variation Problem

-Write the variation equation: y = k/x or k = xy.

-Substitute in for the given values and find the value of k.

-Rewrite the variation equation: y = k/x with the known value of k.

-Substitute the remaining values and find the unknown.

Step-by-step explanation:

yeah

Need maths help asap I will mark brainpower

Answers

Answer:

x = 65.38°

using cosine rule:

cos(x) = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos(x) = [tex]\frac{5}{12}[/tex]

x  = [tex]cos^{-1}(\frac{5}{12} )[/tex]

x = 65.3756°

x = 65.38°

Which expression is equivalent to -3 ( x - y )?

A. -3x + y
B. -3x - y
C. -3x - 3y
D. -3x + 3y

I already know it’s not A or B

Answers

Answer:

D. -3x+3y

Step-by-step explanation:

Start by distributing the -3 to each term in the parentheses:

-3(x)+(-3)(-y)

Here are some multiplication sign rules that will make this problem easier:

- - make a +

- + make a -

+ - make a -

+ + make a +

-3x+3y (note that since both 3 and y are negative, they make a positive)

The print shop charges $1. 10 per square foot for banners of any shape and size. What is the approximate cost of the banner before tax? $41. 95 $46. 14 $83. 90 $92. 30.

Answers

The approximate cost of the banner which is charged by print shop before tax is 92.30.

What is cost price per unit?

The cost price per unit is the amount of money required to buy one uni of a brand or goods.

To find the cost price per unit, divide the total amount of cost of the goods to the total number of goods.

The length of the sides of parallelogram banner which order by Jace is 9 feet and the length of the bottom side is 12 feet.  

The length of the diagonal is 19 ft. The parimeterof the triangle made by this sides is,

[tex]s=\dfrac{9+12+19}{2}\\s=20[/tex]

Using Heron's formula, the area of this triangle is,

[tex]A=\sqrt{20(20-9)(20-12)(20-19)}\\A=\sqrt{20\times11\times8\times1}\\A=41.95\rm ft^2[/tex]

Now the area of the banner is,

[tex]A=41.95\times2\\A=83.90\rm ft^2[/tex]

The print shop charges $1.10 per square foot for banners of any shape and size.Thus, the charge of the banner with area 108 square foot is,

[tex]P=1.10\times83.90\\P=92.29\\P\cong92.30[/tex]

Thus, the approximate cost of the banner which is charged by print shop before tax is 92.30.

Learn more about the cost price per unit here;

https://brainly.com/question/18628158

How will you use the rules of adding, subtracting, multiplying and dividing rational numbers with simplifying algebraic expressions?

Answers

Answer:

I would use addition, subtraction, multiplication, and division in terms of taxes, interest rates, my fixed salaries, and so forth. And dividing rational numbers would be like 10% of the interest rate or 11% of the interest rate. I can also simplify the algebraic expressions to make the terms easier for me in my head.

Step-by-step explanation:

I would use addition, subtraction, multiplication, and division in terms of taxes, interest rates, my fixed salaries, and so forth. And dividing rational numbers would be like 10% of the interest rate or 11% of the interest rate. I can also simplify the algebraic expressions to make the terms easier for me in my head.

Out of 720 students,120 have failed.What percentage of students failed the exam?​

Answers

Answer:

83.33%

Total no. of students = 720

No. of students who failed = 120

Therefore no. of students passed = 720 120= 600

Therefore pass percentage = 600/720* 100 = 83.33%

Step-by-step explanation:

I hope it will help you...

[tex]kai6417[/tex]

#carryonlearning

[tex]% = \frac{parts}{whole} * 100%[/tex]Answer:

Step-by-step explanation:

Hi there,

I have given the answer in the images attached below in order , please do check it out.

If you found my answer helpful please do consider marking me as brainliest as that would mean a lot to me.[tex]e[/tex]

Jamie bought a total of 20 pounds of grass seed at the nursery for $168. He paid $9 per pound for Kentucky bluegrass and $6 per pound for Tall Fescue. Which system of equations can be used to find the amount x (in pounds) of Kentucky bluegrass and the amount y (in pounds) of Tall Fescue Jamie purchased?

Determine the number of pounds of Kentucky bluegrass and the number of pounds of Tall Fescue that Jamie purchased from the problem above.

Answers

Answer:

D) x + y = 20

9x + 6y = 168

Step-by-step explanation:

x, y, is in pound, the weight

$168 is money, $9, $6

thankss for the point and i appreciate if mark my answer as brainliest <3

Answer:

x + y = 209x + 6y = 168

Step-by-step explanation:

Given:

Amount of grass seed = 20 poundsx pounds of Kentucky bluegrass for $9, it sums to 9xy pounds of Tall Fescue for $6, it sums to 6yTotal amount spent = $168

Required equations:

x + y = 209x + 6y = 168

The quartiles of any Normal distribution are about __________ standard deviations from the mean. Give your answer to 3 decimal places.

Answers

Answer:

(1) The first quartile of standard normal distribution is -0.67.

(2) The third quartile of standard normal distribution is 0.67.

(3) The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.74%.

Explanation:

A standard normal distribution has mean 0 and variance 1.

(1)

The first quartile of any data is the value below which 25% of the data lie.

That is, P (Z < z) = 0.25.

The value of z is -0.67.

Thus, the first quartile of standard normal distribution is -0.67.

(2)

The third quartile of any data is the value below which 75% of the data lie.

That is, P (Z < z) = 0.75.

The value of z is 0.67.

Thus, the third quartile of standard normal distribution is 0.67.

(3)

In case of a standard normal distribution values lying outside the range

(Q₁ - 1.5 IQR, Q₃ + 1.5 IQR)

are considered as outlier.

Compute the range as follows:

Compute the probability of (Z < -2.68) and P (Z > 2.68) as follows:

The probability of a value being an outlier is,

P (Outlier) = P (Z < -2.68) + P (Z > 2.68)

                = 0.0037 + 0.0037

                = 0.0074

The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.0074 × 100 = 0.74%.

Step-by-step explanation:

Hope this helped...

HELP WORTH ALL THE POINTS I CAN GIVE!
I really don't understand this please help.

Answers

Answer:

try asking a parent or brother/sister

10postmen can sort 500 letters in 30 minutes.How many postmen are needed to sort 600 letters in 20 minutes

Answers

Answer: 18

Step-by-step explanation:

We want to find out how many letters each postman can sort in an hour to make the process easier. Since we're already told that 10 postmen can sort 500 letters in 30 minutes, we can use that info to find that each postman can sort 100 letters per hour as 10 postmen would be able to sort 1000 letters in 1 hour.

Then, we can apply this info to find out how many postmen can sort 600 letters in 20 minutes. We can multiply the time and task each by 3 to find that this is the same rate as sorting 1800 letters in 1 hour, so the answer is 18 postmen.

yeah. i dont know either Imao

A box has volume 2.5m³.
Express this volume in cm³​

Answers

Answer:

2.5 Cubic Meters =2500000 Cubic Centimeters

Step-by-step explanation:

2.5 Cubic Meters =2500000 Cubic Centimeters

(1m³ = 1000000cm³)

What are the solutions of this equation? 2x^2 + 16x − 8 = 0

Answers

Answer:

[tex]x=-4\pm2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]2x^2+16x-8=0\\\\x^2+8x-4=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-8\pm\sqrt{(8)^2-4(1)(-4)}}{2(1)}\\ \\x=\frac{-8\pm\sqrt{64+16}}{2}\\\\x=\frac{-8\pm\sqrt{80}}{2}\\ \\x=\frac{-8\pm4\sqrt{5}}{2}\\ \\x=-4\pm2\sqrt{5}[/tex]

7 3/5 + 2 1/2 as a fraction

Answers

Answer: 7 3/5 + 2 1/2 = 10 1/10

Step-by-step explanation:

Write the fractions to have like denominators to make it easier to add.

7 3/5 will become 7 6/10

2 1/2 will become 2 5/10

Rewrite them as improper fractions:

7 6/10 will become 76/10

2 5/10 will become 25/10

Now add.

76/10+25/10=101/10

Rewrite the sum as a mixed number

101/10 will become 10 1/10

Determining the Degree Measure of an Angle

The measure of the angle shown on the right is ______degrees.

Answers

I believe that the angle shown is 945°.

It loops around the grid twice, which is

360*2,

And then another 225 degrees.

Solve square root of x + square root of x+2 = 2

Answers

The value of x is [tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{x} + \sqrt{x + 2} = 2[/tex]

Rearranging the radical on left side,

[tex]\sqrt{x + 2} = 2 - \sqrt{x}[/tex]

Power on both sides,

[tex](\sqrt{x + 2})^{2} = (2 - \sqrt{x})^{2} [/tex]

Simplifying the left,

[tex]x + 2 = (2 - \sqrt{x} )^{2}[/tex]

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

[tex] = > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2} [/tex]

Now calculating its powers,

[tex] = > x + 2 = 4 - 4\sqrt{x} + x[/tex]

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

[tex] = > 4 \sqrt{x} = 4 + x - x - 2[/tex]

Now the +x and -x will be cancelled,

[tex] = > 4 \sqrt{x} = 4 - 2[/tex]

[tex] = > 4 \sqrt{x} = 2[/tex]

Bringing 4 to the right side, it becomes the denominator,

[tex] = > \sqrt{x} = \frac{2}{4} [/tex]

[tex] = > \sqrt{x} = \frac{1}{4} [/tex]

Now powering both sides,

[tex] = > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}[/tex]

[tex] = > x = \frac{1}{4} [/tex]

Pankaj borrows rupees 57,000 to buy a used car and is charged the rate of interest 6% per annum. if the term of his borrowing is 4 years, how much interest does he pay?​

Answers

Rs.13680 is the answer.

Step-by-step explanation:-

Given-

Principal (P) = Rs.57,000

Rate (r%) = 6%

[tex]→ \frac{6}{100} [/tex]

[tex]→ 0.06[/tex]

Time (n) = 4 years

Applying Interest formula,

[tex]→In=P \times R \times T[/tex]

[tex]→57,000 \times 0.06 \times 4[/tex]

[tex]→Rs.13680[/tex]

Hence, the interest is Rs.13680

Negative one half minus negative five ninths

Answers

Answer: -101/18

Step-by-step explanation: I think, I don’t know

For cones with radius 6 units, the equation V = 127th relates the height h of the cone, in units, and the volume V of the cone, in cubic units.
b. Using the graph from the previous question, Is there a linear relationship between height and volume? Explain how you know.

Answers

Answer:

hola

Step-by-step explanation:

cómo estás yo bien compita

Answer:

yes

Step-by-step explanation:

there is because in the graph your trying to figure out man idek how to word it you got it from here

PLEASE HELP GEOMETRY PLEASE HELP​

Answers

Answer:

Step-by-step explanation:

Scalene (no equal side): 4th triangle

Isosceles (two equal sides): 1st, 2nd, and 4th triangle

Equilateral (all equal sides): 3rd triangle

Hope this helps!

please help!
Given sin 0 = 5/6, find cos 0.

Answers

Answer:

[tex]cos(\theta)=\frac{\sqrt{11}}{6}[/tex]

Step-by-step explanation:

hope this helps :)

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