Three faces of a cube are randomly selected. What is the probability that they have
a common vertex? Express your answer as a common fraction

Answers

Answer 1

The probability that they have a common vertex is 20%.

Probability

Since three faces of a cube are randomly selected, to determine what is the probability that they have a common vertex, the following calculation must be performed:

1x2/5x2/4 = X1x0.4x0.5 = X0.2 = X

Therefore, the probability that they have a common vertex is 20%.

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Related Questions

A farmer needs to construct a square fence with an area of 121 square feet to hold farm animals. how long does each side of the fence have to be to fulfill his 121 square foot requirement?

Answers

Answer:

The side length of the square is 11 feet.

Step-by-step explanation:

Let S = side length

Let A = area

[tex]A = S^{2}\\121 = S^{2}\\\sqrt{121} =\sqrt{S^{2} } \\S = 11[/tex]

BRAINLISTTT please explain how to do this!!

Answers

Answer:

You can make either an x|y list or use desmos graphing calculator to help you.

Step-by-step explanation:

x|y list means you should pick a value like -2,-1,0,1,2 and plug it in for x and the value you get is the y and you can plot those points on the graph.

Under a dilation, are the pre-image and the image always,
sometimes, or never congruent?

Answers

Answer:

Never congruent

Step-by-step explanation:

A dilation is a transformation that makes an image that is thr same shape as the original, but a DIFFERENT SIZE.

Congruent shapes means they both have the same shape AND size.

So a dilation of the new image/shape can NEVER have the same shape AND size with the original.

BRAINLIEST?? TY!! :DD

True or false.

If two figures are similar and one is bigger than the other, the scale factor of bigger to smaller will be the same as the scale factor of smaller to bigger.

don't guess

Answers

Answer:

true

Step-by-step explanation:

Find the surface area of the shape

Answers

Answer:

7.888.9999999.758375848

Step-by-step explanation:

yes, yes this is the answer

A string 1 metre long is cut into 3 pieces, A,B and C. A is 10 cm long and C is 30 cm long, find the ratio of the lengths of A to C to B​

Answers

Answer:

The semi annual compound interest of a sum of money in 1 year and 2 years are Rs. 2100 and Rs. 4641 respectively, find the rate of interest and the sum.

I got the question wrong

Answers

Answer:

Philadelphia

Step-by-step explanation:

Philadelphia

in 1990 the population was 1.6 million.in 2000 the population decreased to about 1.5 million.

San Diego

in 1990 the population was 1.1 million.in 200 the population increased to about 1.2 million

Houston

in 1990 the population was 1.6 million.in 2000 the population increased to 2 million.

Phoenix

in 1990 the population was 1 million.in 2000 the population increased to 1.2 million.

Answer: D) Philadelphia

Explanation:

The top bar as a darker shade represents the population in 1990, and the lighter shade down below is the population for the year 2000.

The city of Dallas has its population increase because the lighter shaded bar is longer. This rules out choice A. Choices B and C are ruled out for similar reasoning (Phoenix and San Diego also show population growth).

Only Philadelphia experiences population decline during this time period.

The volume of this right trapezoidal prism is 464.75 ft³. What is the height, x, of the prism? Enter your answer as a decimal in the box.

Answers

Check the picture below.

so the volume is really just the product of the trapezoidal face and the length, and we know is 464.75 ft³.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ b=8\\ a=5 \end{cases}\implies A=\cfrac{5(5+8)}{2}\implies A=\cfrac{65}{2}~ft^2 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large volume of the prism}}{\stackrel{\textit{area of trapezoid}}{\left( \cfrac{65}{2} \right)} \stackrel{length}{(x)}}~~ = ~~464.75\implies \cfrac{65x}{2}=464.75 \\\\\\ 65x=(2)464.75\implies x=\cfrac{(2)464.75}{65}\implies x=14.3[/tex]

I NEED HELP ASAP AND WILL GIVE BRAINLIEST !!

At a carnival, tickets were given to the visitors for games and rides. The ratio of the number of adults
to the number of children was 2: 5. Among the children, the ratio of
the number of girls to the number of boys was 1: 3. Each adult received 2 tickets
received 4 tickets. A total of 2976 tickets were given out.
(A) what fraction of the visitors are boys? Express your answer in its simplest form.
(b) How many more boys than girls were there at the carnival?

Answers

Correct answer:
r = 1:4

Step-by-step explanation:
a=40
b=10

r=b/a=10/40=0.25

Hope this helps i tried my best

Suzie went to the carnival and spent $2.85 on a lemonade and $3.25 on a hot dog. How much money did Suzie spend in total? (3 points) a $6.10 b $6.50 c $6.85 d $7.10

Answers

Answer:

a) 6.10

Step-by-step explanation:

if you want to figure out the total number spent, then you simply add together the two amounts to get:

3.25+2.85=6.10

p.s. dont post such simple questions on brainly

Answer: a. $6.10

Step-by-step explanation:

2.85 + 3.25 = (2+3)+(.85+.25) = (5)+(1.10)=6.10
therefore, $6.10 is the right answer

243+222 Based on the passage, which statement is fact rather than fictio

Answers

Answer:465

Step-by-step explanation:

Answer: the answer is d) several players have asthma .

243+222=465

Step-by-step explanation:

which is true because players do have asthma and ii also took the test and made a 100 .

D) If Clarissa pays $84 to buy a watch after a
discount of 20%, find the original price of the
watch

Answers

Answer:

$100.80

Step-by-step explanation:

84 * 1.20 (120%) is 100.80

Answer:100.8

Step-by-step explanation:

0.2x84=16.8 so 16.8 is the discount.

84+16.8=100.8

Aaron wants to paints a wall in his office. There are two windows in the wall. The windows have dimensions of 4 feet by 3 feet. The height of the wall is 8 feet and the width is 12 feet. What area of wall is to be painted.

Answers

72 ft
Area of wall- 8•12=96
Area of windows- 2(4•3)=24
96-25=72

Answer:

Answer:we are looking for the area of the Wall to be painted.

Answer:we are looking for the area of the Wall to be painted.Area=L × B

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows area

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LB

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84therefore area to be painted=84feet square

Which equation is the correct translation of the following statement?
Four less than a number is nine.
O 9 - X= 4
O9-4 = x
O x-4 = 9
O4 - X= 9

Answers

hello!

Let the number be x.

subtract 4:-

x-4 (4 less)

this expression equals 9:-

x-4=9 (Option C)

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)


A camera lens magnifies an object 10 exponent 3 times. The length of an object is
10 exponent -4 centimeter. What is its magnified length?

Answers

Answer:

10^3/10^-4

Step-by-step explanation:

FROM MATH MULLIGAN

What is Lens Focal Length

Focal length, usually represented in millimeters (mm), is the basic description of a photographic lens. It is not a measurement of the actual length of a lens, but a calculation of an optical distance from the point where light rays converge to form a sharp image of an object to the digital sensor or 35mm film at the focal plane in the camera. The focal length of a lens is determined when the lens is focused at infinity.

Lens focal length tells us the angle of view—how much of the scene will be captured—and the magnification—how large individual elements will be. The longer the focal length, the narrower the angle of view and the higher the magnification. The shorter the focal length, the wider the angle of view and the lower the magnification.

The magnified length of the object is 10⁻¹ m

What is magnified length?

An image is said to be magnified when its size is greater than that of the object, and it is said to be diminished when its size is smaller than that of the object.

Given that,

A microscope magnifies an object 10³ times. The length of an object is 10⁻⁴ meters. The magnified length is:

10³ × 10⁻⁴ m

We can solve this by applying the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.

10³ × 10⁻⁴ m

= 10³⁺⁽⁻⁴⁾ m

= 10³⁻⁴ m

= 10⁻¹ m

Hence, the magnified length is 10⁻¹  m.

Learn more about magnified length, click;

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HELPP!!!! Tyrell is working on the middle school yearbook. He wants to fit a 4×6 inch photo into a space that is 3 inches wide. At what percent should he set the copier zoom button to achieve this size?

Answers

Answer:

50%

Step-by-step explanation:

Step one:

By convention, the dimension of a shape is described as

Lenght first, followed by width

Hence

lenght = 4 in

Width = 6 in

Step two:

Therefore, to achieve a new width of 3 in, the initial width must be divided by 2, which is a 50% reduction.

3/6*100

0.5*100

=50%

Answer:its 75 percent

Step-by-step explanation:

Need some help with a math problem. The problem is: The figure is made by attaching semicircles to each side of an 11 ft-by-11-ft square. Find the area, in square feet, enclosed by the figure. Use 3.14 for pi. Round to the nearest whole number.

Answers

One circle is pi (r)
5.5 is half of 11 which is the radius.
5.5* 3.14 =17.27 for one semicircle
17.24*4 = 69.08 for four semicircle
+ the square which is 11*11=121
121(the square) + 69.08(the circles) =
190.08ft^2

Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.

If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.

Answers

Answer:

165.8 ft (nearest tenth)

Step-by-step explanation:

We can use the tan trig ratio to calculate the height of the tower.

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] = the angleO = the side opposite the angleA = the side adjacent the angle

From inspection of the diagram:

[tex]\theta[/tex] = 37°O = height of tower (let's call this h)A = 220 ft

Substituting these values into the trig tan ratio:

[tex]\sf \implies tan(37)=\dfrac{h}{220}[/tex]

Multiply both sides by 220:

[tex]\sf \implies 220tan(37)=h[/tex]

[tex]\sf \implies h=220tan(37)[/tex]

[tex]\sf \implies h=165.781891[/tex]

Therefore, the height of the tower is 165.8 ft (nearest tenth)

Please solve all the problems I’m failing this is my only chance to get my grade up

Answers

Well I can’t measure the angles, but you can with a protractor. Then just add those three angles together and if they equal 180, the second answer is yes. And the last problems involve the triangle inequality theorem. If you add the two lesser sides together and they equal less than the third side, they can’t be a triangle. 9+10 is 19 which is less than 22, so it can’t be a triangle. And 7+2 is 9 which still doesn’t work and cannot be a triangle.

If a=2, b=-1 and c= 1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c

Answers

A- a+b-c²

=2+(-1-1)^2

=1-1

=0

B-a³-b+c

2^3-(-1+1)

=8+1+1

= 10

C-a-b-c

2-(-1-1)

=2+1-1

=2

I know the answer but don't know how to do it.... pls explain the answer. thank you

Answers

Answer:

white paint

Step-by-step explanation:

i took this test last week :)

Elizabeth is five-sixths the age of her
sister Nancy. If Elizabeth is ten years
old, how old is Nancy? Write an
equation
to calculate Nancy's age.

Answers

Answer: Nancy is 12

Nancy = 5/6N =10

Step-by-step explanation:

Elizabeth = 5/6N

5/6N = 10

Divide both sides by 5/6

Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?

Answers

Answer:

165.50

Step-by-step explanation:

yeah

Answer: 165.50

Step-by-step explanation: i had the same one and got it right

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

77

Step-by-step explanation:

A=B x H divide by 2

A= 14 x 11 /2 = 77

help?
Alyssa is getting gas for her car. Her car’s 15-gallon tank has 1/5 a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?

Answers

Answer:

$32.39

Step-by-step explanation:

She has a 15-gallon tank and it has 1/5 a tank of gas left (so about 3/15)

Because she needs to refill it and already has 1/5, she'll only need to pay for 4/5 a tank of gas (12/15).

So the equation should be 12 times $2.699.

12 × 2.699 = 32.388

Then, round to the nearest cent.

32.388 = $32.39

Hope this helped !

Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.

Answers

Answer:

The Last option

Step-by-step explanation:

We see this figure has eight faces, so we already know the answer choice is D, because answer choice D is the only option with 8 faces.

Now let's prove this using Euler's Formula

F = Faces

V = Vertices

E = Edges

We see 12 vertices, 8 faces, and 18 edges. Now plug in the formula.

F + V = E + 2

8 + 12 = 18 + 2

20 = 20

Yo I need to bring up my grade bad so
3x=3y-6
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

Kendra and Dalisay practice archery. Kendra hits the target 3 times for every 5 misses. Dalisay hits the target 5 times for every 7 misses. Who hits the target more?

Answers

Using proportions, it is found that Dalisay hits the target more.

What is a proportion?

A proportion is a fraction of a total amount.

Kendra hits the target 3 times for every 5 misses, that is, she hits the target 3 out of 8 times, hence her proportion is:

pK = 3/8 = 0.375.

Dalisay hits 5 out of 12 times, hence:

pD = 5/12 = 0.4167.

Due to the higher proportion, Dalisay hits the target more.

More can be learned about proportions at https://brainly.com/question/24372153

83250/?=74*25
options are:
a) 50
b) 45
c) 40
d) 55
e) none of these​

Answers

Answer:

B. 45

Step-by-step explanation:

Simplyfy 74*25

1850

Now blug in all the values for the "?".

83250/45=1850

This is the only value that staifies this equaton so therefore, B 45

Answer:

45.

Step-by-step explanation:

83250/x=74*25

83250/x=1850

1850 * x = 83250

x = 83250 /1850

= 45

If sally had 5 apples and Sam took 3 how many apples are left

Answers

Answer:

2 apples are left

Step-by-step explanation:

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