Phil is making a number cube out of cardboard He traces one face of the number cube onto a coordinate grid The coordinates of two opposite vertices of the face are (4, 8) and (12, 16) What is the surface area, in square units, of Phil's entire number cube?

Answers

Answer 1
Answer:   384 square units

=============================================================

Explanation:

Let A = (4,8) and B = (12,16)

Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.

The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.

So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.

There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.


Related Questions

A restaurant makes pizzas with 6-inch diameters ad 12-inch diameters. Which of the following statement is true?

The area of the 12-inch pizza is twice the area of the 6- inch pizza

The area of the 12-inch pizza is three times the area of the 6-inch pizza

the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza

the area of the 6-inch pizza is 1/6 the area of the 12-inch pizza

Answers

Answer:

The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

Step-by-step explanation:

The area (A) of each pizza is given by:

[tex] A = \pi r^{2} [/tex]

Where:

r: is the radius

For the 12-inch pizza we have:

[tex] A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch [/tex]

And for the 6-inch pizza we have:

[tex] A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch [/tex]

The ratio between A₆ and A₁₂ is:

[tex] \frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4} [/tex]

Hence:

[tex] A_{6} = \frac{A_{12}}{4} [/tex]

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

I hope it helps you!            

The area of the 6-inch pizza is 1/4 the area of the 12-inch pizza

Given that;

Diameter of pizza A = 12 inch

Diameter of pizza B = 6 inch

Computation:

Ration of Area of Pizza A to B = [πr1²] / [πr2²]

Ration of Area of Pizza A to B = [(12/2)²] / [(6/2)²]

Ration of Area of Pizza A to B = [(6)²] / [(3)²]

Ration of Area of Pizza A to B = 36 / 9

Ration of Area of Pizza A to B = 4:1

So,

Option "C" is the correct answer of the following question.

Learn more:

https://brainly.com/question/21454181?referrer=searchResults

I NEED HELP NEEDS TO BE DONE IN 10 mins
Standard to Slope Intercept Form
Put the following equation of a line into slope-intercept form, simplifying all fractions.
2x+8y=24

Answers

Answer:

y = - [tex]\frac{1}{4}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

2x + 8y = 24 ( subtract 2x from both sides )

8y = - 2x + 24 ( divide all terms by 8 )

y = - [tex]\frac{1}{4}[/tex] x + 3 ← in slope- intercept form

A number z squared, decreased by 7

Answers

9514 1404 393

Answer:

  z² -7

Step-by-step explanation:

A square is indicated using an exponent of 2. "Decreased by 7" means 7 is subtracted.

  z squared, decreased by 7 is ...

  z² - 7

Helppppppppppppppppp plzzzzzzzzzzzzzzzzzzzzzz

Answers

A it’s only right they is no way you can get more then A and it’s rounded

Find the missing value to the nearest hundredth cos=4/38

Answers

Answer:

83.96 (approximately)

Step-by-step explanation:

I am not completely sure what the problem is asking, just like the last one, but I believe that you are just supposed to take the inverse of cosine. So, in your calculator, make sure it is in degrees mode, then usually you have to click the 2nd key and then cosine. You use the inverse of cosine when two sides are given, but you are not given the angle.

It should look like:

[tex]cos^{-1}(\frac{4}{38})[/tex], which is approximately 83.96.

Hopefully this is right, if not, please let me know. Good luck.

There are 12 marbles in a bag. There are 4 blue, 5 red, 1 green, and 2 black.
12 Marbles totall
What is the probability of a red or a green from the bag?

5
12
12

Answers

Answer:

1/2

Step-by-step explanation:

There are 6 marbles that are either red or green out of 12 total marbles, so you have:

6/12 = 1/2

Answer:

1/2

Step-by-step explanation:

To find the probability, you need to put the number of what you want to know the probability of over the total. In this case, we want to know what the probability of red and green over the total is. So, hence the equation:

[tex]\frac{5+1}{12}[/tex] or [tex]\frac{6}{12}[/tex] which can be simplified to [tex]\frac{1}{2}[/tex].

1 4/5 = 2/5 + r HELPPPPPPPPPPPPPPPPPPPPP

































Answers

Answer:

r=7/5

Step-by-step explanation:

Help pleaseeeeeeeeeeeeee fast

Answers

Answer:

Step-by-step explanation:

a = 11.5×3 = 34.5 in²

b = 7.5×11.5 = 86.25 in²

c = a = 34.5 in²

d = b = 86.25 in²

lateral area = 2×34.5 + 2×86.25 = 241.5 in²

Answer:

241.5 in²

Step-by-step explanation:

................................................

Answers

Answer:

75.8°

Step-by-step explanation:

x + x + 28.4° = 180°{ being linear pair }

2x = 180° - 28.4°

2x = 151.6°

x = 75. 8°

Hope it will help :)

Xiang is a teacher who bought a $2350 laptop for school use. The laptop is an allowable
deduction with a rate of depreciation of 33% p.a. of the current value. How much can be
claimed for depreciation in the:

Answers

Answer:

b

Step-by-step explanation:

which of the following rules shows a reduction

Answers

Answer:

I believe you're missing something.


What property is this ?

a(b + c) = ab + ac

Answers

Answer:

distributive I'm pretty sure!

Step-by-step explanation:

i hope this helps have a great day:)

Find the area of the trapezoid by decomposing it into other shapes

Answers

Answer:

60 cm ( squared )

Step-by-step explanation:

you can find the area of the trapezoid ( by decomposing it into other shapes ) by separating two triangles, and using the formula to find the area of triangles, which is A= 1/2 ( b x h ) and add the answer to those together ( 16 cm squared and 4 cm squared ), and after that, you can find the area to the rectangle by multiplying the l x w, which is 10 x 4 ( after separating the triangles.). That equals 40, and when you add them all together ( 16 + 4 + 40 ) it equals 60 cm (squared).

Help, I need this soon!

Answers

Answer:

1a. x=2 1b. x= -1

Step-by-step explanation:

Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a
bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work
up to 20 hours per week but must earn at least $150 per week. If t represents the
number of hours Nick tutors and b represents the number of hours he works as a bag
boy, which system of inequalities represents this scenario?
A. t+b = 20
15t + 8b < 150
B. t+b 20
15t + 8b = 150
C. None of the systems shown represent this scenario.
D. t+b = 20
15t + 8b > 150

Answers

Answer:The answer is B.

He can't work more than 20 hours so t+b must be less than or equal to 20.

He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

Step-by-step explanation:

5 ft
4 ft
3ft.
Find the volume

Answers

Answer:

60 feet. :)

Step-by-step explanation:

This is the formula you want to use:

[tex]l*w*h=V[/tex]

It means that length·width·height = Volume. So, 5 · 4 · 3 = 60 ft.

PLS COME ASAP PLS!!!!

Answers

Answer: 9/2

Step-by-step explanation:

21=2(6) + 2(?)

21=12 + 2(?)

9=2(?)

(9/2)=?

6. Which function is equivalent to y=3( x + 2)2 + 7?

Answers

Answer:

3x+45

/3x /3x

x= 15

Explanation:
3x+45
/3x /3x
answer
x=15

What is the degree of -8mn^2

Answers

Answer: 2

Step-by-step explanation:

To find the degree, use the exponent. An exponent of two means a degree of two, like an exponent of four means a degree of four

Solve for c:



c + (-20) = -12

Answers

Answer:

8

Step-by-step explanation:

Isolate and solve for C

[tex]c + (-20) = -12\\c - 20 = -12\\c = -12+20\\c = 8[/tex]

Answer:

C = 8

Step-by-step explanation:

By reversing the equation, you can get the result.

-12 + 20 = ?

-12 + 20 = 8

Proofcheck:

8 + (-20) = ?

8 + (-20) = -12

I'm struggling a little bit can someone help?? A cell phone costs $850. You have a coupon for 15% off. How much will you pay for the phone? Include 13% tax

Answers

Answer:

722.50

Step-by-step explanation:

not exactly sure its right but i did use a calculator so I'm pretty sure it's right

Given:

850 dollars is the original price of the cell phone. (discount) coupon for 15% offtax is 13 percent.

------------------------------------------------------------------

original price - discount = sales price

850 - (850 x [tex]\frac{15}{100}[/tex] ) = sales price

ANSWER: $722.50 or [tex]\frac{1445}{2}[/tex]

Include 13% tax... price + sales tax = total price of the phone

722.50 + (722.50 x [tex]\frac{13}{100}[/tex] ) = ?

ANSWER:  The final price of the cellphone is $816.43

Cuál es el 45% de 4800

Answers

Answer:

2160

Step-by-step explanation:

45x4800

divide that by 100!

*DISCLAIMER THIS IS NOT A REAL QUESTION*

So I heard the most bullcrap thing yet

Izuku and Bakugou vs Gon and Killua


CLEAR FACTS: Killua vs Bakugou
Feats:

Killua can move at 12'000 mph, Melody could barely hear Hi footsteps BUT Melody could hear a conversation from miles across a city, and then you Have Godspeed.

Gon can move 200'000 mph, He has mastered nen, Top feat destroyed a massve chunk of a forest, and then you Have Adult Gon


Izuku can move at mach 29, Still hasn't mastered OFA, Top Feat Destroy, and then you have 100%OFA(Copyrighted SSJ2 Gohan and nen eyes)

Bakugo can move 27mph, His explosion's are harmless(anyone even near a expulsion should have there insides melted yet everyone is fine with them and they do not tooo much damage to Todoroki or Izuku or even his old bully friends in middle school and childhood), Also if Izuku shares his DNA ya get super OFA Bakugou (a lil stronger than deku but not big enough)

Answers

Answer:

so which one would beat up who?

Step-by-step explanation:

Answer:

killua is strongest out of all of them so i think hell wjin

Step-by-step explanation:

PLease help with this i will give brainliest

Answers

Answer:

Probably -3

Step-by-step explanation:

If it's going by 3s, then it should be -3.

Answer:

-3

Step-by-step explanation:

What is this trying to ask me ???

Answers

Given :

In ∆ABC,

∠A = 60°∠B = 60°BC = 12 units∠BDC = 90°

To Find :

Area of ∆ABC = ?

Solution :

As, we have :

∠A = 60°∠B = 60°

So, By angle sum property of triangle :

∠A + ∠B + ∠C = 180°

[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]

[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]

[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]

[tex] \tt : \implies \angle C = 60\degree[/tex]

Now, we have :

∠A = 60°∠B = 60°∠C = 60°

As, all angles are of same length, therefore it is a equilateral triangle.

We know that sides of equilateral triangle are equal.

[tex] \tt : \implies AB = BC = AC[/tex]

Now, we have BC = 12 units.

Hence, all sides are of 12 units.

Now, we know that area of equilateral triangle is :

[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]

[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]

[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]

[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]

[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]

So, Area of given triangle is 36√3 units².

Jessica estimated that her family used 30% more water this month compared to last month . they used 12000 gallons of water last month , how much water did they use this month

Answers

Answer:

15,600 Gallons

Step-by-step explanation:

The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Last used of water = 12000

30% of 12000 = (30/100)12000 = 3600

Water used in the current year = 12000 + 3600 = 15600 gallons.

Hence "The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Work out the size of angle x.
Х
43°
90

Answers

Answer:

It's 47

Step-by-step explanation:

I hope this helps you

I need help on this problem

-10.7 + (-19.26)

(I have to show my work btw)

Answers

Answer:

-29.96

Step-by-step explanation:

You add both numbers, as both are negative, and you get the answer.

Is this statement always true?A cross section parallel to the base of a right rectangular prism is a square

Answers

Answer:

Step-by-step explanation:

No, it's not always true

What is the domain? {-2,3); (1,4); (2,4); (0,0)}

Answers

Answer:

-2,1,2,0

Step-by-step explanation:

0 your choice to right,still right it to be safe, domain is all x values

Other Questions
What is the value of the 5 in 590 What is 3\times2 \dfrac{2}{3}32 3 2 3, times, 2, start fraction, 2, divided by, 3, end fraction? Choose 2 answers: Choose 2 answers: (Choice A) A 888 (Choice B) B \dfrac{24}{3} 3 24 start fraction, 24, divided by, 3, end fraction (Choice C) C 6\dfrac{2}{3}6 3 2 6, start fraction, 2, divided by, 3, end fraction (Choice D) D \dfrac{8}{3} 3 8 what is the role of the midea as a source of a president's informal powers How do you think fighting a two front war will go for Germany? Will they be successful? Will it be disastrous? Explain. write a 10 sentence reflection on a time when you stood up for something right. someone write it for me please :( It is formed as a result of long continued weathering process of rocks what is the benefits of technologies ameliorate uses of convace, convex mirror Express 6.925 x 10^5 in standard form. A. 0.00006925 B. 0.0006925 C. 6.92 D. 692,500 Can someone please help Which of the following BEST describes the rule of four?A.The Supreme Court uses the rule of four after they have heard a case to decide whether they will issue an opinion on the case.B.The Supreme Court uses the rule of four to determine whether a case will be granted a writ of certiorari.C.It refers to the number of votes required to make a majority decision on the Court.D.The rule of four refers to the number of justices it takes to form a minority opinion on a case.Please select the best answer from the choices providedABCD HURRY PLEASE!! By selecting the text below each image, you can learn about different kinds of sources.The cover of The Yale Journal of Biology and Medicine. October 1928. Several newspapers. An e-reader that says, "The News."Academic Sources News Publications Popular Publications At the end of a conference, the attendants were asked if they are planning to attend this conference next year. The ratio of Yes to No answers was 7 to 9. If 320 people gave either a 'Yes' or 'No' answer, then how many of these people answered 'Yes'? What tells cells how to make proteins Fill in the blanks with words : WORD BANKfrom the word bank You will : text features articlesnot use them all: tonetopicrepeatedmain Idea1. Theis the person, place, event, thing, or idea that the textis about; the subject of the text.12. Theis what the author wants you to know about thesubject; what the article is mostly about3. To determine the main idea, you shouldRead the title and look at the otherto makepredictions about the topic and main idea.Read the whole text and look for words and ideas that areAsk yourself. What is the author trying to tell me about the topic?" Sam cut a 28-foot rope into 4 equal pieces. How long is each piece of rope in inches? -HELP PLEASE THIS IT DUE IN 5 MINUTESSS when gas changes to liquid is it gaining or loosing energy? The box-and-whisker plot below represents some data set. What percentage of the data values are less than 80? 2 9/10 as a decimal number hi im 7th grade and i feel like people think i smell when i do everything to not smell. i wake up take a shower with soap aplly deoderant and brush teeth. any tips