Find the surface area of the cube shown below.

Find The Surface Area Of The Cube Shown Below.

Answers

Answer 1

Answer:

37.5 or 37 1/2

Step-by-step explanation:

The formula for finding surface area in a cube is A=6a^2

substituting 2.5 instead of a will result in this equation. A=6(2.5)^2

solving algebraically will then get you to your answer of 37.5

Answer 2

Answer:

S.A. = 37.5

Step-by-step explanation:

Each cube has six faces. All faces are congruent and each of them is a square.

The fromula of an area of a square is:

[tex]A=s^2[/tex]

s - length of a side of a square

We have

[tex]s=2\dfrac{1}{2}[/tex]

Convert it to a decimal

[tex]s=2\dfrac{1}{2}=2.5[/tex]

Substitute to the formula of an area of a square:

[tex]A=(2.5)^2=(2.5)(2.5)=6.25[/tex]

The Surface Area of a cube:

[tex]S.A.=6A[/tex]

Substitute:

[tex]S.A.=6\cdot6.25=37.5[/tex]


Related Questions

Karen brought a total of 7 Items at 5 different stores. She began with $65.00 and had $15.00 remaining. Which of the following equation can be used to determine the average cost per item?
A) 7x x 5=$50.00
B)7x =$75.00
C)7x+ $15.00=$65.00
D)5x=$65.00-$15.00

Plse make sure ur answer has an explanation
THANK U AND ENJOY UR 25 POINTS!!

Answers

Answer:

A.) 7x x 5=$50.00

Step-by-step explanation:

You can eliminate B and C as they don't include the 5 different stores.

D is incorrect because it doesn't include the 7 items.

Therefore, A is correct because 7x is the 7 items multiplied by the average cost per item and you multiply by 5 because she does that at each of the 5 stores. It = to 50 because she started with $65 but ends up with $15 so you subtract $65 with $15 to get $50 as that's how much she spent.

Answer:

A

Why:

$65.00-$15.00=$50.00

She visited 5 stores, and she bought 7 items.

So therefore it would be A.

Sorry that my answer was short.

Consider the quadratic function f(x) = - 2x ^ 2 + 5x - 4 The leading coefficient of the function is

Answers

Answer:

{-2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4

Step-by-step explanation:

Given the quadratic function

we have to find the leading coefficient of given quadratic equation.

The coefficient of x2 i.e a is known as the leading coefficient.

Comparing given equation with the standard equation, we get

a=-2

How do you solve 6x^2 +12x-48=0 by completing the square?

Answers

Answer:

x = -4  and x = 2

Through the Completing the Square process below:

Step-by-step explanation:

solve 6x^2 +12x-48=0

first divide out the 6

x^2 + 2x - 8 = 0

Then use the Diamond method:

-8 = -2*4 ,   and  -2 + 4 = 2

so

x^2 - 2x + 4x - 8 = 0

x(x - 2) + 4*(x -2) = 0

(x + 4)(x - 2) = 0

so, solve  x + 4 = 0    and  (x - 2) = 0

x = -4  and x = 2

The completing the square is  {-4, 2}

what is completing the square?

Completing the Square. Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial . To solve a x 2 + b x + c = 0 by completing the square

According to the question,

Simplifying

6x2 + 12x - 48 = 0

Reorder the terms:

-48 + 12x + 6x2 = 0

Solving

-48 + 12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.

6(-8 + 2x + x2) = 0

Factor a trinomial.

6((-4 + -1x)(2 + -1x)) = 0

Ignore the factor 6.

Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying

-4 + -1x = 0

Solving

-4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -1x = 0 + 4

-1x = 0 + 4

Combine like terms: 0 + 4 = 4

-1x = 4

Divide each side by '-1'.

x = -4

Simplifying

x = -4

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms: 0 + -2 = -2

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

Solution

x = {-4, 2}

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What’s 7 and what’s 9?

Answers

Answer:

7. A- 5√2

9. C- 6√2

Step-by-step explanation:

Let's begin with question 7 asking to simplify √50.

We need to ask ourselves the question if 50 has a factor that is a square. It does!

We can break √50 into √25·2. Since 25 is a square, we can take it out of the radical by taking out its square root like this:

5√2.

For question 9, we can simply do the same exact process. √72 can be broken into a factor that is a perfect square as well!

√72 --> √36·2

Now, take the square root of 36 out of the radical to become:

6√2

Here are your answers!

Answer:

7 is A

Step-by-step explanation:

50 can be turned into 2 and 25 and you can simplify 25 into 5 giving you 5 to the square root of 2

A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC =150°. Calculate the area of triangle ABC.

a)
40 km2
b)
30 km2
c)
10 km2

Answers

Final answer:

The area of triangle ABC, with sides of 8 km and 5 km and an internal angle of 150 degrees, is calculated using the formula for the area of a non-right triangle. The result is 10 km².

Explanation:

The subject of this question is Mathematics, specifically Geometry dealing with calculation of area of a triangle using the properties of a non-right triangle.

The area of the triangle ABC can be calculated using the formula 0.5 * a * b * sin(C), where C is the angle between sides a and b.

Here, a is the length from A to B, which is 8 km; b is the length from B to C, which is 5 km; and the angle C (angle ABC) is 150°.

Plug these values into the formula: 0.5*8km*5km*sin(150°) which equals to 10 km².

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A survey of 20 Middleton residents was done to determine the number of people in each household. The numerical frequencies are shown in the dot plot.

Answers

The outliers are 1, 6 and 9 while the mean is 3.5 and the range is 8

How to Interpret a Dot Plot?

1) From the given dot plot, we can say that the outliers are 1, 6 and 9. This is because these numbers are far away from the general  number of people in each household.

2) The mean is;

[(1 * 1) + (2 * 4) + (5 * 3) + (4 * 4) + (5 * 4) + (1 * 9)]/20 = 3.5

3) The range is the difference between the highest number and the lowest number. Thus;

Range = 9 - 1

Range = 8

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Which of the following is equivalent to
In 4x + 5 Inx - In 2xy ?
O In (8x?y)
0 In (4x6 - 2xy)
5 In 4x
Co
In 2y
• in2x
DONE​

Answers

Answer:

Step-by-step  expthe second term is −5. We include ... the like terms are 2x and 4x, 3y and −5y. What do we do ... b) What number is the coefficient of y ? −4. c) What ... m) 4x² − 5x² + x² = 0. Problem 5. ... d) (5xy − 3x + 2y − 1) − (2xy − 7x − 8y + 6) ... We can therefore state the following rule for subtraction. ... Subtract x² − 5x + 7 from 3x² − 8x − 2.lanation:

Answer: D

In(2x^5/y)

Step-by-step explanation:

equation for a parabola with a focus of (2, -2) and a directrix of y=-8

Answers

Answer:

y=1/8(-x^2+4x+44

Step-by-step explanation:

In this question the given focus is (2,4) and a directrix of y = 8 and we have to derive the equation of the parabola.

Let (x,y) is a point on the given parabola.Then the distance between the point (x,y) to (2,4) and the distance from (x,y) to diractrix will be same.

Distance between (x,y) and (2,4)

= √(x-2)²+(y-4)²

And the distance between (x,y) and directrix y=8

= (y-8)

Now √(x-2)²+(y-4)² = (y-8)

(x-2)²+(y-4)² = (y-8)²

x²+4-4x+y²+16-8y = y²+64-16y

x²+20+y²-4x-8y = y²-16y+64

x²+20-4x-8y+16y-64=0

x²+8y-4x-44 = 0

8y = -x²+4x+44

Y=1/8(x^2+4x+44) is correct

Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown. x2 + y2 + 6x + 4y – 3 = 0 x2 + 6x + y2 + 4y – 3 = 0 (x2 + 6x) + (y2 + 4y) = 3 (x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4 Which completes the work correctly?

Answers

We have been given that Mrs. Culland is finding the center of a circle whose equation is [tex]x^2+y^2+6x+4y-3 = 0[/tex] by completing the square. We are asked to find the final step of her work.

Let us complete the square.

We know that to complete square, we need to add the half the square of coefficient of x and y term.

[tex]x^2+y^2+6x+4y-3+3 = 0+3[/tex]

[tex]x^2+6x+y^2+4y=3[/tex]

We can see that coefficient of x is 6 and coefficient of y is 4.

[tex](\frac{6}{2})^2=3^2=9[/tex]

[tex](\frac{4}{2})^2=2^2=4[/tex]

Now we will add 9 and 4 on both sides as:

[tex]x^2+6x+9+y^2+4y+4=3+9+4[/tex]

[tex](x^2+6x+9)+(y^2+4y+4)=16[/tex]

Now we will complete the square as:

[tex](x+3)^2+(y+2)^2=4^2[/tex]

We know that standard form of equation of a circle is in form [tex](x-h)^2+(y-k)^2=r^2[/tex], where point (h,k) represents center of circle and r represents radius of circle.

We can rewrite our equation as:

[tex](x-(-3))^2+(y-(-2))^2=4^2[/tex]

Now we can see that center is at point [tex](-3,-2)[/tex].

Therefore, the equation of the circle would be [tex](x+3)^2+(y+2)^2=4^2[/tex] with a center at point [tex](-3,-2)[/tex].

Answer:

d

Step-by-step explanation:

egd 2021

I need number 3 only please help me!!

Answers

The answer is 9 times. This is because if the radius of A is r, and the radius of B is 3r, the radii will be squared while finding the formula. So, r will become r squared, while 3r will become 9r squared.

Find the area of the parallelogram TOWN plotted below. Round your final answer to the nearest hundredth.

Answers

Answer:

40

Step-by-step explanation:

Pythagorean

The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below. Means and Mean Absolute Deviations of Individual Times of Members of 4 times 400 meter Relay Track Teams Team A Team B Mean 59.32 s 59.1 s Mean Absolute Deviation 1.5 s 2.4 s What percent of Team B’s mean absolute deviation is the difference in the means? 9% 15% 25% 65%

Answers

Answer:

the answer is 9%

Step-by-step explanation:

i looked it up

9% percent of Team B’s mean absolute deviation is the difference in the means.

what is mean?

the sum of all values divided by the total number of values is known as the mean.

what is mean absolute?

the average distance between each data point and the mean.

or

mean absolute is a measure of variability that indicates the average distance between each observation and the mean.

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a 15 inch long windshield wiper blade swipes in arc of 120°. How many square inches of a windshield’s surface area does the blade cover in one swipe

Answers

The blade covers an area of 235.714 square inches in one swipe.

In this question, we are to calculate the area that is covered by blade cover of the windshield wiper blade in 1 swipe.

To calculate this, we shall be using the formula for the area of the sector. The sector in this case subtends an angle of 120 degrees at the centre.

Mathematically, the area covered by the blade in one swipe is

A = θ/360 * pi * r^2

where θ = 120 degrees and r = 15 inch

A = 120/360 * 22/7 * 15^2

= 1/3 * 22/7 * 225 = 22 * 75/7 = 235.714 square inches

A number cube labeled one though six is rolled and a letter is selected from
the word MUSIC. Find each probability. P(6 and consonant)

Answers

Answer:

1/10

Step-by-step explanation:

In the question above we are given two data sets

a) A number cube labelled and it rolled, 1 to 6

b) A word called Music

We are asked to find the probability of

obtaining a 6 from the rolled dice and picking a consonant.

Step 1

Probability = Number of Possible Outcomes/ Number of events

Probability of obtaining a 6 from the rolled cube = P(6) = 1/6

Step 2

Probability = Number of Possible Outcomes/ Number of events

In the Letter MUSIC, we have 5 letters,

2 Vowels and 3 consonants

The Probability of Obtaining an Consonant = Number of possible outcomes ( Number of consonants) ÷ Number of events ( Number of letters in MUSIC)

P ( Consonant) = 3/5

Step 3

This is the final step

And we are to find the Probability of P(6 and consonant)

P( 6 and Consonant ) = P (6) × P ( Consonant)

P ( 6 and Consonant) = 1/6 × 3/5

= 3/30 = 1/10

Therefore, the Probability of obtaining P(6 and consonant) = 1/10.

Final answer:

The probability of rolling a 6 on a six-sided die and selecting a consonant from the word MUSIC is 1/10.

Explanation:

The probability of rolling a 6 on a number cube and selecting a consonant from the word MUSIC is found by multiplying the probabilities of the two independent events. The probability of rolling a 6 on a six-sided die is 1/6. The word MUSIC has three consonants: M, S, and C. The probability of choosing a consonant from MUSIC is 3/5, since there are 5 letters in total and 3 of them are consonants.

Therefore, the probability of both events occurring is:
P(6 and consonant) = P(6) × P(consonant) = (1/6) × (3/5) = 1/10.

Please answer ASAP Will give five stars

Answers

384 pi. Please mark me brainliest it would mean a lot man

I need help please i don’t understand

Answers

Answer:

C

Step-by-step explanation:

In the equation y = -2x - 3, find x if y= 5.

Answers

Answer:

-4

Step-by-step explanation:

y= -2x - 3

First, plug in 5 for y

5= -2x - 3

+3        +3

8= -2x

Divide by -2

-4= x

Final answer:

To find x when y = 5 in the equation y = -2x - 3, the solution is x = -4.

Explanation:

In the given equation y = -2x - 3, to find x when y = 5, substitute y with 5 in the equation:

5 = -2x - 3

Solve for x:

Add 3 to both sides: 5 + 3 = -2x

8 = -2x

Divide by -2: x = -4

Find the volume of a pyramid with a square base, where the side length of the base is 8.7 cm and the height of the pyramid is 13.1 cm

Answers

Answer:

V = 330.513 cm^3

Step-by-step explanation:

Area = l x w and with a square the length and width are the same, additionally the volume of a pyramid can be found by using the formula (L)(w)(h)/3 so

8.7 x 8.7 = 75.69cm^2

75.69 x 13.1 = 991.539

991.539 ÷ 3 = 330.513 cm^3

Mark as brainliest please :)

Final answer:

The volume of a pyramid with a square base of side 8.7 cm and height 13.1 cm is calculated using the formula for volume, resulting in 330.35 cm³.

Explanation:

To find the volume of a pyramid with a square base, you can use the formula V = (1/3) × base area × height, where the base area for a square is given by side length × side length.

In this case, the side length of the base is 8.7 cm, and the height of the pyramid is 13.1 cm.

First, calculate the area of the base:

Base Area = 8.7 cm × 8.7 cm = 75.69 cm²

Then, calculate the volume of the pyramid:

Volume = (1/3) × 75.69 cm² × 13.1 cm = 330.35 cm³

Therefore, the volume of the pyramid is 330.35 cm³.

There are 30 students on the school's student council. A special homecoming dance committee is to be formed by randomly selecting 6 students from student council. How many possible committees can be formed?

Answers

Final answer:

To determine the number of ways to form a committee of 6 students from 30 council members, we use the combination formula C(30, 6), which yields 593,775 different combinations.

Explanation:

The question asks how many possible committees of 6 students can be formed from a group of 30 students on the student council. This is a combinatorial problem and can be solved using the combination formula which is given by C(n, k) = n! / (k! * (n - k)!), where C(n, k) is the number of combinations, n is the total number of items, and k is the number of items to choose. So to answer the question, we must calculate C(30, 6).



Calculating C(30, 6), we have:



C(30, 6) = 30! / (6! * (30 - 6)!)

C(30, 6) = 30! / (6! * 24!)

C(30, 6) = (30 × 29 × 28 × 27 × 26 × 25) / (6 × 5 × 4 × 3 × 2 × 1)

C(30, 6) = 593,775



There are 593,775 different ways to form a committee of 6 students from a student council of 30 members.

Do,k = (9,6) --> (3,2)
The scale factor is?
1/3
3
6

Answers

Answer:

the answer is 1/3

Step-by-step explanation:

If you dilate (3,2) by 3 it will come out a (9,6). Therefore, the scale factor is 1/3

The diagram shows the number of dollars each child in a family has. A balance diagram going from 1 to 9. 2 circles are above 5 and 2 circles are above 9. How can they redistribute the money so that each child has the same amount? Check all that apply. Each child who has $9 must give away $4. Each child who has $9 must give away $2. Each child who has $5 must be given $4. Each child who has $5 must be given $2. When fairly balanced, each child has $7. When fairly balanced, each child has $8. BRAINLIEST BABY!!

Answers

Answer:

B D E

Step-by-step explanation:

i did the quiz

Answer:

2,4,5 choices

Step-by-step explanation:

I did the quiz

(17-2) Dustin is buying carpet for the living room. If the length of the room is 21 ft and the width
is 11 ft, how many square feet of carpet does he need to buy?

Answers

Answer:

221

Step-by-step explanation:

What is the volume of this cone?

Answers

Answer:

3

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

volume of cone = 1/3 * pi * r^2 * h = 1/3 * pi * 5^2 * 12

12 cookies are in a bag. 6 children will share a bag of cookies. The children want to know how many cookies they will each get. Which number sentence would they use to answer the question?

Answers

Answer:

12 / 6 = 2

Step-by-step explanation:

If there are a total of 12 cookies, and these cookies will be divided evenly among 12 children, to find how many cookies each children will have, we just need to divide the total number of cookies by the total number of children:

Number of cookies per children = number of cookies / number of children

Number of cookies per children = 12 / 6 = 2

So each children will get 2 cookies.

How many times greater is 1,000,000 than 1,000?that is how many groups of 1 thousand are there in 1 million

Answers

1,000,000 is 1,000 times greater then 1,000

Step-by-step explanation:

If you multiply 1,000x1,000 you'll get an answer of 1,000,000

Therefore, 1,000,000 is going to be 1,000 times greater

You bike 4 miles the first day of your​ training, 4.2 miles the second​ day, 4.6 miles the third​ day, and 5.4 miles the fourth day. If you continue this​ pattern, how many miles do you bike the seventh​ day?

Answers

On the seventh day, following the pattern of doubling the increment from the previous day, the biker would bike 16.6 miles.

To determine how many miles will be biked on the seventh day, we need to recognize the pattern in the distances biked each day. Starting with the first day and continuing through the fourth day, we see increases of 0.2 miles, 0.4 miles, and 0.8 miles respectively. It seems that each day, the increment from the previous day doubles.

Day 1: 4 milesDay 2: 4 + 0.2 = 4.2 milesDay 3: 4.2 + 0.4 = 4.6 milesDay 4: 4.6 + 0.8 = 5.4 miles

Following this pattern, the distances for the next three days would be:

Day 5: 5.4 + 1.6 (double of 0.8) = 7 milesDay 6: 7 + 3.2 (double of 1.6) = 10.2 milesDay 7: 10.2 + 6.4 (double of 3.2) = 16.6 miles

Therefore, the biker would bike 16.6 miles on the seventh day of training following this pattern.

Jewel, Tracy, and Sam are friends who jointly own 14 of AB PLC total outstanding shares. AB PLC has a total of 100,000 shares outstanding, and the current share price is $5. At the end of the year, the company's total earnings were $250,000. What is the total value of the shares held by the three friends?

Answers

Answer:

100,000x5=500,000

500,000+250,000=750,000/100,000=7.5

5.0x14= $70

7.5x14= $105

They got $35

Answer:

For everyone in the future who uses this answer site. The person at the bottom with the answer 125,000 is correct. Even though I could not thank you commenter I thank you through this!

Step-by-step explanation:

6/3 + - 1/6 Please help guys!

Answers

Answer:

11/6

Step-by-step explanation:

Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132?

Answers

Answer:

2x+2y=128

Step-by-step explanation:

multiply X by 2 then by 7 + 2 multiply by y and7 after getting whole numbers minus from 132 and add

Last Sunday, the average temperature was 8\%8%8, percent higher than the average temperature two Sundays ago. The average temperature two Sundays ago was TTT degrees Celsius. Which of the following expressions could represent the average temperature last Sunday? Choose 2 answers: Choose 2 answers:

Answers

Answer: The two answers are 1.08T and (1 + [tex]\frac{8}{100}[/tex] )T.

Step-by-step explanation:

Try multiplying 1.08 times any random number. If you use 5,  1.08 times 5 gives you 5.4.  This makes sense. Solve the other other expression as well and substitute T with the SAME number that you used before (5). Hope that helps!

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Law enforcementUME PREVIOUS 1.What is light energy converted from in the bulb of a lamp? electric energy sound energy heat energy 2.Which is the best example of an object that converts electric energy to heat energy? lamp toaster radio 3.Which is evidence of electric energy converted to sound energy? music heard from a radio a song played on a piano applause from an audience My living room is 6m (to the nearest m) by 5m (to the nearest m). What is the maximum and minimum area of my living room? Write your answer as an error interval.Whoever helps I'll give a brainliest x Write a class named Employee that holds the following data about an employee in attributes: name, ID number, department, and job title. Don't include a constructor or any other methods. Once you have written the class, write a program that creates three Employee objects to hold the following data: Name ID Number Department Job Title Susan Meyers 47899 Accounting Vice President Mark Jones 39119 IT Programmer Joy Rogers 81774 Manufacturing Engineering The program should store this data in three Employee objects and then print the data for each employee. If f(x) = x2 2x, find:f(0) = [? ] La felicidadpor Francisco Morn BaosDnde ests felicidad?Lejos o cerca?Si ests lejos ponte cerca;si ests cerca ven a m.Permite que te pregunte,mi amiga felicidad,hacia dnde te encaminas?a los seres con palacios,que hasta botan el dinero?No me digas que te escondesen los seres miserables.Yo s dnde te encuentras:En los pechos de los hombrescon dinero o sin dinero,pero que aman al Seory que buscan exigenteshacer bien a sus hermanos.Dnde ests felicidad?No hace falta que respondas.T me esperas en el cielo.Qu oracin es cierta sobre este poema?El poeta sabe donde encontrar lo alegra.El poeta no sabe donde encontrar la alegra. Please help with this and PLEASE show how you got the answers. Here is some background help down below.#1 Use proportions to find the answer. Write the given ratio on the left, equal sign in the middle, and given number on the right then cross multiply and divide to find the missing value. Remember for #2 the higher ratio will be the greater decimal number. Find the area of a semicircle The coordinates of the vertices of quadrilateral CDEF are C(6, 6), D(6, 8), E(8, 10), and F(10, 8). The figure is rotated 90 about the origin. What are the vertices of the resulting image, Figure CDEF? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.-10, -8, -6, -4, -2, 2, 4, 6, 8,10C( ____ ), D(._____), E(.____ ), F(_____) Employers want workers that provide the _____. 1) highest returns 2)lowest productivity3) fewest references Steam Workshop Downloader