Holly made 12 pair of earrings for each of her girlfriends. To wrap the pairs individually, she creates a simple cardboard gift box to fold into a pyramid. The base is a square with side lengths 10c m. The sides are 4 equilateral triangles with side lengths 10 cm and height h. The height h is approximately 8 2/3 cm. In square centimeters, what is the minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually?

Answers

Answer 1

Answer:

3280cm²

Step-by-step explanation:

We are told the gift box is folded into a Pyramid with a square base.

Hence, we are to find the Surface Area of a square pyramid

From the question, we are given:

Length of the base of the square = 10cm

Triangle

Side length = 10cm

Height = 8 2/3 cm

A square Pyramid has 5 faces: 4 triangles and 1 square.

Step 1

Find the Area of the square

Formula = Side length² this is because all the side of a square is equal.

Length of the base = 10cm

Area of the square = (10cm)²

= 100cm²

Step 2

Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.

Hence, for one triangle.

Area of a triangle = 1/2 × base × height

Base = side length = 10cm

Height = 8 2/3 = 8.6666666667cm

Area of a triangle = 1/2 × 10 × 8.6666666667

Area of a triangle = 43.333333333cm²

Since we have 4 triangles

We would have : 4 × 43.333333333cm²

= 173.33333333cm²

The Area of the 4 equilateral triangles =

173.33333333cm²

Step 3

The Surface area of the Square Pyramid

= Sum of the areas of all the faces.

= 100cm² + 173.33333333cm²

= 273.33333333cm²

Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²

Step 4

The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²

= 3280cm²


Related Questions

Reid's Hardware discounts all riding lawnmowers 6% to customers paying in cash. If Trey paid $1,278.75 in cash for a riding lawnmower, then what was the original price of the lawnmower?

Answers

Answer:

$ 1360.37

Step-by-step explanation:

Suppose we call the original price of the lawnmower x.

That means, to get a discount, the equation would be,

x * 1 -  x * 6% = 1278.75

= (94/100) * x = 1278.75

= (47/50) * x = 1278.75

x = 1278.75 * 47 / 50

= 1360.37

Which of the following equations have infinitely many solutions? Choose all answers that apply:

Answers

Answer:

Options B, C and D.

Step-by-step explanation:

Those are the answers because when you solve the equation, the same values are on both sides of the equation. example option B;

-19x -19 = -19x-19

Add 19 to both sides of the equation to get rid of -19

-19x -19 +19 =-19x -19 +19

Divide both sides by -19

[tex]\frac{-19x}{-19} = \frac{-19x}{-19}[/tex]

x = x

What is James average speed on his outward journey

Answers

Answer:

We wish to find his rate...

km per minute or km per hour:

 

His total time is:  15 + 5 + 20 = 40 minutes

His total distance is 2 km

 

Rate in km/minute:  2/40 = 1/20 = 0.05 km/minute

 

If you want km/hour then:

(0.05 km/minute)(60 minutes/hour) = 3 km/hour or kph

Step-by-step explanation:

James walks 1 km away from home in 15 minutes. He stops and rest for 5 minutes and then walks back home along the same path, but he spent 20 minutes to reach home.

What is the difference between -4 and 6

Answers

[tex]answer = - 10 \\ solution \\ - 4 - 6 \\ = - 10 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

[tex] - 10[/tex]

Step-by-step explanation:

We know that,

[tex]( - ) \times ( + ) = ( - )[/tex]

[tex]( - ) + ( - ) = ( - )[/tex]

Let's solve

[tex] - 4 - ( + 6) \\ - 4 - 6 \\ = - 10[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

"Write an equation that you can use to represent the volume of a square prism. Use b to represent the length and width of the base. Use h to represent the height of the prism. Use espantes if possible. Then explain your answer." Please help I need to turn in this in 10 minutes

Answers

Step-by-step explanation:

A square prism is a cube. The equation that represents the volume of a cube is:

length*width*height

or, in your case, b*b*h

If you are talking about a square-based pyramid, then you use 1/3 * length * width * height or 1/3 * b * b * h. You can use the exponents where needed.

step 1

a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England.
c) If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.

Answers

Answer:

a. 54

b. 9.35

Step-by-step explanation:

a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.

15.34/0.59 = 26

then add it to the number of free songs you downloaded

26 + 28 = 54

b. divide 15.34 by 1.64

15.34/1.64 = 9.35

for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.

Simplify the Expression : -20 - (-5) * (-2^2)

Answers

Answer:

-40

Step-by-step explanation:

-20-(-5)*(-2^2)

- and a - = positive

-2^2 = -4 but if it was (-2)^2 then it would be 4

-20+5*(-4)

order of operations

-20-20

-40

hope this helps

Please help me with my question!!

Answers

Y= 450 only becuase if not it will work

Answer:

Step-by-step explanation:

y = 10x + 50

x ---> no of weeks

y - intercept = 50

I don’t know if this is correct , please help !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

change the negative to not domain and the zero to in domain

Step-by-step explanation

Write a rule for the linear function in the graph

(0, 1) , (5, 3)

Answers

Answer: x = 5, y = 2

Step-by-step explanation

x = 0, x = 5

5 - 0 = 5

y = 1, y = 3

3 - 1 = 2

Please help?

1: The x-intercepts of a quadratic function are -3 and 5. What is the equation of its axis of symmetry?

#2: The solutions to a quadratic equation are x = 2 or x = -3. What are the x-intercepts of the related quadratic function?

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

The axis of symmetry is situated midway between the x- intercepts, thus

x = [tex]\frac{-3+5}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Equation of axis of symmetry is x = 1 → d

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

(2)

The x- intercepts of a quadratic are the solutions, thus

x = 2 and x = - 3 → b

Write a rational expression that simplifies to (x-1)/(x+2), x≠-4, -2

Answers

Answer: [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex] which is the same as [tex]\frac{x^2+3x-4}{x^2+6x+8}[/tex]

If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)

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

Explanation:

We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.

Multiply top and bottom of this given fraction by (x+4) to get [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex]

Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion [tex]x \ne -4[/tex] sticks around to make sure the domains line up properly.

----------

Optionally you can expand out each product in the numerator and denominator to get

(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4

(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8

I used the FOIL rule

So, [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}[/tex]

Please help with this

Answers

Answer:

D

Step-by-step explanation:

By the Pythagorean theorem:

[tex]18^2+24^2=x^2[/tex]

Therefore, answer choice D is correct. Hope this helps!


Which function is graphed on the right?

Answers

There is no picture ; - ;

Answer:

its C

Step-by-step explanation:

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

THANKS FOR GIVING BRAINLIEST.

So we need to first find out f(7)

That would be if you look at the line its -1 on the y.

g(-1) on the line is 1 on x

10*-1+9*1

= -10+9

answer is -1

Answer:

10* f(7) +9* g(-1) = -1

Step-by-step explanation:

f(7) = -1, g(-1) = 1

10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integ

Answers

Slope = 4 but I need to get to 20 characters to reply to this question. Have a nice day
Slope is 4. Smell ya later

Plzzzzzz answer fast I need help

Answers

Answer:2,3,4

Step-by-step explanation:

What is the slope of the line that passes through the points (4,7) and (5,3)?

Answers

in mx+b form i think it would be y= -4+23
where your slope is negative four

I will be showing you the graphing method.

To find the slope of the line using the graphing method,

we start by plotting our two points.

We will call (4,7) point A and (5,3) point B.

Now daw a line that contains these points.

Now remember that the slope or m is equal to the rise/run.

So to get from point A to point B, we rise -4 units

and run 1 unit so our slope is -4/1 or -4.

the transformation shown is a rotation

true or false​

Answers

Answer:

True

Step-by-step explanation:

Please help me with my question!!

Answers

Answer:

B

Step-by-step explanation:

If two lines are parallel, then their slopes are equal.

Line 1: y = 2x + 6

slope = 2

Line 2:

(1 , 5) ; (3,9)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-5}{3-1}\\\\=\frac{4}{2}\\\\=2[/tex]

Slope of line 1 = slope of line 2  = 2

So, line 1 and line 2 are parallel

Use factoring to solve. *

x^2-4x-12=0

please only give me the right answer I really need it

Answers

Answer:
x = 6, -2

Explanation:
x^2 - 4x - 12 = 0
(x - 6)(x + 2) = 0

Answer:

(6, -2)

Step-by-step explanation:

x^2-4x-12=0. 1 from 1x. -4 from -4x

(x - 6)(x + 2) = 0 1 * -12 = -12. -4

x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4

+ 6 +6

x = 6

x + 2 = 0

-2. -2

x = -2

Will give brainliest ! Just need the answer thats all

Answers

Answer:

Brainliest here!

Step-by-step explanation:

for this, its every number thats either 0 or less than 0

B,D,E

Mike's Bikes has mountain bikes that usually sell for $275 on sale for $220. Mike used this ratio to find the percent change. Is he correct? Explain. StartFraction 55 over 220 EndFraction = 25 percent

Answers

Answer:

No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55

55/275 , or 20%.

Step-by-step explanation:

took the test on edg <3

Answer:

SAMPLE RESPONSE :No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55

275

, or 20%.

Step-by-step explanation:

please answer asap! A couple plans to have 5 children. The gender of each child is equally likely. Design a simulation involving 125 trials that you can use to model the genders of the children. Write your answers as numbers.

Answers

Step-by-step explanation:

The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.

Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.

What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.

Doing this 125 times, we obtain the number of trials we desire.

For each trial, we get for each child, C:

C1: X + (X or Y)

C2: X + (X or Y)

C3: X + (X or Y)

C4: X + (X or Y)

C5: X + (X or Y)

Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.

identify the expression as a numerical expression or a variable expression.For variable expression, name the variable 1×12​

Answers

Answer:

o7 fy hk hpxi oyli ifuod pir8

Divide 40 kg in the ratio 3:2.

Answers

Answer:

24:16

Step-by-step explanation:

to find 1 part = 40/5 (you add the total of the ratio: 3+2)

so 8 and then times 8 by 3 and 8 by 2 to get the parts

Answer:

24 and 16

Step-by-step explanation:

First find the number of parts: 3+2 = 5.

then, divide 40 by 5 to find how much is available for each part. This way, you get 8.

Then to find the value for each section of the ration, multiply eight by the corresponding side.

8 x 3 = 24

8 x 2 = 16

Hope this helps.

Please mark brainiest

Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?

6.25x + 7.50 = 26.25

6.25x - 7.50 = 26.25

7.50x + 6.25 = 26.25

7.50x - 6.25 = 26.25

Answers

Answer:

6.25x + 7.50 = 26.25

Step-by-step explanation:

Given that

The admission fee is = $7.50

Each round costs = $6.25

Total money Clara paid = $26.25

The computation of equation can be used to determine the number of rounds, x, that Clara golfs is shown below:-

we assume the number of rounds = x

Here, We can denote this equation in the following form

[tex]6.25x+7.50=26.25[/tex]

Therefore with the help of above equation we can now find out the x value

[tex]6.25x=26.25-7.50[/tex]

[tex]=> 6.25x=18.75[/tex]

[tex]=> x = 3[/tex]

So, Clara played 3 rounds of golf.

Use factoring to solve

2x^2-17x-35=0

Answers

Answer:

This does not factor

Step-by-step explanation:

2x^2-17x-35=0

Since the x^2 has a coefficient of 2

(2x    ) ( x     )

Looking at the factors of -35

-1 35       1, -35

-5   7       5, -7

We need to  get to -17

You cannot factor this

-

Solve the inequality 5(2x + 1) < 10.
A. x < 1/2
B. x > 1/2
C. x < 3/2
D. x > 3/2

Answers

Answer:

A is the answer

Step-by-step explanation:

5(2x+1)<10

10x+5<10

     -5  -5

____________

     10x<5

   ——   —-

    10      10

———————-

    x < 1/2

Answer:

a.x<1/2

Step-by-step explanation:

5(2x+1)<10

2x+1< 5/10

2x+1<2

2x<2−1

2x<1

x< 1/2

mark brianliest if my answer suit your question


What is a reasonable product of 3 9/10× 4 1/5?

Answers

Answer: 16.38

Step-by-step explanation: I had this same math problem a while ago and got it right.

Answer:

hello 55

Step-by-step explanation:

Other Questions
The only variables in the lab procedure are theindependent variable,andthe dependent variable, in this fictional map which elements suggest absolute location How are a members details be checked and verified when they return to log back in to the website ? Inside triangle ABC point O was drawn such that OAB, OBA, OBC, and OCA are all congruent. It is also true that OAC and OCB congruent. Find the angle measures in triangle ABC. PLEASE HELP ME SHOW ME HOW U GOT YOUR ANSWER PLZ AND THANK U Hewitt and Patel are partners, sharing gains and losses equally. They decide to terminate their partnership. Prior to realization, their capital balances are $30,000 and $20,000, respectively. After all noncash assets are sold and all liabilities are paid, there is a cash balance of $38,000. a. What is the amount of a gain or loss on realization Whats the correct answer for this question? Ling is a physiologist. Which would most likely be the main focus of her studies?how atoms bond to form different kinds of matterhow subatomic particles interact and make up atomshow certain molecules affect the function of the human hearthow the structure of the human brain may differ between humans Please can someone help - if social media is a good method instead of protesting then doesnt that just cater to the young generation than the old 18 POINTS OracionesForm sentences using the words provided. Remember to use the present tense andany other necessary words. Follow the model.1. ustedes / practicar / vocabulario2. {preparar (t) / tarea?(blank)3. clase de espaol / terminar l once4. qu / buscar / ustedes?5. (nosotros) buscar / pluma6. (yo) comprar/calculadora 2. On page 25, the author writes that Zion Williamson is "as graceful as a dancerand as powerful as a freight train." This line contains similes that *A. tell you that Williamson is a good dancer.B. help you understand how Williamson moves on the court.C. describe how tall Williamson is.D. tell you that Williamson likes trains. Reliable Gearing currently is all-equity-financed. It has 17,000 shares of equity outstanding, selling at $100 a share. The firm is considering a capital restructuring. The low-debt plan calls for a debt issue of $270,000 with the proceeds used to buy back stock. The high-debt plan would exchange $470,000 of debt for equity. The debt will pay an interest rate of 11%. The firm pays no taxes.Required:a. What will be the debt-to-equity ratio if it borrows $220,000? b. If earnings before interest and tax (EBIT) are $130,000, what will be earnings per share (EPS) if Reliable borrows $220,000?c. What will EPS be if it borrows $420,000? Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface areaof the door to see if she has enough paint.80 cm1200 cm3 cmWhat is the surface area of the door? Which statements are true?If all angles of a quadrilateral are right angles, then the quadrilateral must be a square.Two shapes are similar if and only if their corresponding angles are equal.All quadrilaterals have four sides, and the sum of all angles in a quadrilateral is 180.if the diagonals of a quadrilateral are perpendicular bisectors, then the quadrilateral must be a rhombus.There are three vertices in a triangle, or there are four sides in a pentagon.Any two triangles are either similar or congruent. Find the area and the circumference of a circle with radius 7 cm.Use the value 3.14 for me, and do not round your answers. Be sure to include the correct units in your answers.cm7 cmArea: 0Circumference: 0 What explains the presence in living humans of DNA sections which are identical to DNAfound in Neanderthals who lived 40 000 years ago? OMG HELP MEEERead the sentence and answer the question that follows.Several cute tiny tadpoles darted through the muddy shallow water.For clues about possible places for commas, draw a box around adjectives wherever two or more are together. Using this strategy, which words would be boxed?A. cute, tiny, the, muddy, shallowB. cute, tiny, muddy, shallowC. several, cute, muddy, shallowD. several, cute, tiny, muddy, shallow Write a basic program that performs simple file and mathematical operations. a. Write a program that reads dates from input, one date per line. Each date's format must be as follows: March 1, 1990. Any date not following that format is incorrect and should be ignored. Use the find() method to parse the string and extract the date. The input ends with -1 on a line alone. Output each correct date as: 3/1/1990. b. After the program is working as above, modify the program so that it reads all dates from an input file "inputDates.txt" (an Example file is attached). c. Modify your program further so that after parsing all dates from the input file "inputDates.txt", it writes out the correct ones into an output file called: "parsedDates.txt". Ex: If the input is: March 1, 1990 April 2 1995 7/15/20 December 13, 2003 -1 then the output is: 3/1/1990 12/13/2003 BRAINLIEST WILL BE MARKED(THAT MEANS- 3 EXTRA POINTS) HERE! GRAPHING HELP 101The graph of f(x)=x2 is shown. Use the parabola tool to graph the function g(x)=(1/5x)2.m The 1/5 is a fraction. The graph with the blue highlight is my answer. LET ME KNOW IF MY ANSWER IS RIGHT OR WRONG! ASAP PLEASE AND THANK YOU WILL MARK BRAINLIEST! Jeremy jogged 75 yards from his house to school how many feet did Jeremy jog? Solve this problem any way you choose.