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

Can someone help me please??

Answers

Answer:

B.

Step-by-step explanation:

It's just y = 2x because if you look the y is two times the x.

in what ways can the graph of a linear function be transformed

Answers

Answer:

Using Transformations

Step-by-step explanation:

Find the equation of the line that is perpendicular to y = -3/4x+1 and contains the point (9,12).

Answers

Answer:

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

Step-by-step explanation:

Perpendicular = m1*m2 = -1

[tex]-\frac{3}{4}*\frac{4}{3} = -1[/tex]

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

[tex]12 = \frac{4}{3}(9)+b\\12 = 12 + b\\b = 0\\y = \frac{4}{3} x+0\\y = \frac{4}{3} x[/tex]

The equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

Given that, the equation of a line [tex]y=\frac{-3}{4}x+1[/tex] and the coordinate point (9, 12).

What is the slope of perpendicular lines?

Slope of a perpendicular line can be computed from the slope of a given line. The product of the slope of a given line and the slope of the perpendicular line is equal to -1. If the slope of a line is m1 and the slope of the perpendicular line is m2, then we have m1.m2 = -1.

From the given equation of a line slope m1=-3/4

The slope perpendicular to equation of line m2 = -1/m1 = 4/3

Now, substitute m=4/3 and (9, 12) in y=mx+c and solve for c.

That is, [tex]12=\frac{4}{3} \times 9 +c[/tex]

⇒ c=0

Put c=0 and m=4/3 in y=mx+c, we get

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

Therefore, the equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

To learn more about the slope intercept form visit:

https://brainly.com/question/24683642.

#SPJ2

What is the 3rd terms of the sequence:
f(1)=-3, f(n)= f(n-1)+5

Answers

Answer:

f(3) = 7

Step-by-step explanation:

Using the recursive formula and f(1) = - 3 , then

f(2) = f(1) + 5 = - 3 + 5 = 2

f(3) = f(2) + 5 = 2 + 5 = 7

Solve the open sentence.
-35n+6 57
ons-9 and ns6
n> 9 and ns 7
On-9 and ns1
ons 3 and ns 7

Answers

Answer:

-9 ≤n ≤1

Step-by-step explanation:

-3 ≤ n+6 ≤ 7

Subtract 6 from all sides

-3  -6≤ n+6-6 ≤ 7-6

-9 ≤n ≤1

14th term of geometric sequence 10,20,40

Answers

Answer: 81920


Explanation: The general formula for nth term in a geometric sequence is an=a1*r^(n-1), where a1 is the first term, r is the common ratio, and n is the position in the term (in this case 14).

To find the common ratio, we can simply divide the next term after the first (20/2=10).

So, an=10*2^(14-1).

After doing the parentheses and multiplication, we have 20^13, which is 81920.

What must be added to each term of the ratio 2:3 so that it may become equal to 4:7

Answers

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

Find the volume of the prism
pls!! show how you got the volume ​

Answers

Answer:

Step-by-step explanation:

The way you can solve this is by splitting the cube into two parts.

Split the top cube apart from the bottom cube and then find the volume of each and add them together.

The first cube on top would be 80x90x75= 540000 centimeters

The second cube would be 270x75x80=1620000 centimeters

540000+1620000=2160000 centimeters

Hope this help!

Comment if you would like a visual drawing of the math!!

(Also the answer can be written as 21600 meters)

what is the sigh of 48 2/9 + (-39 8/9)
Choose 1 answer:
Positive
ON
Negative
Neither positive nor negative-the sum is zero.​

Answers

Answer:

NEGATIVE SIGH

Step-by-step explanation:

The Answer is 24

Answer:

the answer is positive

ill mark u brainliest please help me!

Answers

Answer:

C

Step-by-step explanation:

Line AC is equal to line DF.

Answer: The answer is C

Step-by-step explanation:

The way it is written is very important

it goes

AB is to DE

BC is to EF

AC is to DF

A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish. Order the tanks by volume per fish from least to greatest.

Answers

Answer:

C, A and B

Step-by-step explanation:

Tank A holds 40 Liters and 5 fish.

Volume per fish of Tank A [tex]=40 \div 5 =$ 8 fish per liter[/tex]

Tank B holds 100 Liters and 12 fish.

Volume per fish of Tank B [tex]=100 \div 12 =$ 8.33 fish per liter[/tex]

Tank C holds 180 Liters and 23 fish.

Volume per fish of Tank C [tex]=180 \div 23 =$ 7.83 fish per liter[/tex]

Therefore, the volume per fish from least to greatest is:

7.83, 8 and 8.33

These correspond to the tanks: C, A and B respectively.

Answer:

CAB

Step-by-step explanation:

Got it right in Khan!

Josh practice gymnastics each day after school the data shows the lengths of time josh practiced gymnastics for two weeks
Make a Tally table and line plot to show data

Answers

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer

Make a tally table and line plot to show the data.

Time (in hours)              Tally      Total

[tex]\frac{1}{4}[/tex]                                         //             2

[tex]\frac{1}{2}[/tex]                                         /               1

[tex]\frac{3}{4}[/tex]                                       ///              3

1                                      ////              4

Hope it will find you well.

Find the volume of the pyramid.

Answers

Answer:

140

Step-by-step explanation:

B=35

1/3 (35)(12)

= 140

The 5 players on the basketball team have a mean height of 141 cm. The heights of 4 of the players are listed below. The height of the fifth player is unknown. 137 cm, 150 cm, 144 cm, 149 cm Is the fifth player taller or shorter than 141 centimeters?

Answers

[tex]\frac{137+150+144+149+x}{5} =141[/tex]

[tex]x=125[/tex]

Therefore, the man is shorter than 141 centimeters.

What is the solution set of the quadratic inequality 6x^2+1≤0?

Answers

Answer:

Ss={}

Step-by-step explanation:

6x^2+1<or=0

6x^2<or=-1

x^2<or=-1/6

x<or=root-1/6

There is no number that satisfiey this equation

SS={}

Answer:

no solution

Step-by-step explanation:

help pls!


A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?

show work pls

Answers

Answer:

the probability that the next gumball that comes out will be neither yellow nor blue = 6/17

Step-by-step explanation:

neither yellow nor blue gumball = pink gumball = 6

3 yellow + 8 blue + 6 pink = total =17

16.) The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 adult tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 adult tickets and 5 student tickets. What is the price of the adult and the student ticket?

Answers

Answer:

adult tickets are $8 and student tickets are $14

Step-by-step explanation:

to find the price of adult and student tickets, first look at all the given values:

a = adult tickets

s = student tickets

so: 4a + 5s = 102

and : 7a + 5s = 126

since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:

126-102 = 24

there are 3 more adult tickets in the equation with a total of 126, therefore:

24 / 3 = 8

that means each adult ticket is work 8 dollars.

now substitute this value:

4(8) + 5s = 102

32 + 5s = 102

you can solve this by concluding that 102- 32 is 70

that means 5(s) has to equal 70

so 70 / 5 = s

70/5 = 14

so the value of s = 14 and the value of a = 8

What is the value of n in the equation (2n + 4) + 6 = -9 + 4(2n + 1)?
n =
the answer is just 1.

Answers

Answer:

n=2.5

Step-by-step explanation:

(2n + 4) + 6 = -9 + 4(2n + 1)2n+10=-9+8n+42n+10=8n-58n-2n= 10+56n=15n=15/6n=2.5

Answer:

The answer is 1.

Step-by-step explanation:

I'M BEING TIMED HELP
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

Answers

Answer:

acceleration = 9.8 m/s^2

Step-by-step explanation:

The problem expects the user to do the rate of change between any two pairs of (time, velocity) from the table, and see that they all render the same value. Notice as well that the rate of change of a difference in velocities divided a difference in time, will render units of acceleration (in this case [tex]\frac{m}{s^2}[/tex]

Let's use for example (0 s ,0 m/s) and the following point: (1 s, 9.8 m/s)

the rate of change is: [tex]acceleration= \frac{9.8-0}{1-0} \frac{m}{s^2} =9.8 \, \frac{m}{s^2}[/tex]

In fact you can use any two pairs of the table, and will get the same result.

So this is the acceleration is [tex]9.8 \, \frac{m}{s^2}[/tex]

The acceleration due to gravity is 9.8 m/s^2.

Use the x-intercept method to find all real solutions of the equation.
x^3- 7x2 + 7x + 15 = 0

a. X = -1, 3, or -5
b. x= 1, -3, or -5
c. X = -1, 3, or 5
d. X = 1, -3, or 5

Answers

I believe it is C. X=-1,3,5

A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is black? Give your answer as a fraction in lowest terms.

Please help!!!

Answers

Answer:

1/4

Step-by-step explanation:

there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4

The following data shows prices of meal options at Bob's Burgers. Bob
wants to construct a histogram from this graph. Prices of Meal Options at
Bob's Burgers: $6, $7, $7, $8,$9,$10, $10, $11, $11, $12,$12, $13, $13, $13,
$13,$14, $14, $14, $15, $15, $15, $15, $16, $16, $17. How many meals could
belong in the interval $10.99 - $13.99? *

Answers

Answer:

Step-by-step explanation:

The number of meals that could

belong in the interval $10.99 - $13.99 is represents the frequency of that interval. The interval is also called the class width. Since there are no decimals, the meals must be greater than or equal to $11 and lesser than $14. Looking at the data, the meals that fall within the interval are

$11, $11, $12,$12, $13, $13, $13,$13

The frequency is 8

Therefore, 8 meals could

belong in the interval $10.99 - $13.99

Daily Brainliest #1 - Needs to be correct / First correct person to answer simple explanation gets today's brainliest
(2+5)×(8+5)

Answers

Answer:

91

Step-by-step explanation:

(2 + 5)(8 +5)

2 + 5 = 7

8 + 5 = 13

7 * 13 = 91

Ryan got $25 for his birthday. His dad told him not to spend it all in one place, so he wants to divide it up evenly between 5 candy stores. How much money can Ryan spend in each store, if he spends all of his birthday money?

Answers

Answer:

5

Step-by-step explanation:

When you divide 25/5 the answer is 5 dollars per store

Answer:

5

Step-by-step explanation:

25 divided by 5 is 5

he spends 5 in each store

find the value of trig function indicated, use Pythagorean theorem to find the third side if you need it. Part 4​

Answers

Answer:

[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]

Step-by-step explanation:

A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)

According to the trigonometric properties:

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

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

[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]

[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]

[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]

[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]

Use the above formulas with corresponding sides:

[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]

[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]

[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]

[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]

Hope this helps!

:)

Q.4 a) If a= x+y and b= x-y , show that I) (a+b)²= 4x² ii) ( a-b)²= 4y²​

Answers

Answer:

Below.

Step-by-step explanation:

i) (a + b)^2 = a^2 + 2ab + b^2

= (x + y)^2 + 2(x + y)(x - y) + (x - y)^2

=  x^2 + 2xy + y^2 + 2(x^2 - y^2) + x^2 - 2xy + y^2

=  x^2 + 2x^2 + x^2 + y^2 - 2y^2 + y^2 + 2xy - 2xy

= 4x^2.

ii) (a - b)^2 = a^2 + b^2 - 2ab

=  (x + y)^2 + (x - y)^2 - 2 - 2(x^2 - y^2)

= x^2 + 2xy + y^2 + x^2 - 2xy + y^2 - 2x^2 + 2y^2

=  x^2 + x^2 - 2x^2 + y^2 + y^2 + 2y^2 + 2xy - 2xy

=  4y^2.

what is 222 times 5

no explanation please

Answers

Answer:

1110

Step-by-step explanation:

Hey there!

222 multiplied by 5 is 1110.

You can also use a calculator to find that out haha!

Have a wonderful day!

Tim has to cover 3 tanks completley with paint. ​

Answers

answer:

Total surface area of 3 tanks=34.3 m^27 tins of paint are required.

Solution,

diameter of tank=1.4 m

Height of tank=1.9 m

Given tank has top and bottom

Now, The total surface area of cylinder tank is given by:

[tex]tsa = 2\pi \: {r}^{2} + (2\pi \: r \: ) \times h[/tex]

r( radius of tank)=

[tex] \frac{diameter}{2} = \frac{1.4}{2} = 0.7 \: m[/tex]

h(height of tank)=1.9 m

TSA of 1 tank

=

[tex]2 \times 3.14 \times {(0.7)}^{2} + 2 \times 3.14 \times 0.7 \times 1.9 \\ = 11.435 \: {m}^{2} [/tex]

TSA Of 3 tanks

=

[tex]3 \times 11.435 \: {m}^{2} \\ = 34.3 \: {m}^{2} [/tex]

Given a tin of plate covers 5m^2 area.

No.of tins required:

1 tin 5m^2

x tin 34.3 m^2

[tex]5x = 34.3(cross \: multiplication) \\ or \: x = \frac{34.3}{5} \\ x = 6.86 \\ x = 7 \: tins[/tex]

therefore 7 tins are required.

Hope this helps...

Good luck on your assignment....

Given f(x) = -x – 4, solve for x when f(x) = 6.​

Answers

Answer:

-10

Step-by-step explanation:

6=-x-4           plug in 6 for f(x)

10=-x             add 4 to both sides in order to cancel out the -4

-10=x             multiple each side by -1 to make the x positive

What is the length of the leg of a right triangle if one leg is 4 and the hypotenuse is 5?

a.25
b.3
c.16
d.9

Answers

Answer: B. 3

Step-by-step explanation:

4^2 + b^2 =5^2

16 + b^2= 25

-16            -16

b^2 = 9

[tex]\sqrt{9} =3[/tex]  

Other Questions
What is one difference in the Walt Whitman and Emily Dickinson poems you read?A. Whitman turns to nature for inspiration, whereas Dickinson turns to the city.B. Whitman uses personification, whereas Dickinson avoids figurative language.C. Dickinson's poems are usually four lines, whereas Whitman's are much longer.D. Dickinson's poems are sound song like, whereas Whitman's sound conversational I need help plzzzzzz Determine which equation has the same solutions as the equation below.4x^2 + 32x 28 = 0A.) (x + 4)^2 = 23B.) 4(x + 4)^2 = 36C.) 4(x + 8)^2 = 28D.) (x + 8)^2 = 57 Given the equations below what is the value of n/m? m-6(n+2)=-8 6n+m=16 (12 /`15) (25/ 16) = A new operating system uses passwords that consist of three characters. Each character must be a digit between 0 and 9. For example, three distinct possible passwords are 123, 416, and 999. The system uses 32-bit salt values. The system also allows one login attempt every second and never locks out users regardless of how many failed attempts occur. If an adversary has obtained a copy of the password file and conducts an offline brute-force attack by trying every password combination until the adversary obtains username and password combination. The use of a 32-bit salt value An object, with mass 70 kg and speed 21 m/s relative to an observer, explodes into two pieces, one 4 times as massive as the other; the explosion takes place in deep space. The less massive piece stops relative to the observer. How much kinetic energy is added to the system during the explosion, as measured in the observer's reference frame Write a paragraph on one of them (word limit 120-150) i)wedding in my family ii)my grandmother iii)A visit to a historical place What are the two systems to tell time? in Spanish PLEASE HELPWhat is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)xy23456789Initial value: 1, rate of change: 2Initial value: 1, rate of change: 1Initial value: 2, rate of change: 2Initial value: 3, rate of change: 2 You are hiking in a forest and come upon a mysterious plant, which you determine is either a lycophyte sporophyte or a pterophyte sporophyte. Which of the following would be most helpful in determining the correct classification of the plant?A) whether or not it has true leavesB) whether it has microphylls or megaphyllsC) whether or not it has seeds Which rule represents the translation from he pre-image, ABCD, to the image, ABCD? Why is Private Property the most goverment regulation? (1). An Aeroplane leaves an airport, flies due North for 2 hrs at 500km/h. It then flies on a bearing of 053 degree at 300km/h for 90 mins. How far is the plane from the airport correct to 1 dp *(2). Find the bearing of the plane from the Airport correct to 1 dp. *(3). If it takes the Aeroplane 150 mins to fly back to the airport. Find the average speed of the aeroplane for the whole flight correct to 1dp. * What did Hitler achieve by the Anschluss? and Why did Hitler want to take over Czechoslovakia? Find the area of the shape shown below.24258units?HELP a linear function has the same y-intercept as x + 4y= 8 and its graph contains the point (6,3). what is the y intercept? An ideal gaseous reaction occurs at a constant pressure of 35.0 atm and releases 66.8 kJ of heat. Before the reaction, the volume of the system was 8.20 L. After the reaction, the volume of the system was 2.21 L. Calculate the total change in internal energy for the system. Enter your answer numerically in units of kJ. Solve the inequality.-3(x-1) > -3x - 2 Someone just give answer, no need to explain!