Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the chair free including the bottom​

Akira Receives The Prize At The Science Fair For Having The Most Informative Project Her Trophy Is In

Answers

Answer 1

Answer:

Akira needs 45 square inches of  gold foil to cover the chair free including the bottom​

Step-by-step explanation:

Total surface  =  surface area of the base square + area of 4 triangles

Step 1: The surface area of the base square

surface area of the base = surface area of the square =  [tex]s^2[/tex]

where s is the side length

The the surface area of the base  = [tex]3^2[/tex] = 9 square inches

Step 2: The surface area of the side triangles

The area of the triangle = [tex]\frac{1}{2}\times \text{side length} \times \text{slant height}[/tex]

On substituting the values,

The area of the triangle =[tex]\frac{1}{2} \times 3 \times 6[/tex]

The area of the triangle = [tex]\frac{18}{2}[/tex]

The area of the triangle = 9 square inches

Now the area of 4 triangles  =  4 x 9  = 36 square inches

Thus the total surface area  =  9 + 36 = 45 square inches

Answer 2
Final answer:

The amount of gold foil needed to cover a trophy in the shape of a square pyramid can be calculated using the surface area formula for square pyramids, which considers the base area and the slant height.

Explanation:

To calculate the amount of gold foil needed to cover the trophy, we need to find the surface area of the square pyramid trophy. The surface area of a square pyramid is calculated by the formula: Surface Area = base area + 1/2 * Perimeter of base * slant height. If we know the length of the base (which is a square here), the slant height, we can substitute them into this formula to get the surface area. This is the amount of gold foil Akira used to cover her trophy, assuming the gold foil perfectly fits the trophy shape with no overlap.

Learn more about Surface Area of Square Pyramid here:

https://brainly.com/question/31800864

#SPJ


Related Questions

Which function is a shrink of the exponential growth function shown on the graph?

a. f(x) = 2(3)x
b. f(x) = One-half(3)x
c. f(x) = 2(one-third) Superscript x
d. f(x) = One-half (one-third) Superscript x

Answers

Answer:

Option B

Step-by-step explanation:

The function in the graph is an exponential growth function.

Therefore its equation is [tex]g(x)=3^x[/tex]

A transformation that shrinks this graph is of the form: [tex]f(x)=k*3^x[/tex] where [tex]0\:<\:k\:<\:1[/tex]

From the given options, we must have [tex]k=\frac{1}{2}[/tex]

This implies that:

[tex]f(x)=\frac{1}{2} (3)^x[/tex]

Answer:

B

Step-by-step explanation:

Simplify this please

Answers

let's firstly convert the mixed fractions to improper fractions and then multiply.

[tex]\bf \stackrel{mixed}{5\frac{3}{7}}\implies \cfrac{5\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{38}{7}}~\hfill \stackrel{mixed}{2\frac{2}{7}}\implies \cfrac{2\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{16}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{38}{7}\cdot \cfrac{16}{7}\implies \cfrac{(38)(16)}{(7)(7)}\implies \cfrac{604}{49}\implies 12\frac{20}{49}[/tex]

256 to the nearest 100

Answers

Answer:

300.

Step-by-step explanation:

256 is closer to 300 than it is to 200 so it rounds to 300.

Answer:300

Step-by-step explanation:

State the quadratic formula

Answers

Answer:

Step-by-step explanation:

Wayne's savings to Stef's savings were in the ratio 5:6

After spending $28 each the ratio became 1:4

I need to find wayne's savings BEFORE he spent 28 and Stef's savings AFTER she spent 28

HELP PLEASE TY

Answers

Answer:

a) $30

b) $8

Step-by-step explanation:

Wayne's savings to Stef's savings were in the ratio 5:6.

Let, Wayne's saving is 5x and Stef's saving is 6x.

Now, given that after spending $28 each the ratio became 1:4.

So, we can write the equation as

[tex]\frac{5x - 28}{6x - 28} = \frac{1}{4}[/tex]

⇒ 20x - 112 = 6x - 28

⇒ 14x = 84

x = 6

a) Therefore, Wayne's savings before he spends $28 is $(5 × 6) = $30

b) And, Stef's savings after she spends $28 will be $(6x - 28) = $(6 × 6 - 28) = $8 (Answer)

Four to the power of three times four to the power of negative six is equal to four to the power of five times four to the power of blank

Answers

The blank is -8

Step-by-step explanation:

Let us revise some rules of indices:

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex] [tex]a^{m}[/tex] ÷  [tex]a^{n}[/tex] = [tex]a^{m-n}[/tex] [tex]a^{m}[/tex] =  [tex]a^{n}[/tex] , them m = n

∵ [tex]4^{3}[/tex] × [tex]4^{-6}[/tex] = [tex]4^{5}[/tex] × [tex]4^{x}[/tex]

∵ All bases are equal

∴ Use the first and third rule above to find x

∵  [tex]4^{3}[/tex] × [tex]4^{-6}[/tex] = [tex]4^{3+-6}[/tex]

∴  [tex]4^{3}[/tex] × [tex]4^{-6}[/tex] = [tex]4^{-3}[/tex] ⇒ L.H.S

∵  [tex]4^{5}[/tex] × [tex]4^{x}[/tex] = [tex]4^{5+x}[/tex] ⇒ R.H.S

Equate L.H.S and R.H.S

∴  [tex]4^{-3}[/tex] =  [tex]4^{5+x}[/tex]

Equate the indices of the two sides

∴ -3 = 5 + x

- Subtract 5 from both sides

∴ -8 = x

∵ x represents the blank

∴ The blank = -8

The blank is -8

Learn more:

You can learn more about the indices in brainly.com/question/4419221

#LearnwithBrainly

Four to the power of three times four to the power of negative six is equal to four to the power of five times four to the power of negative eight.

To solve for the missing exponent, we can use the following properties of exponents:

Multiplying exponents with the same base: When multiplying powers with the same base, we add their exponents.

Negative exponents: A number raised to a negative exponent is equal to its reciprocal raised to the positive exponent.

Applying these properties:

4^3 * 4^-6 = 4^(3 - 6) = 4^-3 (since 4^-6 = 1/4^6)

4^5 * 4^x = 4^(5 + x)

Setting these equal to find x:

4^-3 = 4^(5 + x)

Therefore, x = -3 - 5 = -8.

Volunteers for a political campaign gave out 21/38 of their fliers. They gave out the remaining 612 fliers in another neighborhood. What is the total number of fliers they gave out

Answers

Answer:

The total number of fliers they gave out is 1368.

Step-by-step explanation:

Given:

Volunteers for a political campaign gave out 21/38 of their fliers. They gave out the remaining 612 fliers in another neighborhood.

Now, to find the total number of fliers they gave out.

Let the total number of fliers be [tex]x.[/tex]

Number of fliers they gave out for a political campaign:

[tex]\frac{21}{38}\ of\ x[/tex]

[tex]=\frac{21}{38} \times x[/tex]

[tex]=\frac{21x}{38}[/tex]

Number of fliers remaining they gave out in another neighborhood = 612.

Now, to get the total number of fliers by putting an equation:

[tex]x-\frac{21x}{38} =612[/tex]

[tex]\frac{38x-21x}{38} =612[/tex]

[tex]\frac{17x}{38} =612[/tex]

Multiplying both sides by 38 we get:

[tex]17x=23256[/tex]

Dividing both sides by 17 we get:

[tex]x=1368.[/tex]

Therefore, the total number of fliers they gave out is 1368.

BRIA is a rectangle. AN=5. NR=x-3. please solve for x, NR, and BI

Answers

Answer:

x=8

NR=5 units

BI=10 units

Step-by-step explanation:

In  a rectangle BRIA

AN=5 units

NR=x-3

We have to solve for x , NR and BI.

We know that

Diagonals of rectangle bisect to each other.

BI and AR are the diagonals of rectangle BRIA and intersect at point N.

AN=NR

[tex]5=x-3[/tex]

[tex]x=5+3=8[/tex]

[tex]x=8[/tex]

Substitute the value of x

NR=8-3=5

By property of rectangle

BI=AR=AN+NR=5+5=10 unit

BI=10 units

Will earns $98 a week bagging groceries. He saves 80% of what he makes per week and spends the rest on lunches. How much does Will spend each week on lunches

Answers

Answer:

$19.60

Step-by-step explanation:

$98 is made each week.

80% is saved, and the rest is spend on lunch, so 20% is spent on lunch.

20%=.20

98•.20=19.6

$19.60 is spend on lunches each week.

If the equipment is 30% off and the sale price is $315 what percent of the original price are you paying?

Answers

Answer:

Step-by-step explanation:

94 dollars

Answer:

The discount would be $94.50 but the final price would be $220.25.

Hope this helps!

Is 3/9 a function of y Equals 6X

Answers

Answer:

yes

Step-by-step explanation:

well plug it in: y=6x -> y=6(3/9) and solve, yes if theres a slope of 1

wich function represents exponential growth with a growth with a 5% rate of change?

a- f(x) = 4(5)n
b- f(x) = 4(1.05)n
c- f(x)= 4(0.95)n
d- f(x)= 4(0.05)n​

Answers

Answer:the answer is B

Step-by-step explanation:

The function that represents the exponential growth is

f(x) = 4 x [tex]1.05^n[/tex].

Option B is the correct answer.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

An exponential growth function.

Rate of change = 5%

This means,

There is a growth per year of 5%.

The function can be represented as,

f(x) = a [tex](1 +0.05)^n[/tex]

f(x) = a x [tex]1.05^n[/tex]

Where 100% = 1 and 5% = 0.05

Let a = 4

f(x) = 4 x [tex]1.05^n[/tex]

Thus,

The exponential growth function is

f(x) = 4 x [tex]1.05^n[/tex]

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

The area of a circle is 28.26 square kilometers. What is the circles diameter

Answers

Answer:

6km

Step-by-step explanation:

Area of circle = πr²

Where r = radius,  π= 3.14, A = 28.26km²

A = 3.14 x r²

3.14 r2 = 28.26

Divide both sides by 3.14

r²= 28.26/3.14

r² = 9

Square root both sides

r= √9

r= 3

Radius = 3km

Note : Diameter = 2 x radius

Diameter = 3 x 2

Diameter = 6km

I hope this was helpful, Please mark as brainliest.

Will make brainliest if answer correctly

Answers

Answer:

D

Step-by-step explanation:

When Y is a function of X, the graph is a v shape.

2, -10, 50, -250,...

Answers

The answer is 1250

2 x -5 = -10
-10 x -5 = 50
And so on

Answer:

Multiply by 5

-250, 1250

Step-by-step explanation:

2 x -5 = -10

-10 x -5 = 50

50 x -5 = -250

-250 x -5 = 1250

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the same, not including tax?​

Answers

Answer:

$8.60

Step-by-step explanation:

Answer:

$8.60

Step-by-step explanation:

9. Four increased by half of a
number is equal to six.
How do u write it??

Answers

Answer:

4+ x/2 =6

Step-by-step explanation:

Let  the number be X

half of the number is 1/2 multiply X= X/2

Four increased by half the number is 4+X/2

Therefore, Four increased by half of anumber is equal to six is written as

4+ x/2 =6

I do not deed the answers for 11, or 12 just 13
13.
A
B
C
D
E
F
G

Answers

a) ASA congruency

b)SAS congruency

c)SSS congruency

d) Not congruent

Step-by-step explanation:

Step 1:

a)

Angle PRQ = Angle RQS

Angle PRQ = Angle QRS (since PQ is parallel to RS , these form corresponding angles and hence are equal.

QR is the common Side

Hence 2 angles are same and the side which is included are same.Hence the 2 given triangles are congruent.

Step 2 :

b)

Angle IGH = Angle EDF

Side IG = DF and Side GH = DE

Here 2 of the sides of the triangle are same and the Angle which is included are same.

Hence the given triangles are equal

Step 3:

c)

In the given triangles the three sides re equal. Hence as per the side Side Side postulate the triangles are equal.

Step 4:

d) 2 angles are equal but the equal Side is not included and hence the two triangles are not congruent

Janet can read 3.6 pages of a book in a minute. If she read for 2.71 minutes. How much would have she had read

Answers

Final answer:

It would have taken Janet about 9.7536 pages to read..

Explanation:

To determine Janet's reading progress, her reading speed is multiplied by the duration she read. With a reading speed of 3.6 pages per minute, if Janet read for 2.71 minutes, the calculation is 3.6 multiplied by 2.71, resulting in 9.7536. Hence, Janet would have read approximately 9.7536 pages. This calculation showcases how the product of reading speed and time provides a quantitative measure of reading accomplishment. It's a straightforward way to estimate the amount of material covered within a specific timeframe, offering insights into reading efficiency and progress.

In September there were 16 members in the music club. In October the member of members was 24. What was the percent increase?

Answers

Answer:

9%

Step-by-step explanation:

It is simple because you just count to get to 24 and that is the percentage.

Find the number of shaded triangles for each
figure.
First triangle:
Second triangle
Third triangle
Fourth triangle:

Answers

Answer:

1st triangle = 1

2nd triange= 3

3rd triangle = 9

4th triangle = 27

A triangle exists a three-sided polygon with three vertices and three edges. The number of triangles in the given figure exists 1, 3, 9, and 27.

What is a triangle?

A triangle exists a three-sided polygon with three vertices and three edges. It exists one of the major fundamental geometric forms.

The number of shaded triangles in each of the triangles exists shown below, thus, the number of triangles in each triangle can are:

1st triangle = 1

2nd triangle = 3

3rd triangle = 9

4th triangle = 27

Therefore, the number of triangles in the given figure exists 1, 3, 9, and 27.

To learn more about triangle

https://brainly.com/question/27061400

#SPJ2

The population of a town with an initial population
of 75,000 grows at a rate of 3.7% per year. What
will the population be in 5 years? In 10 years?

Answers

Answer:

5 years = 89,940

10 years = 107, 856

Step-by-step explanation:

75000 * 1.037 ^ 5 for the 5 years one

Then do the answer (89940) and times by 1.037 ^ 5. For 10 years

You do it to the power of 5 because you are adding on another 5 years

what is the quotient when (x+3) is divided into the polnomial 2x^2+x-15

Answers

Answer:

2x-5

remainder of 0

Step-by-step explanation:

Check the image

What would be the area?​

Answers

Total area is 102.3 yd²

Step-by-step explanation:

Step 1:

Total area = area of the parallelogram + area of the right triangle

Step 2:

Calculate the area of the parallelogram.

Base = 11 yd, Height = 6.2 yd

⇒ Area of the parallelogram = Base × Height = 11 × 6.2 = 68.2 yd²

Step 3:

Calculate the area of the right triangle.

Height = 6.2 yd, Base = 11 yd (Since opposite sides of a parallelogram are equal)

⇒ Area of the triangle = 1/2 × base × height = 1/2 × 11 × 6.2 = 34.1 yd²

Step 4:

Calculate the total area.

⇒ Total area = 68.2 + 34.1 = 102.3 yd²

Kristin spent 40$ on pampers. If they cost 8$ / package , how many packages did she buy

Answers

Answer:

5 Packages

Step-by-step explanation:

40 / 8 = 5

There are 52 weeks in a year. Ben has lived in london for two fifths of year. How many weeks has ben lived in london?

Answers

Answer:

[tex]\frac{104}{5}[/tex] weeks or [tex]20\frac{4}{5}[/tex] weeks

Step-by-step explanation:

To do this we can set up a proportion

[tex]\frac{52}{1} *\frac{2}{5}[/tex]

This will tell us how many weeks are in 2/5 of a year

Let's evaluate this

[tex]\frac{104}{5}[/tex]

We cannot simplifiy this anymore, so we will leave it as an improper fraction, or a mixed number as shown below

[tex]20\frac{4}{5}[/tex] weeks

[tex]\text{We're trying to find how many weeks Ben has lived in London}\\\\\text{We know that there are 52 weeks in a year}\\\\\text{We also know that he's been in London for 2/5 of a year, or 40\%}\\\\\text{To find your answer, you could multiply 52 by 0.40}\\\\52*0.40= 20.8\\\\\boxed{\text{Ben has been in London for 20.8 weeks}}[/tex]

melinda used 8 cups of sugar when baking cookies for valentines day. Each bath of cookies used 2/9 cup of sugar. Approximately how many batches of cookies did melinda make for valentines day?

Answers

Answer:

36 batches

Step-by-step explanation:

we know that

Each bath of cookies used 2/9 cup of sugar

so

using proportion

Find out how many batches of cookies Melinda makes for 8 cups of sugar

[tex]\frac{1}{(2/9)}\ \frac{bath}{cups}=\frac{x}{8}\ \frac{bath}{cups}\\\\x=8/(2/9)\\\\x=36\ batches[/tex]

I need help please and thank you

Answers

Answer:

∠A = 45°

Step-by-step explanation:

The sum of angles in a triangle = 180°.

That means in the triangle ABC, ∠A + ∠B + ∠C = 180°.

Given ∠B = 90° and ∠C = 45°.

⇒ ∠A + 90° + 45° = 180°

⇒ ∠A = 180 - 90 - 45

∠A = 45° is the required answer.

If 80 inches is equivalent to 44 inches, then 28 inches would be equivalent to what?

Answers

Answer:

Well no cheating not from me

Step-by-step explanation:

y = 5x + 15
y = -5x - 15

Answers

Answer:

5x + 15 = -5x - 15

10x = -30

x = -3

y = 5(-3) + 15 = -15 + 15 = 0

(-3,0)

Step-by-step explanation:

Other Questions
A man attends a public protest and burns an American flag at the event. Members of the public, offended by his action, sue him for his treatment of the flag, saying that this type of behavior is offensive and unacceptable in the public square. What right is at issue in this case?a) Freedom of assemblyb) Freedom of the pressc) Freedom of speech LaVilla is a village in the Italian Alps. Given its enormous popularity among Swiss, German, Austrian, and Italian skiers, all of its beds are always booked in the winter season and there are, on average, 1,200 skiers in the village. On average, skiers stay in LaVilla for 10 days. A. How many new skiers are arriving on average in LaVilla every day? B. A study done by the largest hotel in the village has shown that skiers spend on average $50 per person on the first day and $30 per person on each additional day in local restaurants. The study also forecasts that due to increased hotel prices the average length of stay for the 2014/2015 season will be reduced to five days. What will be the percentage change in revenues of local restaurants compared to last year (when skiers still stayed for 10 days)? Assume that hotels continue to be fully booked! Expert Computers was started in 2018. The company experienced the following accounting events during its first year of operation: 1. Started business when it acquired $40,000 cash from the issue of common stock. 2. Purchased merchandise with a list price of $32,000 on account, terms 2/10, n/30. 3. Paid off one-half of the accounts payable balance within the discount period. 4. Sold merchandise on account for $28,000. Credit terms were 1/20, n/30. The merchandise had cost Expert Computers $16,000. 5. Collected cash from the account receivable within the discount period. 6. Paid $2,100 cash for operating expenses. 7. Paid the balance due on accounts payable. The payment was not made within the discount period. Required: a. What is the amount of gross margin for the period? b. What is the net income for the period? Five-year-old Mary watches while her teacher pours equal amounts of water into two similar glasses. The liquid from one of the glasses is then poured into a tall, thin container, and Mary is asked which contains morethe original glass or the tall, thin container. She says the tall, thin container contains more liquid. According to Jean Piaget, this example illustrates a lack of _______.a. conservationb. object permanencec. egocentrismd. preconventional thoughte. basic trust What is 85 divided by 4? Many conditions other than those that attack the brain tissue directly can also produce symptoms of neurocognitive disorder. These can be either medical conditions or other types of mental disorders. One cause of neurocognitive disorder is the severe interruption of blood flow to the brain known as a? Boden conjectures that in a right triangle, the sine of one acute angle is always equalto the cosine of the other acute angle. Is Boden's conjecture correct? Choose the bestanswer. What common problem affects the client in labor when an external fetal monitor has been applied to her abdomen? S is between B and C. True or false The agricultural revolution took place approximately _____. A. 100 years ago B. 300 years ago C. 100,000 years ago D. 10,000 years ago What role does editorial thinking play in data visualization? Why is it important or not important in your opinion? Why did many rural Americans join the Ku Klux Klan in the 1920S? Careers in this career cluster also include related professional and technical support activities such as production planning and control, maintenance and manufacturing/process engineering.A. TrueB. False A hammer taps on the end of a 4.0-m-long metal bar at room temperature. A microphone at the other end of the bar picks up two pulses of sound, one that travels through the metal and one that travels through the air. The pulses are separated in time by 11.0 ms. 1. What is the speed of sound in this metal? v = 6060 m/s 2.If the bar was twice as long, what would be the time difference? Boss Tweed led Tammany Hall in defrauding New York City taxpayers when building the New York County Courthouse. True False Because our world is increasingly interdependent we must analyze patterns of spatial organiztions on which scalesA.) From high to lowB.) From local to globalC.) From near to far D.) From urban to suburban The fingerlike projections which line the small intestine increase the surface area to maximize absorption and help mix the partially digested chyme with intestinal secretions are:______ Harper went into a movie theater and bought 10 bags of popcorn and 6 drinks,costing a total of $79. Damian went into the same movie theater and bought 3 bags ofpopcorn and 5 drinks, costing a total of $36.50. Write a system of equations thatcould be used to determine the price of each bag of popcorn and the price of eachdrink. Define the variables that you use to write the system. PLEASE ANSWER ASAP!!!! Many ethnic groups have influenced Texas society and Texas culture. Germans were the largest European immigrant group in the 19th century, and their influence is still felt today in the Texas Hill Country. Which of these groups has had the greatest cultural impact on Texas in the 20th century?A. Czechs B.Irish C. African Americans D. Hispanics Is there a triangle that has a greater area than its perimeter?