A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a central angle marked 38 degrees and the diameter marked 20 feet. What is the area of the slice of pie that was cut, rounded to the nearest hundredth? 22.08 ft2 13.19 ft2 33.14 ft2 28.97 ft2

Answers

Answer 1

Answer:

33.14 ft^2

Step-by-step explanation:

First find the area of the circle

The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft

A = pi r^2 = pi ( 10)^2 = 100 pi

The central angle is 38

That is a fraction of the circle, which is 360 degrees

38/360 = 19/180

Multiply the fraction of the circle by the area

19/180 * 100 pi

19/9 * 5 pi

Using 3.14 for pi

33.144444

To the nearest hundredth

33.14 ft^2

Answer 2

The area of the slice of pie that was cut, rounded to the nearest hundredth   33.14 ft^2.

We have to first find the area of the circle.

The diameter is 20 ft so the radius is 1/2 of the diameter of

20*1/2 = 10 ft.

What is the area of the circle?

The area of a circle [tex]A = \pi r^2[/tex]

By using the formula we have,

A= pi ( 10)^2

A = 100 pi

The central angle is 38.

That is a fraction of the circle, which is 360 degrees

38/360 = 19/180

Multiply the fraction of the circle by the area

19/180 * 100 pi

19/9 * 5 pi

Using 3.14 for pi

33.144444

To the nearest hundredth, it is 33.14 ft^2.

To learn more about the circle visit:

https://brainly.com/question/24375372


Related Questions

Can anyone explain this to me?

Answers

Answer:

$7, 657

Step-by-step explanation:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

(URGENT PLEASE HELP)

The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?

a) 4
b) -6
c) 6
d) -4

Answers

Answer:

-6

Step-by-step explanation:

A parabola is vertex form is written as

y = a(x-h)^2 +k  where (h,k) is the vertex

Substituting in the vertex

y = a(x-5)^2 +5

We know a point on the parabola so we can find a

-1 = a( 6-5)^2 +5

-1 =a(1)^2+5

-1 = a +5

Subtract 5 from each side

-1-5 = a

-6 =a

A line segment has one endpoint of A (-3,2) and a slope of (-3/5). Find coordinates for B

Answers

Answer:

Step-by-step explanation:

This is a very interesting problem. We are given the slope and one point, which makes this funner than normal ;)

Filling in the slope formula with what we are given:

[tex]-\frac{3}{5}=\frac{y-2}{x-(-3)}[/tex] which simplifies to

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

Since slope is rise over run, the rise number is -3; the run number is 5. That means that the equation to find the y coordinate comes from -3 = y - 2; the equation to find the x coordinate comes from 5 = x + 3 (keep in mind that you could have made the x coordinate the negative one; it doesn't matter. You will get the same answer regardless...promise).

Solving for y:

-3 = y - 2 and

y = -1

Solving for x:

5 = x + 3 and

x = 2

Let's check those coordinates in the slope formula and see if our slope is in fact -3/5:

[tex]m=\frac{-1-2}{2-(-3)}=-\frac{3}{5}[/tex] so we're all good!

The coordinates of B are (2, -1)

Check out this cube: 3 Find the surface area of the cube (above) using its net (below​

Answers

Answer:

54

Step-by-step explanation:

Surface area of a cube = 6a²

Where,

a = edge = 3

Surface area of a cube = 6a²

= 6 * (3)²

= 6 * (3 * 3)

= 6 * 9

= 54

Therefore,

The Surface area of the cube = 54

geometry, trigonometry

Answers

Answer:

Hello

Answer B: 32.58°

Step-by-step explanation:

[tex]sin (\widehat{A})=\dfrac{35}{65} \\\\\widehat{A}=arcsin(\dfrac{7}{13} )=32.5789...^o[/tex]

Find the coefficient of x^4 in the expansion of
(2x+1)^12

Answers

Answer:

7920

Step-by-step explanation:

you can use the binomial theorem obviously but you can also use symbolabs or wolframalpha and just solve it like that.

what is the 13mm = to

Answers

About 1.3 cm or it could be 1.3 cm

y=x²+4x-3 y=5x+3 solve the simultaneous equation​

Answers

Answer:

(-2, -7) or (3, 18)

Step-by-step explanation:

Start with your 2 equations

y = x^2 + 4x - 3

y = 5x + 3

Because both equal y, we substitute:

x^2 +4x -3 = 5x+ 3

x^2 - x - 6 = 0

Factor:

(x + 2) (x - 3) = 0

Solutions for x: -2 or 3 since if either of the numbers in parentheses is 0, the equation is 0 (0* anything = 0).

Then plug -2 in for x in either equation:

y = 5* -2 + 3

y = -7

So ( -2, -7) is a solution.

Plug 3 in for x in either equation:

y = 5*3 + 3

y = 18

So ( 3 , 18) is a solution.

Hope that helps, let me know if I did anything wrong!

Answer:

(- 2, - 7 ) and (3, 18 )

Step-by-step explanation:

Given the 2 equations

y = x² + 4x - 3 → (1)

y = 5x + 3 → (2)

Substitute y = x² + 4x - 3 into (2)

x² + 4x - 3 = 5x + 3 ( subtract 5x + 3 from both sides )

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 3 = 0 ⇒ x = 3

Substitute these values into (2) for corresponding values of y

x = - 2 : y = 5(- 2) + 3 = - 10 + 3 = - 7 ⇒ (- 2, - 7 )

x = 3 : y = 5(3) + 3 = 15 + 3 = 18 ⇒ (3, 18 )

What is the missing angles?

Answers

In a triangle the sum of all angles is 180 degrees. So add 72 and 40 to get 112 degrees. Once you get that, subtract 112 from 180, which is 68 degrees.

Step-by-step explanation:

x = ??

y = 72 + 40 = 112

x =112 - 180

x = 180-112

x = 68

or = 180 - 72 = 108

180 - 40 = 140

140 - 108 = 32

the total cost of the tiles is £68 plus VAT
the rate of VAT is 20%
(b) work out 20% of £52​

Answers

Answer:

a) 81-6

b) 10.4

Step-by-step explanation:

a) assuming that the VAT is 20% of the 68 pounds,

you calculate 120% of 68 (convert percentage to decimal)

= 1,20 * 68 = 81.6 pounds

or

calculate 20% of 68 pounds and add the answer to 68 pounds:

(0.2 * 68) + 68 = 81.6 pounds

b) 20% of 52

first convert the percentage to decimals:

0.2 * 52 = 10.4 pounds

A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.

Answers

Height of parallelogram =12cm

Percentage change


….

Answers

Answer:

80%

Step-by-step explanation:

Change is (45-25)/25*100=(20/25)*100=80%

Which algebraic expression is a difference with two terms?

A. 3y+1
B.-2y+5+3
C. 5y-7
D.5(y-6)

Answers

Answer:

1.

C. 5y -7 is an algebraic expression difference with two terms.

The value of the expression 2x^2/x(100-15x) when x=5 is

Answers

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[tex]2({5}^{2}) \div 5(100 - 5(15))[/tex]

[tex]50 \div 25 \times 5[/tex]

[tex]50 \div 125[/tex]

[tex]2 \div 5[/tex]

What is the equation of a line that passes through the points, (-2, 2) and is parallel to a line with an equation of y = 2x + 5

Answers

Answer:

y = 2x+6

Step-by-step explanation:

y = 2x + 5

This line is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

The slope is 2.  Parallel lines have the same slope

y = 2x+b

Using the given point and substituting it into the equation

2 = 2(-2) +b

2 =-4+b

Add 4 to each side

2+4 = -4+b+4

6 = b

y = 2x+6

Triangle ABC has vertices A(0, 2), B(5, 4), and C(5,0). Triangle A'B'C'has
corresponding vertices A'(-5, -1), B'(0, 1), and C'(0, -3). Which of the following
describes a translation that would produce triangle A'B'C' from the pre-image of
triangle ABC?
A) To the left five units, up three units.
B) To the left five units, down three units.
C) To the right five units, up three units.
D) To the right five units, down three units.

Answers

Answer:

B) To the left five units, down three units

Answer:

( B ) To the left five units, down three units.

Some students were asked how many pens they were carrying in their backpacks. The data is given in this frequency table. What is the mean number of pens carried by these students in their backpacks?

A. 3
B. 3.5
C. 4
D. 4.5

Answers

Answer:

4

Step-by-step explanation:

Mean: the sum of all numbers divided by the amount of numbers

In this case it will be the sum of all frequency divided by the amount of pens

Mean = 5 + 7 + 3 + 5 + 3 + 2 / 6

Mean = 25/6

Mean = 4.16

The mean is approximately 4

The answer is going to be A

2x^3x8x^8= ?
Help plzz

Answers

Answer:

16x^11

Step-by-step explanation:

2x^3 x 8x^8

= 2 x 8 ( x^8 x x^3 )

= 16 ( x ^8 + 3 )

= 16x^11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2x^3\times8x^8}\\\textsf{There arent any like terms so we \underline{do not} have to compare them together}\\\mathsf{= \mathsf{2\times8 \rightarrow \bf 16}}\\\mathsf{= 3+8\rightarrow\bf 11}\\\mathsf{= 16\times x^{11}}\\\mathsf{= \bf 16x^{11}}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 16x}\mathsf{\bf ^{11}}}}\huge\checkmark\\\\\\\large\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

how many metres are there in ½ of ⅕ km​

Answers

Step-by-step explanation:

1/5=1/5×1000=200

1/2 of 200

1/2×200=100

what is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base diameter of 10 feet? Round to the nearest tenths place

Answers

Answer:

Volume of cylinder

= π r² h

3.14 × 5×5×5392.5= 392.9 ft³

OAmalOHopeO

Answer:

The volume of the cylinder would be approximately 392.5 ft^3

Step-by-step explanation:

Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.

The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.

Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.

Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.

Which shows the equation below written in the form ax2 + bx+c = 0?
x*2+7x+ 9 = 3

Answers

Hi!

x² + 7x + 9 = 3

x² + 7x + 9 - 3 = 0

+ 7x + 6 = 0

Answer:

x^2+7x+ 6 = 0

Step-by-step explanation:

x^2+7x+ 9 = 3

Subtract 3 from each side

x^2+7x+ 9-3 = 3-3

x^2+7x+ 6 = 0

Find the number of unique permutations of the word ALGEBRA.

Answers

Answer:

= 2520

Step-by-step explanation:

In 2520 distinct way the letter "ALGEBRA " can be Arranged

I think it's the answer

[tex]\sqrt{x^{2} +2x+2\\}[/tex]

Answers

Answer:

[tex]{ \tt{ \sqrt{ {x}^{2} } + 2x + 2}} \\ { \tt{ = x + 2x + 2}} \\ = { \tt{3x + 2}}[/tex]

Please help me with this question.

Answers

I believe this question is to do with bounds so the LB (lower bound) of 56= 55.5 the LB of 9.2= 9.15
LB= 55.5/9.15= 6.06557377

Simplify 8(x + 1) - 12x (PLS HELP)

Answers

[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]

[tex]\tt8(x + 1) - 12x \\ = \tt8x + 8 \times 1 - 12x \\ = \tt8x + 8 - 12x \\ = \large\boxed{\tt{\color{pink}{ - 4x + 8}}}[/tex]

[tex]\color{pink}{==========================}[/tex]

#CarryOnLearning

[tex] \sf \: 8(x + 1) - 12x \\ = \sf8x + 8 - 12x \\ \sf = 8x - 12x + 8 \\ = \underline{\bf - 4x + 8}[/tex]

Marina correctly simplified the expression , assuming thatHer simplifed expression is below.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\frac{b^{4}}{b^{-3}}=b^{4-(-3)}=b^{4+3}=b^{7}[/tex]

Answer:

7

Step-by-step explanation:

The equation 9 y minus 6 x = 36 is written in standard form. What is the first step when writing an equivalent equation which solves for x? Divide both sides of the equation by 36. Multiply both sides of the equation by 6. Add 9y to both sides of the equation. Subtract 9y from both sides of the equation.

Answers

Answer:

D. Subtract 9y from both sides of the equation.

Step-by-step explanation:

A. Divide both sides of the equation by 36.

B. Multiply both sides of the equation by 6.

C. Add 9y to both sides of the equation.

D. Subtract 9y from both sides of the equation.

Given:

9y - 6x = 36

To solve for x

Step 1: subtract 9y from both sides

9y - 6x - 9y = 36 - 9y

- 6x = 36 - 9y

Step 2: Divide both sides by -6

- 6x / -6 = (36 - 9y) / - 6

x = (36 - 9y) / - 6

The answer is

x = (36 - 9y) / - 6

Answer:

d

Step-by-step explanation:

A recipe for sugar cookies calls for 2 1/2 cups of sugar for 36 cookies. How much sugar would be needed for 48 cookies?

Answers

Answer:

[tex]3 \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{2} }{36} = \frac{x}{48}[/tex]

36x = 5/2 * 48

36x = 120

[tex]x = 3 \frac{1}{3}[/tex]

The amount of sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.

It is given that a recipe of sugar cookies needed [tex]2\frac{1}{2}[/tex] cups of sugar for 36 cookies.

We have to find out the amount of sugar needed for 48 cookies.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Sugar required for 36 cookies = [tex]2\frac{1}{2}[/tex] cups

Sugar required for 1 cookies

=  [tex]2\frac{1}{2}[/tex] ÷ 36 cups

= [tex]\frac{5}{2}[/tex] ÷ 36

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex]

So , the sugar required for 48 cookies will be equal to ;

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex] × 48

= [tex]\frac{240}{72}[/tex]

= [tex]\frac{10}{3}[/tex]

or

[tex]3\frac{1}{3}[/tex] cups

Thus , the sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.

To learn more about unitary methods click here ;

https://brainly.com/question/23580742

#SPJ2

Give the order of symmetry from the fig 3
a)2
b)3
c)6
d)4

Answers

the order of symmetry is three as there are three of each repeated shape

Find f(-2) for f(x) = 2•3^x

Answers

Answer:

2/9

Step-by-step explanation:

f(x) = 2•3^x

Let x = -2

f(-2) = 2•3^-2

We know that a^-b = 1/a^b

f(-2) = 2• 1/3^2

     = 2/9

f(x) = 2 * 3^x

f(-2) = 2 * 3^-2

f(-2) = 2 * 1/3^2

f(-2) = 2 * 1/9

f(-2) = 2/9

Hope this helps!

Other Questions
What statement best explains the impact of the dogsgrowling in this passage?Read the excerpt from chapter 6 of Animal Farm.All the animals remembered passing such resolutions:or at least they thought that they remembered it. Thefour young pigs who had protested when Napoleonabolished the Meetings raised their voices timidly, butthey were promptly silenced by a tremendous growlindfrom the dogs. Then, as usual, the sheep broke into"Four legs good, two legs bad!" and the momentaryawkwardness was smoothed over. Finally Napoleonraised his trotter for silence and announced that hehad already made all the arrangements.It illustrates a growing sense of community amongthe animalsIt reveals new information about Napoleon in a smallamount of text.It highlights the ways in which the animals are beingsilenced and controlled.It shows how Napoleon's leadership has progressedin a short period of time. 3. Ta n hon phin hp s thm khi:A. Ngi yu cu vng mt ln th nht khng c n xin xt x vng mtB. Ngi yu cu c triu tp hp l ln th hai m vn vng mt C. Kim st vin vng mt D. Ngi yu cu vng mt ln th nht c n xin xt x vng mt How can computer be beneficial in agriculture and tourism plssssss help me answer this quickly Background information: In September 1941, this lawwas passed in Germany.Why would Hitler pass a law requiring Jewish people towear a yellow star? Check all that apply.so Jews could be easily identifiedso Jews could be persecutedso Jews could avoid discriminationso Jews could be arrested more easilyso Jews could show pride in their religion In the statements below, V is a vector space. Mark each statement true or false. Justily each answer a. The set R is a two-dimensional subspace of R3.Choose the correct answer below O A. False, because R2 is not closed under vector addition. O B. True, because R2 is a plane in R3 . False, because the set R2 is not even a subset of R3 OD. True, because every vector in R2 can be represented by a linear combination of vectors inR3 b. The number of variables in the equation Ax 0 equa's the dimension of Nul A. Choose the correct answer below O A. False, because the number of free variables is equal to the dimension of Nul A. O B. True, because the number of variables in the equation Ax 0 equals O C. True, because the dimension of Nul A equals the largest any solution to O D. False, because the number of plvot columns is equal to the dimension of Nud A. c. A vector space the number of columns in A and the number of columns in A equa's the dimension of Nul A. number of Os in any solution to the equation Ax -b, and the equation Ax- 0 always has the trivial solution, so the number of variables is infinite-dimensional if it is spanned by an infinite set Choose the correct answer below O A. True, because the dimension of a vector space is equal to the number of elements in a set that spans O B. Faise, because a basis for the vector space may O C. True, because the dimension of a vector space number of O D. Faise, because all vector spaces are finite-dimensional. d. If dim Van and it S spans V, then S is a basis of V. Choose the correct answer below. the vector space. have only finitely many elements, which would make the vector space finite-dimensional is the number of vectors in a basis for that vector space, and a vector space spanned by an infinite set has a basis with an infinite number of vect O A. False, because the set S must have less than n elements O B. True, because if a vector space is finite-dimensional, then a set that spans t is a basis of the vector space O C. False, in order for S to be a basis, it must also have n elements O D. True, because if a set spans a vector space, regardiess of the dimension of the vector space, then that setis a basis of the vector spaoe e. The only three-dimensional subspace of R3 is R3 itself. Choose the correct answer below Faise, because False, because any subspaces of R3 which contain three-element vectors are three-dimensional, but most of these most three-dimensional subspaces of R3 are spanned by a linearly dependent set of tree vectors, but R can only be sparned by thre Inearly independent vectors subspaces do not contain all of R D. True, because any three linearly dependent vectors in R3 span all of R3, so there is no three-dmensional subspace of R' that is not R Please tell me whats the number? please help me in solving this 1. Neither the students nor the teacher ________ come.A. has B have C. is D. are 2 cans of beans cost 98 how many cans can you buy for $3.92? Please help, Ill give brainly!!! Describe two types of storage devices? Please help me. I will mark you as brainliest. how many solutions does the equation below have? 3x-8=-2x+9/3 3. A publishing house is selling subscriptions to its magazines for 20% off the original price. If asubscription to Newsweek Magazine is on sale for $72, how much does it usually cost?]a) $14.40b) $57.60c) $86.40d) $90 which of the following will show tyndall effect ?a. salt solution b. copper sulphate solution c. starch solution d. chalk powder in water What is migrationType of ethnic groups in Ghanaan and some festival they celebrate What is the differences of 6 types kf assessment of learning? Which letter on the diagram below represent a diameter of the circle Plz help........1. -1114 ( - 117) 2. -212 ( -123)3. - 512 58 4. 27 ( -79)