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.

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Related Questions

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

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.

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#SPJ2

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

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.

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!

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

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]

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.

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

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.

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

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 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:

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 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 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.

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

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

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 )

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]

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

Answers

Answer:

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

Percentage change


….

Answers

Answer:

80%

Step-by-step explanation:

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

(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

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

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

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)

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

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