imagine that you are in an argument with a friend about the size of the slice of pizza you were both served. your friend says that it was unfair because you got a bigger piece what information would you need to know about each slice of pizza in order to calculate which one had a larger area? explain.

Answers

Answer 1

We need to know the Angle subtended by the slice at the center of the pizza i.e. Θ, Radius of the pizza i.e. r about each slice of pizza in order to calculate which one had a larger area.

What is area ?

Area is defined as the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of sector [tex]=\frac{\theta}{360}\pi r^2[/tex]

Here,

Θ = angle subtended by the arc at the center.

We have,

Slice of pizza,

So,

As per the mentioned formula,

we need to know,

Angle subtended by the slice at the center of the pizza.Radius of the pizza.

So, that we can calculate the area of the slice or pizza.

i.e.

Area of slice [tex]=\frac{\theta}{360}\pi r^2[/tex]

Hence, , we can say that the We need to know the Angle subtended by the slice at the center of the pizza i.e. Θ, Radius of the pizza i.e. r about each slice of pizza in order to calculate which one had a larger area.

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Related Questions

Jackson is making lemonade for a class party tablespoons of lemonade mix for 6 oz of water he wants to make four quarters of lemonade how much lemonade makes does Jackson need​

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Answer:

can u ask him to make some for me too? thx!

Step-by-step explanation:

why is -25 divided by -5 five

Answers

A negative number divided by a negative number equals a positive number

Answer:

-25/-5

subtraction sign will eliminate each other

and 5 divided by 25 is 5

therefore -25/-5=5

The area of 4 walls and ceiling of a room is 118m. I the room is 6m long and 5m wide , how high is the room?​

Answers

Step-by-step explanation:

Area of 4walls and celling of a room=2h(l+b)

118=2h(6+5)118=2h×11h=118/22h=5.36m

hope it helps.

Answer:

ANLAMADIM SORUYU NE SORUYORSUN

What is the slope of the line graphed below?

Answers

The slope is 2. Use the slope formula (Y2-Y1/X2-X1) to find it, or count the rise over run.
2!!!
Party that math class up

Mike bought a bottle of gatorade for $1
and some granola bars for $2.50
each. How many granola bars did he
buy if he spent $11 total?

Answers

Answer:

4 granola bars

Step-by-step explanation:

x is the number of granola bars

1 + 2.5x = 11

2.5x = 10

x = 4

Transformations that would map figure w onto figure x.

Is my answer right?

Answers

Answer:

Wrong

Step-by-step explanation:

I think its 180° clockwise and 5 units down

But im not so sure check it first

Can anyone help me with this question ?

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Answer:

pa answer Lang ako KC nag bibigay ako NG points

Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he

needs to sell, x, to make at least $220 in one week.

Select all the inequalities that represent this situation.

$50 + 5x <$220

$50 + 5x > $220

5x> $220 - $50

5x < $220 - $50

er

Answers

Answer:

$50 + 5x > $220

5x> $220 - $50

The area of a square garden is 49 yd2. How long is each side of the​ garden? in yd.
please this is important

Answers

Answer:

Yo, check this out, S=a×a=a², the formula to find the area of a square.

Step-by-step explanation:

S=49 yd²

S=a×a=a²

a²=49===> √a²=√49 yd²===> |a|=7 yd===> a=7, –7

but be aware that we ain't got no squares with a negative length, so the answer is

7 yd

Find the value of x. Round your answer to the nearest tenth.

Answers

That's a question about the Pythagorean Theorem.

We use the Pythagorean Theorem to find the value of one side in a right triangle.

This theorem says that:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

a is the hypotenuse (It's the opposite side the right angle).b and c are cathetus (They're the adjacent sides the right angle).

Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of x (the hypotenuse). Let's change this information in that formula.

[tex]a^2 = b^2 + c^2\\x^2 = 10^2 + 7^2\\x^2 = 100 + 49\\x^2 = 149\\x = \sqrt{149}[/tex]

Therefore, the value of x is [tex]\sqrt{149}[/tex].

I hope I've helped. :D

Enjoy your studies! \o/

I need help on this fast!

Answers

Answer:

9100x < 28000

Step-by-step explanation:

Hope this helps! :D

HELP ASAP THIS IS DUE IN 5 MINUTES

Answers

Answer:

25.5 m

Step-by-step explanation:

solve for the area of the triangle and the rectangle separately, then add the values together.

If ab = 9 and a² + b² = 81, then (a+b)² = ?​

Answers

Answer:

99

Step-by-step explanation:

Through some clever algebra, we can combine our first two equations using the fact that

[tex](a+b)^2=a^2+2ab+b^2[/tex]

We have the a² and the b² in the equation [tex]a^2+b^2=81[/tex], and we almost have a 2ab in the equation [tex]ab=9[/tex]. To get that 2ab, we can simply double both sides of the first equation to get [tex]2ab=18[/tex]. From there, we'll add the first two equations together, giving us the summed equation

[tex]a^2+b^2+2ab=81+18\\a^2+2ab+b^2=99[/tex]

And since [tex](a+b)^2=a^2+2ab+b^2[/tex], we can equivalently say that

[tex](a+b)^2=99[/tex]

Jenna used 3¼ cups of butter for her secret sugar cookie recipe. Her recipe bakes 18 cookies. If she needs to bake 45 cookies for her school’s bake sale, how many cups of butter should she use?

Answers

Answer:

well, 45/18 = 2.5

So she will need 2.5 as much of everything in her recipe

what is 2.5*(3 1/4) ?

do it as 2.5*3.25 or (5/2)(13/4)

Step-by-step explanation:

Please help me! Question is on image below.





Yo peeps Baby yoda is so cute!

Answers

Answer:

c = 26 cm

Step-by-step explanation:

using the Pythagorean theorem:

10² + 24² = c²

c² = 100 + 576  = 676

c = 26 cm

100 points! Mhanifa please help. Look at the picture attached. I will mark brainliest!

Answers

Answer:

BC=54

m<KJL=22°

Step-by-step explanation:

6x=9x-27

27=3x

x=9

9(9)-27=54

BC=54

4x+6=3x+10

x=4

4(4)+6=22

m<KJL=22°

Answer:

BC = 54 unitsm∠KJL =  22°

Step-by-step explanation:

BD is the perpendicular bisector of AC because AD = DC and DB⊥AC, therefore AB = BC

6x = 9x - 279x - 6x = 273x = 27x = 9

BC = 9x - 27 = 9*9 - 27 = 81 - 27 = 54

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

JL is angle bisector of KJM, because KL = ML and  KL⊥JK & ML⊥JM, therefore

m∠KJL = m∠MJL4x + 6 = 3x + 104x - 3x = 10 - 6x = 4

m∠KJL = 4*4° + 6 = 22°

Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishaan was 3 times as old as Christopher.
How old is Christopher now?

Answers

Answer: Yw :^

Step-by-step explanation: Present: Ishaan = Christopher + 20       - Equation 1

1 years back: Ishaan-14 = 3(Christopher-14)    - Equation 2

 

Solve above equations:

 

I = 3c-42+14

I = 3c-24

I = c+20

 

2c-44 = 0

 

Christopher = 22  then from Equation 1

Ishaan = 22 + 20 = 42

ANSWER PLSSS 65 POINTS

Answers

Answer:

[tex]\Huge\boxed{76}[/tex]

Step-by-step explanation:

Hello There!

The first thing we want to do is find the proportional relationship between to two triangles

The smaller triangles longest side is 18

Given the longest side of the similar triangle we can divide the longest side of the preimage by the longest side of the similar triangle

So the proportional relationship would be

36/18 or 2

Our next step is to find the the sides of the similar triangle

To do so we multiply the sides of the preimage by 2 (because 2 is the proportional relationship between the two triangles)

12x2=24

8x2=16

and we already know that the longest side measures 36

Now we can find the perimeter by adding all of the side lengths

36+24+16 = 76

So we can conclude that the perimeter of the dilated image is 76

The perimeter of the dilated triangle is 81.

Evaluate the function if f(x)=x²-2x+1. Find f(-1+√2)

Can someone help me please?​

Answers

Answer:

6 - 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

To evaluate, substitute x = - 1 + [tex]\sqrt{2}[/tex] into f(x)

f(- 1 + [tex]\sqrt{2}[/tex] )

= (- 1 + [tex]\sqrt{2}[/tex] )² - 2(- 1 + [tex]\sqrt{2}[/tex] ) + 1 ← expand squared factor using FOIL

= 1 - 2[tex]\sqrt{2}[/tex] + 2 + 2 - 2[tex]\sqrt{2}[/tex] + 1 ← collect like terms

= 6 - 4[tex]\sqrt{2}[/tex]

what is 3/4 divided by 1/4

Answers

Answer:

This is your answer ☺️☺️☺️

Answer:3

Step-by-step explanation: you just divide them up

Amy bought a diamond ring for $6,000. If the value
of the ring increases at a constant rate of 5.8% per
year, how long will it take for the ring to be worth
$19,000?
Show work

Answers

Answer: $13,308

5.8% of 6000 is 348. 348 times 21 is $7,308. add 6,000 to 7,308 and you get $13,308

Step-by-step explanation: amy likes cheap rings LOL

Answer:

54 3/4 years

Step-by-step explanation:

5.8% of 6,000= 348

348x54 3/4=19,053

hope it helps!

6 m
5 m
3 m
Find the area of this figure. Round your
answer to the nearest hundredth.
Use 3.14 to approximate a.
A = [?] m2
Notice that only half of the circle is included in the figure!

Answers

Answer:

51.63m^3

Step-by-step explanation:

The figure is made up of a rectangle, triangle and a semi circle

Area of the figure = Area of triangle + rectangle + semicircle

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 3 * 5

Area of the triangle = 15/2

Area of the triangle = 7.5m^3

Area of the rectangle = Length * Width

Area of the rectangle = 6 * 5

Area of the rectangle = 30m^2

Area of the semicircle = πr²/2

Area of the semicircle = π(3)²/2

Area of the semicircle = 3.14(9)/2

Area of the semicircle = 3.14 * 4.5

Area of the semicircle = 14.13m^2

The area = 30 + 14.13+7.5

Area of the figure = 51.63m^3

Answer:

51.63m²

Step-by-step explanation:

Jamal has some counters in a bag.
36% of the counters are red
the rest of the counters are yellow
Jamal puts 50 blue counters into the bag.
Now 25% of the counters in the bag are blue.
Work out the number of yellow counters in the bag.
(3 marks)

Answers

Since he put 50 blue which form 25% then the total number of flags is 200 flag so the yellow have 39% of the flags which are 78 yellow flag

The number of yellow counters in the bag Jamal has got for this case is obtained being 96

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given that:

The bag initially had 36% of red counters and rest of the counters being yellow in color.Later was added 50 blue counters.The number of blue counter in the bag is 25% of all the counters in the bag.

Let the initial number of counters in the bag be 'x'

Then, 36% of x is:

[tex]\text{Number of red counters} = \dfrac{x}{100} \times 36 = 0.36 \times x[/tex]

Rest of them are yellow, so we get:

[tex]\text{Number of yellow counters} = x - \dfrac{x}{100} \times 36 = x(1-0.36) = 0.64 \times x[/tex]

Now, adding 50 blue counters make:

Total count of counters in bag = [tex]x + 50[/tex]

25% of this count is blue, and we know its 50. Thus, we get:
25% of (x+50) = 50

or

[tex]\dfrac{x+50}{100} \times 25 =50\\\\x+50 = 4 \times 50\\\\x = 200-50 = 150[/tex]

Thus, there were 150 coutners in the bag, initially.

The number of yellow counters is:

[tex]\text{Number of yellow counters} = 0.64 \times x = 0.64 \times 150 = 96[/tex]

Thus, the number of yellow counters in the bag Jamal has got for this case is obtained being 96

Learn more about percent here:

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Steven determined that this data set is modeled well by y= -3/4x+8.


Which statement is true about the slope of the model?


A) For every 3-unit increase in x, y increases by 4 units.

B) For every 4-unit increase in x, y increases by 3 units.

C)
For every 3-unit decrease in x, y increases by 4 units.

D) For every 4-unit decrease in x, y increases by 3 units.

Answers

Answer:

C

Step-by-step explanation:

is water wet? genuine question here. i wanna see sum.

Answers

Answer:

Only on the surface

Step-by-step explanation:

The problem is that you can't get out of the water without passing through the surface.

X + 8 > 8
plz help and plz hurry
if right you will get brain list

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Answer:

x > 0

Step-by-step explanation:

Given

x + 8 > 8 ( subtract 8 from both sides )

x > 0

x-y=12 solve each system

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Answer:

x-y-12=0

Step-by-step explanation:

x-y-12=12-12

x-y-12=0

HELPPP PLSSS
What is the value of t in this equation?
= y*
(12)

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Answer: 60.

Step-by-step explanation:

Multiply -12 and -5, ignore j.

-12 * -5 = 60.

t = 60

find the value (-8)+(+14)​

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The answer is: “(+6)”

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Step-by-step explanation:

10). 80-b

11). 25<n

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