Several cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height. Tyler bought a wedge. He measured the arc length of the wedge to be 12 cm and the radius to be 8 cm. Priya bought a wedge that came from a circular cheese block with radius 9 cm. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.

Answers

Answer 1

Tyler's wedge is larger

The arc length of Priya's wedge is only 9.42, and Tyler's is 12

Answer 2

Tayler's wedge is larger.

What is arc length?

"Arc length is the distance along the part of the circumference of any circle."

Formula to calculate the circumference of a circle:

S = 2 × π × r

where, r is the radius of the radius of a circle

In this question,

Tyler bought a wedge shaped cheese with arc length 12 cm and radius 8 cm.

Priya bought a wedge that came from a circular cheese block with radius 9 cm and the block was cut into 6 congruent sectors.

The circumference of circular cheese block with radius 9 cm would be,

⇒ s = 2 × π × 9

⇒ s = 18π cm

Since, the block was cut into 6 congruent sectors.

The arc length of each block would be, 18π / 6 = 3π cm

That is, 9.43 cm

Since 12 > 9.43, Tayler's wedge is larger.

Learn more about arc length here:

https://brainly.com/question/23856381

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Related Questions

AB is tangent to circle at B. Find x.

Answers

Answer:

x = 6

Step-by-step explanation:

using the Pythagorean theorem:

(4 + x)² = 8² + x²

16 + 8x + x² = 64 + x²

subtract x² and 16 from each side of the equation:

8x = 48

divide both sides by 8:

x = 6

what is the distance between (7, 8) and (-8, 0) on the coordinate grid?

Answers

Answer: Are you asking for slope?

Step-by-step explanation:

8-0 = 8

7-(-8) = 15

8/15

Miss McIntosh leaves a $6.75 tip for her waiter. If her tip was 20% of the cost of her meal, what was the cost of her meal?

Answers

Answer: 72$

Step-by-step explanation:

because

Please hurry, this is past due!

A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.

A.The perimeter
B.The sides
C.The angles
D.The area
E.The vertices

Answers

D. The answer is area

Sydney currently earns 11.50 an hour working part time. What is the minimum increase per hour she needs to at least match the average annual rate of inflation at three percent

Answers

Answer:

The salary of Sydney to meet the loss due to inflation should be 11.85 per hour

Step-by-step explanation:

The inflation rate is 3%

This means that the alary amount will reduce by 3%.

3% of Sydney's hourly salary is

[tex]\frac{3}{100} *11.50[/tex] = 0.345

Hence, the new salary must increase by 0.345 dollar per hour

The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85

(WILL GIVE BRAINLIEST)What is the total surface area of a rectangular block whose
length, width, and height are 12, 10, and 4 respectively?
ANSWER CHOICES:
480
416
208
104

Answers

Answer:

480

please mark brainliest

Well when you find the surface area of a rectangular prism you must use this formula: SA=2lw+2lh+2wh. Key: l= length h=height w=width. So in this case you can write the formula out like this: SA=2x120+2x48+2x40. So just multiply all of of those and you will get the correct answer. If you have any questions let me know. (It is not the same answer as the first person said) it would be helpful if you marked this brainliest!

Calculate the volume of a cylinder of diameter 6cm and height 10cm

Answers

Answer:

565.2

Step-by-step explanation:

565.2

Performin' just like my 'Rari
You're too fine, need a ticket
I bet you taste expensive
Pouring up, up, up by the liter
If you keepin' up you's a keeper
Tequila and vodka
Girl, you might be a problem
Run away, run away, run away, run away
I know that I should
But my heart wanna stay, wanna stay, wanna stay, wanna stay now
You can see it in my eyes that I wanna take you down right now if I could
So I hope you know what I mean when I say
Let me take you dancing
Two-step to the bedroom
We don't need no dance floor
Let me see your best move
Anything could happen
Ever since I met you
No need to imagine
Baby, all I'm asking
let me taking you dancing

Answers

Answer: wow

Step-by-step explanation:

Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.

Answers

Answer:

B

Step-by-step explanation:

We can determine the total miles run by the 10 students by adding all the miles run by each individual student:

A

1 student * 1/12 miles = 1/12 miles

2 students * 1/8 miles = 2/8 miles = 1/4 miles

1 student * 1/6 miles = 1/6 miles

2 students * 1/4 miles = 2/4 miles = 1/2 miles

1 student * 1/3 miles = 1/3 miles

3 students * 1/2 miles = 3/2 miles

We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.

B

2 students * 1/6 miles = 1/3 miles

2 students * 1/4 miles = 1/2 miles

2 students * 1/3 miles = 2/3 miles

3 students * 1/2 miles = 3/2 miles

1 student * 1 mile = 1 mile

We add all these fractions to obtain 4 miles, which is as the question describes.

1. Find the surface area of the prism.

2. Find the volume of the pyramid.

Answers

Answer:

1. surface area is 280 2. 144

Step-by-step explanation:

please mark as brainliest if correct

thank you

Amber wants to go to a university where the tuition is $7500 per year. She has a scholarship that pays for 50% of his tuition. Her parents have given her $2000 toward her first year's tuition. How much money does Amber need to save to be able pay for first year of her college?

Answers

Answer:

1750

Step-by-step explanation:

divide 7500 by 2 and you get 3750

3750-2000=answer

Answer:

1750

Step-by-step explanation:

7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.

3750-2000=1750 needed to save.

What is the equation for -19 = b - 6

Answers

Answer:-13=b, b=-13

Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13

Answer:

[tex]b=-13[/tex]

Step-by-step explanation:

[tex]-19 = b - 6[/tex]

Switch sides

[tex]b-6=-19[/tex]

Add 6 to both sides

[tex]b-6+6=-19+6[/tex]

Simplify

[tex]b=-13[/tex]

H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ ​ 8+6x x+4 10 ​ 4x−3 ​ , , , ​ x<−7 −7≤x<−5 x≥−5 ​

Answers

Answer:

[tex]h(-6) = -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]

Required

Determine h(-6)

To do this, we make use of:

[tex]h(x) = \frac{x + 4}{10}[/tex]

Because [tex]-7 \le -6 <-5[/tex]

So, we have:

[tex]h(x) = \frac{x + 4}{10}[/tex]

[tex]h(-6) = \frac{-6 + 4}{10}[/tex]

[tex]h(-6) = \frac{-2}{10}[/tex]

Simplify

[tex]h(-6) = -\frac{1}{5}[/tex]

2. Find the radius of the circle.
La
12 in.

Answers

Answer:

Hello! answer: radius is 6

Step-by-step explanation:

It shows that the diameter is 12 the radius is half of that therefore the radius is 6 hope that helps!

HRLPPPPP IM FAILING MATHH

Answers

It’s the third one

B=50.27 cm
V=371.97

PLEASE I NEED HELP!! NO LINKS!!

Answers

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

m<P = ½(m(NQ)) (inscribed angle theorem)

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

m(NQ) = 106°

The starting salary for delivery driver is 35,000 per year with a yearly increase of 3% which type of function best models this situation

Answers

Answer:

Option B

Step-by-step explanation:

The complete question is

The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical

Solution

After 1 year the salary of delivery boy will be

[tex]35000 + 35000*0.03\\35000+1050\\36050[/tex]

Salary of delivery boy after 2nd year =

[tex]36050 + 36050*0.3 = 37131.5[/tex]

Salary after 3rd year

[tex]37131.5 + (37131.5*0.03) = 38245.45[/tex]

The growth in salary is linear as depicted from the values obtained.

Hence, option B is correct

8 (x + 4) = 62.4 what does x represent

Answers

Answer:

8 (3.8 + 4)

Step-by-step explanation:

x=3.8

What does the x represent. The x represent 3.8

Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with.
Cate added 7 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 6 cards from
the stack. How many cards were left in the stack?
There were
cards left in the stack.

Answers

Answer:

18

Step-by-step explanation:

You would have 27 then add 7 subtract 10 and subtract 6 to get 18.

18 ...................

PLEASE HELP WITH ALL QUESTIONS WORTH ALOT OF POINTS

Answers

Answer:

1)  -311

2)  26 p^6 h^4

3) 18 x^2 y^5 z^7

4)  -20 c^4  

is correct answer.

i guess you dont know this '' ^ '' . this mean take that number in power,

All the best

Step-by-step explanation:

These are the correct answers for your questions

Meir is planting grass seed. He has 5 1/2 small bags of seed. Each bag weighs 3/4 pound.
What is the total weight of the grass seed?

Answers

Answer:

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Step-by-step explanation:

Given

Total bags of seeds [tex]= 5\frac{1}{2}[/tex]

Weight of each bag [tex]= \frac{3}{4}[/tex] Pounds

Total weight of the grass seed  = Total number of bags of seeds * Weight of each bag

Total weight of the grass seed  =

[tex]5\frac{1}{2} *\frac{3}{4} \\=\frac{11}{2}*\frac{3}{4}\\=\frac{33}{8}[/tex]Pounds

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Answer:

33/8= 4 1/8 so its B.

Step-by-step explanation:


I need help with this please help meeee:(!

Answers

Answer:

f=c+2

Step-by-step explanation:

f = c + 2Please let me know if I am wrong.

What does the a equal in this problem: 27 = 3°?​

Answers

Answer:

a= 3

Step-by-step explanation:

help pls i have 5 minss, no links

Answers

Answer:

3/25

Step-by-step explanation:

4/33 is the answer to your question.

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is not divisible by 2, 7, or 9.
A. 13/50
B. 16/25
C. 9/25

Answers

Answer:

13/50

Step-by-step explanation:

The probability is 13/50.

Answer:

9/25 on odyssey

Step-by-step explanation:

1. Valerie's monthly income is $300 and her monthly expenses are $250. How much money
could Valerie save in the next eight months without changing her income or expenses?

Answers

Answer:

$400

Step-by-step explanation:

help please :) show work?! NO LINKS BRO

Answers

8. 85.5 cm squared
9. 45.5 cm cubed

ax+b=cx+d; a is not equal to c

Answers

Answer:

[tex]x = \frac{d - b}{a - c} [/tex]

At the Charming Chair Factory, they make 20 chairs
per day when 5 workers are on duty. If they need to
make ioo chairs in one day, what equation should
they use to figure out how many workers to schedule?

Answers

Answer:

100÷(20÷5)

Step-by-step explanation:

first find out how many chairs each worker made

20÷5=4

then divide 100 by 4 and that will give you 25

they would need 25 workers the equation that they should use is

100÷(20÷5)

factorise
3(m-4)+b(4-m)​

Answers

Answer:

-(m-4)(b-3)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping

Answer:

(m-4) (3-b)

Step-by-step explanation:

See the steps below:)

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