A piece of pizza with a diameter of 20 inches is eaten and m∠IPZ=45°. What is the perimeter of the piece of the pizza eaten in inches?

A Piece Of Pizza With A Diameter Of 20 Inches Is Eaten And MIPZ=45. What Is The Perimeter Of The Piece

Answers

Answer 1

Answer:

Perimeter of pizza slice = 27.85 inches (Approx.)

Step-by-step explanation:

Given:

Diameter of pizza = 20 inches

So,

Radius of pizza slice = Diameter of pizza / 2

Radius of pizza slice = 20 / 2 = 10 inches

∠IPZ = 45°

Find:

Perimeter of pizza slice

Computation:

Perimeter of pizza slice = 2[Radius of pizza slice] + [θ/360][2πr]

Perimeter of pizza slice = 2[10] + [45/360][(2)(22/7)(10)]

Perimeter of pizza slice = 20 + [0.125][(2)(3.14)(10)]

Perimeter of pizza slice = 20 + [0.125][62.8]

Perimeter of pizza slice = 20 + 7.85

Perimeter of pizza slice = 27.85 inches (Approx.)

Answer 2

The perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.

How to find the relation between angle subtended by the arc, the radius and the arc length?

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

For this case, we're given that:

Angle m∠IPZ=45°.Diameter of the circular pizza = 20 inches

Not using the above formula, but the concept, we know that:

360° covers full arc, which is [tex]2\pi r[/tex] inch lengthed long.45° is 360°/8, so it will cover [tex]2\pi r/8[/tex] inch long arc (the arc IZ).

Since diameter of pizza = 20 inches, its radius r = 10 inches.

Thus, the length of the arc IZ = [tex]\dfrac{2 \times \pi \times 10}{8} \approx 1.9635 \: \rm inches.[/tex]

Perimeter of the slice of the pizza eaten = sum of the length of its boundaries = Length of arc IZ + length of line IP + length of line ZP

Since line IP and ZP are radius, thus:

Perimeter of the slice of the pizza eaten ≈ 1.9635 + 10 + 10 = 31.9635 inches.

Thus, the perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.

Learn more about angle, arc length relation here:

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Related Questions

Question is in picture

Answers

a^2 + b^2 = c^2
9^2 + 12^2 = 225
square root of 225 is 15

There are twice as many girls as boys in Mr. Terpathi’s 7th grade math class. Each of the girls gave him an oatmeal cookie, and each of the boys gave him a chocolate cookie. Mr Terpathi arranged the cookies in one row with a chocolate cookie farthest to the right. Which of the following must be true?

A. The cookie farthest to the left is chocolate.

B. The cookie farthest to the left is oatmeal.

C. There are at least two chocolate cookies next to each other.

D. There are at least two oatmeal cookies next to each other.

E. Mr. Terpathi received more chocolate cookies than oatmeal cookies.

Answers

Answer: D. There are at least two oatmeal cookies next to each other.

Step-by-step explanation:

Alright so basically we can use process of elimination to determine what is true or false so

A. States the farthest to the left is chocolate but we can't prove that because all we know is the cookie farthest to the right is chocolate so this is false

B. Same reason as A we cannot prove what cookie is farthest to the left because we are not given a pattern so B is false

C. Since there are definitely twice as many girls as boys in the class and that also means there are twice as many oatmeal cookies then we cannot prove that 2 chocolate cookies have to be next to each other so also false

D. This has to be true because if there are twice as many girls as boys and more oatmeal than chocolate then is whatever cookie line combinataion we will have at least 2 oatmeal cookies next to each other So this is true

E. This is most definitely not true because the question tells us that twice as many girls gave him oatmeal so if anything there are more oatmeal cookies

If f(x) - 2x2 +5./(x-2), complete the following statement:
The domain for f(x) is all real numbers
than__or equal to 2.

Answers

Answer: Greater than or equal to 2.

Step-by-step explanation:

Given

Function is  [tex]f(x)=2x^2+5\sqrt{x-2}[/tex]

The entity inside a square root is always positive i.e. greater than equal to zero

[tex]\therefore \ x-2\geq 0\\\Rightarrow x\geq2[/tex]

So, the domain of the function is all real numbers greater than or equal to 2.

Solve for X, assume that all segmented that appear to be tangent are tangent.

Answers

Answer:

Step-by-step explanation:

x = 9

100% of x is 50. *reamber is means divide*​

Answers

Answer:

100% of 50 is 50

x = 50

Step-by-step explanation:

Answer:

x = 50

Remember that 100% of anything is the number itself.

PLEASEEEEEEEEEE HELPPPPPPPPPPPPP

Answers

Answer:

i dont kno bestie.. :/

Step-by-step explanation:

4x + y = 1
x + y = 2
rewrite these equations in slope intercept form y=mx+b

Answers

y=4x+1

y=x+2

Step-by-step explanation:

very simple you just put the numbers in the correct spot when doing slope intercept form

First box:
4x + y = 1

y = -4x + 1



x + y = 2

y = -x + 2



Second box:
y = -4x + 1

Slope = -4
y - intercept = 1
x - intercept = 1/4



y = -x + 2

Slope = -1
y - intercept = 2
x - intercept = 2





a) Rearrange the following formula to make x the subject.
Give your answer in its simplest form.
4(2x - 3y) = y + 5
+

Answers

Answer:

x = 13y + 0.625

Step-by-step explanation:

4(2x - 3y) = y + 5

8x - 12y = y + 5

8x = y + 5 + 12y

8x = 5 + 13y

8x ÷ 8 = 5 + 13y ÷ 8

x = 5 + 13y ÷ 8

x= 13y + 5 ÷8

x = 13y + 0.625

Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length

is twice the width. The volume of the box is 3,456 in? What is the height of the box?

Answers

Answer:

12 inches

Step-by-step explanation:

Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length

is twice the width. The volume of the box is 3,456 in? What is the height of the box?

Volume of a Rectangular pyramid = Length × Width × Height

From the above question

Height = Width = x

Length = 2 × Width

Length = 2x

Volume = 3,456 cubic inches

Hence,

3,456 = 2x × x × x

3456 = 2x³

x³ = 3456/2

x³ = 1728

Cube root both sides

Cube root(x³) = cube root (1728 cubic Inches)

x = 12 inches

Therefore, the height is 12 inches

Width, Height and Length of rectangular prism are 12, 12 and 24 inch respectively.

Assume;

Width of rectangular prism = a

Height of rectangular prism = a

Length of rectangular prism = 2a

We know that;

Volume of the rectangular prism = (l)(b)(h)

Volume of the rectangular prism = (2a)(a)(a)

3,456 = 2a³

a³ = 1,728

a = 12 inch

So,

Width of rectangular prism = 12 inch

Height of rectangular prism = 12 inch

Length of rectangular prism = 2(12)

Length of rectangular prism = 24 inch

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How many meters are there in a kilometer?

Answers

1000 meters in kilometer

1000 meters are there in a kilometer.

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Answers

Answer:

The mode is 23

Step-by-step explanation:

Write an equation of the line that passes through (0, 8) and (6, 8).

Answers

Answer:

y = 8

Step-by-step explanation:

Both of the points have the same y, which is 8, meaning that if the line passed through both of those points, then it has to be horizontal, meaning the equation is y = 8   Also, there is no x in the equation because the slope is 0.

What is equity? What does it mean to have positive equity? What does it mean to have negative equity?

Answers

Equity, typically referred to as shareholders' equity (or owners' equity for privately held companies), represents the amount of money that would be returned to a company’s shareholders if all of the assets were liquidated and all of the company's debt was paid off in the case of liquidation. In the case of acquisition, it is the value of company sale minus any liabilities owed by the company not transferred with the sale.


Positive equity relates to assets you own that are financed by loans. The term positive equity is most commonly used with real estate investments, but there are other asset types where positive or negative equity is a consideration. As part of your financial situation, positive equity is a component of your overall net worth.



The concept of negative equity arises when the value of an asset (which was financed using debt) falls below the amount of the loan/mortgage that is owed to the bank in exchange for the asset. It normally occurs when the value of the asset depreciates rapidly over the period of use, resulting in negative equity for the borrower.

The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,

Write the inequality in words.

5n – 10 > 26


A. Ten less than a number is less than or equal to twenty-six.


B. Ten less than five times a number is greater than twenty-six.


C. Five times n less than ten is twenty-six.


D. Ten plus five times n is less than or equal to twenty-six.

Answer:

Write the inequality in words.

5n – 10 > 26

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:
n > 36/5

Interval Notation:
(36/5, ∞)

THANKS
0

Answers

Answer:

B. Ten less than five times a number is greater than twenty-six.

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n > 36 /5

Interval Notation:

( 36 /5 , ∞ )

What is the midpoint of DC with endpoints C (6,−1) and D (−7,8)?

Answers

Answer:

Fraction form: (-1/2, 7/2) Decimal form: -.5, 3.5)

Step-by-step explanation:

use the midpoint formula of: (x1 + x2/2 , y1 + y2/2) in order to get (x,y) coordinates.

Let's call endpoint C x1 and y1. So 6=x1 and -1=y1.

This makes endpoint D x2 and y2. So -7=x2 and 8=y2.

Now plug it in and simplify!

x-coordinates: (6+-7)/2 = (6-7)/2 = -1/2 or -.5

y-coordinates: (-1+8)/2 = (8-1)/2 = 7/2 or 3.5

the midpoint of endpoints C and D is (-1/2, 7/2)

**decimal form: (-.5, 3.5)

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Answers

Answer: 6√6

Step-by-step explanation: When an angle is 45 degrees in a triangle it is actually half a square (I know right!!!), so, therefore, the other side length will also be 6, and then using the Pythagorean theorem we get the hypotenuse to be 6√2. Now, when an angle is 60 degrees in a triangle it is actually half an equilateral triangle (I know right!!!), so, therefore, the other side length will be double the length, 12√2, and using the Pythagorean theorem we get the side length x to be 6√6! Hope this helps!

Please help me
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12 m
18 m

Answers

Answer

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Step-by-step explanation:

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Help me with this and you’ll be marked as Brainliest

Answers

Answer:

A.) The base is 5 and the exponent is 3

B.) The base is 4 the exponent is 7

C.) The base is 3 the exponent is 4

D.) The base is 6 the exponent is 8

Step-by-step explanation:

Help pleas ? Brainliest as prize

Answers

Answer:

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There are 9 x's above 1 letter mailed.

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Answers

Answer:

7:42

Step-by-step explanation:

First off you add the ratio together-

6+1=7

Then you divide-

49÷7= 7

7 is equal to 1 in this ratio.

To write out the ratio you need to multiplicate-

7×1=7

and

6×7= 42

Leaving the as-

7:42

Answer:

7:42  

Step-by-step explanation:

First, add up the two numbers in the ratio to get 49.

Next, divide the total amount by 49, i.e. divide £16 by 8 to get £5. £5 is the amount of each 'unit' in the ratio.

Then you need to divide the total amount using that number i.e. 49/16 = 7/42.

To work out how much each person gets, you then multiply their share by the ratios. Therefore, the answer is 7 yd and 42 yds.

anybody can help me with this

Answers

The answer is 21.08241 because for an approximate result, multiply the length value by 1609

Answer:

the answer is a/ 21 kilometers

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

-5p + 3

add like terms, then put into standard form!

Answer:

-5p+3

Step-by-step explanation:

-p-2-4p+5

-p-4p-2+5

-5p+3

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Answer:

.........

it is -7

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Answers

Answer:

4,-4 I think

Step-by-step explanation:

My brain is off right now so might be wrong

the perimeter of an isosceles triangle is 45. find the length of the third side if each of the equal sides is 14cm long

Answers

Answer:

17cm

Step-by-step explanation:

The two equal sides are 14cm long so 45 - 14 - 14 = 17

In the figure below, m<3 = 136. Find m <1, m<2, and m<4 please explain

Answers

Answer:

angle 3=angle (vertical opposite angle)

angle 3 +angle 2=180°(by linear pair)

136°+angle 2=180°

angle 2=180°-136°

angle 2=44°

angle 2=angle 4(by vertical opposite angle)

I'll give brainliest

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a. 60
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c. 180
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Answers

Answer:

the answer is A

Step-by-step explanation:

It is an acute angle but is larger than 40

A cook at a restaurant is planning her food order. She expects to use 115 pounds of potatoes each day for 2 days. How many pounds of potatoes will she order

Answers

Answer:

just do 115 for 2 days come to 230

Answer:

230 pounds

Step-by-step explanation:

Since it is for 2 days, 115(2)

which gives u 230

Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation.
(-2,5), y = -4x + 2

Answers

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

Note: In parallel lines the slopes are the same

so put in (-2,5) into the values for (x,y) in y=mx+b and -4 in for m.

5=(-4)(-2)+b

5=8+b

-3=b

So then we put that back into the original equation with the slope of -4

y=(-4)x-3

Hope that helps :)

WXYZ is a parallelogram. Find the measure of angle Z

Answers

Given:

The figure of a parallelogram.

To find:

The measure of angle Z.

Solution:

We know that, the consecutive interior angles of a parallelogram are supplementary angles, it means there sum is 180 degrees.

In the given figure angle W and angle Z are supplementary angle. So,

[tex]m\angle W+m\angle Z=180^\circ[/tex]

[tex](18b-11)^\circ+(9b+2)^\circ=180^\circ[/tex]

[tex](27b-9)^\circ=180^\circ[/tex]

[tex](27b-9)=180[/tex]

Adding 9 on both sides, we get

[tex]27b=180+9[/tex]

[tex]27b=189[/tex]

[tex]b=\dfrac{189}{27}[/tex]

[tex]b=7[/tex]

Now,

[tex]m\angle Z=(9b+2)^\circ[/tex]

[tex]m\angle Z=(9(7)+2)^\circ[/tex]

[tex]m\angle Z=(63+2)^\circ[/tex]

[tex]m\angle Z=65^\circ[/tex]

Therefore, the correct option is C.

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