A pizza has a diameter of 12 inches. What is the approximate circumference of the pizza? A 100.5 inches B 50.2 inches C 37.7 inches D 12.6 inches

Answers

Answer 1
Answer: Circumference=2πr, or 2d.

The diameter of the pizza is 12 inches. 12•π is approximately 37.7 inches. Instead of multiplying 12 by all of pi, you can also just use the first 3 digits of pi, 3.14, and still get 37.68, about 37.7 inches.

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The three paths intersect in pairs at the points A, B, and C. Measure and record the angle formed at each intersection. Also measure and record the lengths of the straight paths, or sides. Capture the image, and paste or insert it in the space below.

Answers

The dimensions of length can be measured using a ruler, and the angle measurement can be made with the use of a protractor

The dimensions (calculated) of the figure are:

Angles formed at each intersection;

Angle A is approximately 97.125°

Angle B is approximately  53.6°

Angle C is approximately  26.6°

Lengths of the straight sides;

Side AB is approximately  3.6

Side BC is 8

Side AC is approximately  6.7

Please find attached the screen grab of the image

The reason the above values are correct is as follows:

Question: The coordinates of the points A, B, and C, obtained from a similar question online are; A(3, 4), B(1, 1), and C(9, 1)

Please find attached the diagram of the tree paths that intersect  at the points A, B, and C

The required parameter:

To measure and record the angle formed at each intersection

The angles can be measured using a protractor, however, by calculation, we have;

The length of AB = √((3 - 1)² + (4 - 1)²) = √13 ≈ 3.6

The length of BC = √((9 - 1)² + (1 - 1)²) = 8

The length of AC = √((9 - 3)² + (1 - 4)²) = √45 = 3·√5 ≈ 6.7

By cosine rule, we have;

cos(A) = (8^2 - \left( \left(√(13) \right)^2 + 3 \cdot \left(√(5) \right)^2  \right))/(-2 * √(13) * 3 \cdot \left(√(5) \right) ) = (-√(65) )/(65)

A = arcos\left( (-√(65) )/(65) \right) \approx 97.125 ^(\circ)

cos(B) = ( \left(3 \cdot \left(√(5) \right)\right)^2 - \left( \left(√(13) \right)^2 +8^2  \right))/(-2 * √(13) *8 \right) )

B = arcos\left((2 * \left(-√(65) \right))/(65)  \right) \approx 56.3

cos(C) = ( 13 - \left( \left(3 \cdot√(5) \right)^2 +8^2  \right))/(-2 * 3 \cdot √(5)  * 8 \right) ) = 2 *(√(5) )/(5)

C=arcos \left( 2 *(√(5) )/(5)\right) \approx26.6^(\circ)

Therefore, the angles formed at each intersection are;

Angle A ≈ 97.125°

Angle B ≈ 53.6°

Angle C ≈ 26.6°

The lengths of the straight side are;

Side AB ≈ 3.6

Side BC = 8

Side AC ≈ 6.7

Please find attached the image of the triangle ABC created with MS Excel

Learn more about finding the dimensions of triangle given the coordinates here:

brainly.com/question/13937524

Find the value of x.
A) 71
B) 72
C) 73
D) 75

Answers

146° + (-39 +x)° = 180°

Subtract 146° on both sides.

(-39 +x)° = 180° - 146°

(-39 +x)° = 34°

(x - 39)° = 34°

Add 39° on both sides

x = 34° + 39°

x = 73°

Your final answer is C) 73.
146 - 39 + x = 180

107 + x = 180

x = 73

Your answer is C) 73.

How do you write this ratio 24 messages: 10 messages as a fraction

Answers

Hi there! A ratio is the same thing as a fraction. So, we have a ratio of 24 messages: 10 messages. That would be 24/10. If you want to simplify 24/10 that would be 12/5. But 12/5 as a mixed number would be 2 2/5.
Foreword

Your image appears to be that of the aftermath of a supernova explosion.

Content

Ratios such as x apples to y apples can be written in fraction form as x/y.  Usually ratios compare non-like objects like apples and oranges.

Anyways, we can write 24 messages:10 messages as:

(24)/(10)

It can thus be simplified.  Note, however, that we cannot write this in mixed fraction form because it is a ratio; it must stay in improper form.

(24)/(10) = (12)/(5)

Solve the system of equations using substitution.
y= 3/4x-7
4x- 6y=50

Answers

\begin{cases} y= (3 )/(4)x-7 \n 4x- 6y=50 \end{cases}\n \n\begin{cases} y= (3 )/(4)x-7 \n 4x- 6((3 )/(4)x-7)=50 \end{cases}\n \n\begin{cases} y= (3 )/(4)x-7 \n 4x- (9 )/(2)x+42=50 \end{cases}\n \n \begin{cases} y= (3 )/(4)x-7 \n 4x- 4(1 )/(2)x =50 -42\end{cases}

\begin{cases} y= (3 )/(4)x-7 \n - (1 )/(2)x =8 \ \ /*(-2)\end{cases}\n \n \begin{cases} y= (3 )/(4)*(-16)-7 \n x =-16\end{cases}\n \n \begin{cases} y= -12-7 \n x =-16\end{cases} \n \n\begin{cases} y= -19 \n x =-16\end{cases}


Y=3/4x-7
4x-6y=50

4x-6y=50
4x-6(3/4x-7)=50
4x-18/4x+42=50
-1/2x=8
x=-16

y=3/4(-16)-7
y=-12-7
y=-19

A total of 543718 visitors went to a theme park during August and September . if 321654 visitors went to the theme park in august, how many visitors went to the theme park in september? show your work.

Answers

i think its 222064  i'm pretty sure it's correct

What is 734 round to the nearest ten?

Answers

730, because if the ones is less than five, you round down. Please hit the brainliest answer button if you like my answer.