if a circle is inscribed in a square with a perimeter of 24 cm., what is the circumference of the circle?​

Answers

Answer 1
Answer:

The circumference of the circle is 6.28 cm.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Perimeter of a square is the length of it's boundary.

Perimeter of a square = 4a, where a is the side length.

4a = 24 cm

a = 24 / 4

a = 6 cm

If a circle is inscribed in a square, diameter of the square is same as the side length of square.

Diameter, d = 6 cm

Radius, r = d / 2 = 3 cm

Circumference of a circle is the length of it's boundary.

Circumference = 2 π r

                         = 2π × 3

                         = 6π

                         = 6.28 cm

Hence the circumference of the circle is 6.28 cm.

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Answer 2
Answer:

Answer:

the side length of the square is 6 cm. The perimeter P of a square with side length s is given by P=4s . The perimeter of the square is 24 cm.

Step-by-step explanation:


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What is the lcm of 12 and 24

Answers

The LCM (Lowest Common Multiple) of 12 and 24 is 24. :)

Hope this helps!

Simplify (2x+y^2) (2y-4x-3y^2)

Answers

explaining

 

Algebra

 

Simplify (2x^2)(4x^3y^2)

(2x2)(4x3y2)(2x2)(4x3y2)

Multiply x2x2 by x3x3 by adding the exponents.

Tap for more steps...

2x5(4y2)2x5(4y2)

Rewrite using the commutative property of multiplication.

2⋅4(x5y2)2⋅4(x5y2)

Multiply 22 by 44.

8x5y2

85 is 40% of what number?
A- 212.5
B- 47.1
C.34
D.45

Answers

the answer is A.

212.5(0.40) = 85

15 points

What is the slope?

Show work for brainliest

Answers

Answer:

slope= 1/2

Step-by-step explanation:

the slope is determined by rise over run. We go up 1 unit and go to the right 2 units therefor the rise over run slope would be 1/2

To determine the best fit undergraduate program, a high school senior researches the majors offered at the universities he is considering for admissions. The internet search reports that Arizona State University lists nine of their most popular majors and the percent of student population enrolled in the programs._______________________________________________
Popular Majors Percent of Student Body
Biology 8%
Business Marketing 20%
Communications/Journalism 6%
Education 5%
Engineering 7%
Interdisciplinary Studies 6%
Psychology 6%
Social Sciences 10%
Visual and Performing Arts 8%
----------------------------------------------------------
The university’s enrollment is expected to reach at least 20,000 students for the fall semester.
The minimum number of students who are expected to be working towards a Social Sciences degree is
The university requires that any student who is studying Visual and Performing Arts or Communications/Journalism must perform in one of the student productions before graduation. At least 20,000 students will be performing in the university’s student productions before graduation.
In the fall semester, % of the student population will be enrolled in a degree program not listed as one of the university’s most popular.
The most popular degree offered at Arizona State University is
For the fall semester, the university should expect that students will enroll in one of the two most popular

Answers

Final answer:

At least 2,000 students are expected to pursue a Social Sciences degree at Arizona State University. The most popular degree is Business Marketing, and about 6,000 students are estimated to enroll in the top two most popular programs (Business Marketing and Social Sciences) in the fall semester.

Explanation:

Based on the information provided about

Arizona State University's

most popular majors and their respective percentages, you can determine the minimum number of students expected to be working towards a Social Sciences degree. The

Social Sciences

program makes up 10% of the student body. Therefore, if the enrollment is expected to reach at least 20,000 students, you can expect that at least 2,000 students (10% of 20,000) will be working towards a

Social Sciences

degree. As for the most popular degree, Business Marketing is listed as comprising 20% of the student body, making it the most popular degree. The two most popular programs, Business Marketing and Social Sciences, make up 30% of the student body. So the university might expect that at least 6,000 students (30% of 20,000) will enroll in one of the two most popular programs in the fall semester.

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Business market is located on 20 percent and the other data support is 8 percent to support the world’s

A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. How many text messages did you have? Write an equation using x as the variable and then solve the equation.

Answers

Answer: 2 text

Step-by-step explanation:

1 text costs a monthly fee + $0.25

monthly fee = $30.00

1 text = $30.00 + $0.25 =$30.25

Using proportion

1text = $30.25

X text = $59.50

Cross multiply

X × $30.25 = $59.50 × 1

Divide bothside by $30.25

X = $59.50 / $30.25

X = 1.966

X = 2 approximately

Therefore number of texts = 2

The equation would be 59.50 = 30 + .25x.You woould solve by subtracing 30 from 59.50, and you get 29.5. Then dividing .25 by that, and you get 118. So you sent 118 texts.