Exercises for mid test
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The document contains 8 questions about simplifying, adding, subtracting, multiplying, dividing, exponentiating, factorizing algebraic expressions, and identifying ordered pairs of relations between sets. Specifically, it asks the reader to: 1) Simplify, add, subtract, multiply, divide and exponentiate various algebraic expressions. 2) Factorize expressions such as 18x - 24, 16x^2 - 25, p^2 - 17p + 30, and 3m^2 - 6m - 9. 3) Identify the ordered pair set of the relation "x is twice of y" between the sets P = {0, 1, 2, 3, ..., 10} and Q = {0
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Dokumen tersebut merangkum pengertian, unsur-unsur, rumus, dan contoh soal terkait kubus. Dibahas tentang pengertian kubus, unsur-unsur seperti titik sudut, rusuk, bidang, diagonal, jaring-jaring, rumus volume, luas permukaan, teorema Euler, dan contoh soal terkait kubus.
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Dokumen ini membahas hubungan antara sudut pusat dan sudut keliling dalam lingkaran. Ada beberapa poin penting: (1) besar sudut pusat dua kali besar sudut keliling, (2) besar sudut keliling sama dengan setengah besar sudut pusat, (3) contoh soal menghitung besar sudut jika diketahui besar sudut lainnya. Dokumen ini juga membahas besar sudut ketika sudut keliling menghadap diameter lingkaran.
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Dokumen tersebut berisi 10 soal latihan UTS tentang materi geometri bidang datar dan ruang yang mencakup soal tentang keliling lingkaran, luas lingkaran, luas daerah yang diarsir, panjang lintasan sepeda, luas juring, sudut, jarak titik pusat lingkaran, panjang garis singgung persekutuan, dan panjang tali untuk mengikat pipa paralon.
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Anne's group statistics task
This document contains data from a survey of students in Class IX E at SMP Negeri 2 Sindang. It includes data on [1] the average daily pocket money of students, and [2] their most difficult subjects. For pocket money, the mode is Rp10,000, the median is Rp10,000, and the mean is Rp13,103. For most difficult subjects, physics had the highest frequency of responses. The document concludes with visual representations of the data in pie charts, bar charts, and line charts.
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Statistics is the study of collecting, organizing, analyzing, and drawing conclusions from data. There are two main types of data: quantitative and qualitative. Measures of central tendency like the mean, median, and mode are used to analyze data.
The document provides an example survey given to a class about their internet usage. It summarizes the results from each question using measures of central tendency like the mean, median, and mode. It also displays the results from each question in pie charts.
Statistics
Statistics is the scientific study of collecting, organizing, analyzing, and drawing conclusions from data. It involves collecting both qualitative and quantitative data, organizing and processing the data, then presenting and analyzing it to draw conclusions. Some key aspects of statistics include determining measures of central tendency like the mean, median, and mode for simple data sets, as well as calculating values like range and frequency for grouped data. Proper sampling techniques are important to obtain representative samples from a target population.
My presentation of math
This 3 sentence document provides a summary of a math presentation given by Yusrina Nurul Ghufrani of class IX D. The presentation covered common 3D shapes including cylinders, cones and spheres.
Rangga 9e
The document describes the geometric formulas for balls and cones. It provides definitions and formulas for calculating the surface area and volume of cones and spheres. For cones, it defines the elements, describes how to make the net, and gives the formulas for surface area and volume. For spheres, it similarly defines the elements, notes they have no net, and provides the formulas for surface area and volume. It also discusses how changing the radius impacts the volume.
Phalosa
The document provides information about geometric shapes including cones, spheres, and their measurements. It defines formulas for calculating the surface area and volume of cones and spheres. It then works through examples of applying the formulas to find specific measurements of given cones and spheres. Finally, it provides exercises for the reader to practice calculating surface areas, volumes, radii and other values of cones and spheres using the defined formulas.
Curved plane solid by fikri arif hakim and the group
Here are the steps to solve these problems:
1) Volume of sphere = (4/3)πr^3
1.437 cm^3 = (4/3)πr^3
r = 3 cm
2) Original volume = (4/3)π(10)^3 = 4188 cm^3
New volume = (4/3)π(10.5)^3 = 4374.5 cm^3
Change in volume = 4374.5 - 4188 = 186.5 cm^3
So the change in volume of the sphere is 186.5 cm^3
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1) The document discusses geometric solids such as prisms, pyramids, cylinders, cones, and spheres. It provides examples and formulas for calculating the surface areas and volumes of cylinders.
2) Worksheets are included that ask students to calculate the lateral area, surface area, and volume of cylinders given dimensions like radius and height.
3) Examples show how to use the formulas to find values like radius given other known measurements like surface area and height.
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1) The document discusses geometric solids such as prisms, pyramids, cylinders, cones, and spheres. It provides examples and formulas for calculating the surface areas and volumes of cylinders.
2) Worksheets are included that ask students to calculate the lateral area, surface area, and volume of cylinders given dimensions like radius and height.
3) Examples show how to set up and solve equations to find the radius of a cylinder given its surface area and height, or to find the height of a cylinder given a diagram.
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Exercises for mid test
- 2. Answer the following questions based on the instruction given 1. Simplify the following algebraic expression a) 6 – 2 (3a + 2) is b) -7x -13 x + 4x c) 13 b² + 5 b² + 4b 2. The sum of the following algebraic form: a) 2np + 3pq and 8 np – pq is ...... b) 2x² - 3xy + 2y² and -3x² + 4xy - 6y² is ......
- 3. 3. Find the result of substraction the following Algebraic form a) x² + 3x -4 from -3x² -2x +5 b) – 7 pq + 3qr from 2pq – 2qr c) 2a² - 2ab + b² from 5a² + 3ab + 2b²
- 4. 4. Find each product of the following Algebraic form a) (5a + 2) ( a – 3) b) (x+2)(x-5) c) -6m(3m² -2n +4 ) d) a( 5b +3)
- 5. 5. Find the The quotients of the following algebraic form a) 21 x² : 3x b) 14 xy : 2y c) d)
- 6. 6. Find the exponentiation producs of the following algebraic form a) (-3x)² b) (2ab) ² c) (3m²)³ d) (2x + 5) ²
- 7. 7. Factorise the following algebraic form a) 18 x– 24 is ….. b)16x2 – 25 is ….. c) p2 - 17p + 30 is ….. d)3m2 – 6m – 9 is …
- 8. 8. Given that P= {0, 1, 2, 3, ….. 10} Q = {0, 1, 2, 3, ….. 8} The ordered pair set of relation “ x is twice of y→ “ from set P to Q where x€P and y€Q is .......…..
- 11. Good Luck