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What is the surface are of a soda can?

The surface area of a 12-ounce soda can measures 2.62 inches in diameter and 6.82 inches tall. The surface area of the ends of the can is calculated as follows: 2.62/2 = a radius of 1.31, r2 = 1.31 x 1.31 = 1.716, 1.716 x 3.142 = 5.392, 5.392 x 2 = 10.784 square inches. The surface area of the sides of the can is calculated as follows: 2.62 x 3.142 = 8.232, 8.232 x 6.82 = 56.142 square inches. The total surface area is 10.784 + 56.142 = 66.926 square inches.

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How can you find consecutive odd numbers?

Label the odd numbers with variablesUse the letter "x" to stand for any odd number. Then x + 2 would be the consecutive odd number. Set up the equationAdd the two variable together to equal their sum, which the variably "y" represents. x + x + 2 = y This equation can be simplified to 2x + 2 = y. Solve the equation for "x"Put the sum in for the "y" variable, and solve the equation for "x." 2x + 2 = 228 Solving this equation for "x" shows that it equals 113. This means that the two consecutive odd numbers are 113 and 115.

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How are metric units converted?

Three common metric units in everyday use in almost every country in the world are the meter for measuring length, the gram for measuring weight and the liter for measuring capacity. Common fractions of these measurements are prefixed by "deci" for 0.1 (one-tenth), "centi" for 0.01 (one-hundredth) and "milli" for 0.001 (one-thousandth). For example, one hundredth of the length of a meter is a centimeter, and to convert 5 meters (the larger unit) to centimeters (the smaller unit), the multiplication is by 100. The result is that 5 meters equals 500 centimeters.Common multiples of meters, grams ..

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What is expanded form in math?

In discussion of place value, expanded form is when a number is broken down into each place value with an addition sign placed between each number. For example, 356 would be 300+50+6 in expanded form. When an expression is factored, it changes the expression into expanded form. x2-4 would factor into the expanded form of (x-2)(x+2). The expanded form of quadratic equations is often more useful in graphing than the standard form.

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What is the prime factorization of 81?

A prime number is a number that is divisible only by itself and one. Neither zero nor one is considered a prime number. To complete prime factorization on 81, find a common pair of dividends that multiplied together equal 81. Nine times nine equals 81, but nine is not a prime number because it is divisible by three. Break down each nine into three times three. Three is a prime number since only three and one are factors of it. Three times three times three times three is equal to 81.

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What is an array in math?

Most commonly, arrays are presented in rows and columns of dots, cubes, grids or other formats to teach students multiplication. For instance, the student might be presented with a grid containing four rows with nine columns. The student then uses the grid to determine the answer to the problem which is 4 x 9. On occasion, arrays are also used to teach addition and subtraction in elementary school classrooms. For younger students, an array may contain other objects to represent the numbers.

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How is the transverse axis of a hyperbola found?

The algebraic equation representing a hyperbola should be arranged such that it follows the format [(x-h)^2]/(a^2) - [(y-k)^2]/(b^2) = 1. If the arrangement conforms to this format, then the transverse axis is horizontal. Otherwise, if the arrangement produces the form [(y-k)^2]/(b^2) - [(x-h)^2]/(a^2) = 1, then the transverse axis is vertical.\nThe length of the transverse axis can be calculated as 2a, in which the value of the variable a can be extracted from the rearranged algebraic equation. To determine the endpoints of the transverse axis, which is actually the vertices of the two hyperb..

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What is experimental probability?

For example, if a coin is flipped 1,000 times, and the result is tails 530 times, the experimental probability of flipping tails is 530/1000, which is 0.53. Theoretical probability, on the other hand, is reached by taking the two possible outcomes and dividing them. The theoretical probability of flipping tails is then 1/2, which is 0.50.\nExperimental, sometimes referred to as empirical, probability is often confused with theoretical probability. Theoretical probability is the probability reached by dividing the number of favorable outcomes by the number of possible outcomes. While theoretic..

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What kind of math problems are taught in 9th grade Algebra 1?

Some rules that students learn in Algebra I include the commutative rule of addition, which says that a + b = b + a, and the transitive property of equality, which states that if a = b and b = c, then it follows that a = c. Knowledge of rules like these allows students to accurately manipulate algebraic equations so they can isolate an unknown variable on one side of an equation. Problems based on these rules typically present students with an algebraic expression containing one or more unknown quantities and ask students to solve for x.\nA typical graphing problem requires Algebra I students ..

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What computer programs can you use to learn algebra?

Algelbrator helps solve problems in pre-algebra, college-level algebra, statistics and trigonometry. It covers solving equations and inequalities, simplifying expressions, graphing solutions and identifying complex numbers.\nMathTutor Algebra 1 offers interactive algebra 1 lessons for students of all abilities, and the lessons progress from simple to challenging so the students gain skills and confidence. It has algebra 1 coursework created by math educators and lessons that are good for self-study.\nBasic Algebra Shape-Up helps students learn basic algebra skills. It begins with an assessment..

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