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5. The diagonal of a square is 10 inches long. What is the length, in inches, of each side of the square? Write the answer in simplified
radical form.
inches
Geometry
Jan 31, 2025
Solve: \( 8=\log _{b}(256) \)
Algebra
Jan 30, 2025
Last year at a certain high school, there were 144 ninth graders on the honor roll and 80 tenth graders
on the honor roll. This year, the number of ninth graders on the honor roll decreased by \( 25 \% \) and the
number of tenth graders on the honor roll decreased by \( 20 \% \). By what percentage did the total number
of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).
Answer
Pre Algebra
Jan 30, 2025
Verifying Steps to Solve a System of Equations
Given the system of equations \( 2 x-8 y=0 \) and \( -2 x+4 y=-8 \), which statements are true? Check all that apply.
The \( x \)-variable will cancel when adding the system of equations.
\( \square \) After adding the system of equations, you get \( -12 y=-8 \).
\( y=2 \)
a \( x=8 \)
The solution to the system is \( (2,8) \).
Algebra
Jan 30, 2025
sec θ = - 4, sin θ > 0
Trigonometry
Jan 30, 2025
Math Essentials and How UpStudy Enhances Your Learning
Who Invented Math?
Math was less invented than found. Its roots are in prehistoric societies including Greece, Babylonia, and Egypt where early mathematical ideas including geometry, arithmetic, and simple number systems first found expression. While building on past contributions by others who came before, Euclid and Pythagoras were crucial in establishing mathematical theory during this age; today Carl Friedrich Gauss and Terence Tao continue to greatly enhance modern math.
What Does 'Mean' Mean in Math?
In math, the 'mean' is a type of average. To calculate the mean, you add all the numbers in a set together and divide by the number of values. This gives you a single number that represents the central tendency of the data. For example, if five students have scores of 8, 9, 5, 6, and 7, you add them up (35) and divide by 5, which gives a mean of 7. It’s an essential tool in statistics and helps summarize a set of data with just one number.
What Does 'Product' Mean in Math?
In math, the 'product' refers to the result you get when two or more numbers (called factors) are multiplied together. For example, the product of 2 and 3 is 6, since 2 × 3 = 6. The product is an essential concept in many areas of math, including algebra and geometry. It’s useful in everyday life too, such as when calculating the total cost of multiple items or determining the area of a rectangle.
How Can UpStudy Math Homework Bank Help You?
UpStudy Math Homework Bank is an invaluable tool for students aiming to excel at their math homework. By offering step-by-step solutions, students can quickly learn how to solve problems, understand key concepts, and enhance their problem-solving abilities. With basic arithmetic to advanced calculus topics covered on this platform - whether you need help solving an equation or want a revision ahead of an upcoming test - UpStudy Math Homework Bank provides the resources you need for success!
