Answer:
or 
Step-by-step explanation:
One is given the following equation:
The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:
Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,
Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:
or 
or 
Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,
or
or 
Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.
or
or
Answer:
Step-by-step explanation:
The ratio of the employees using a laptop computer to those not using one was 1:3 in the year 2005. In 2006, the number of employees using a laptop as well as those not using it doubled. This means that both proportions would be doubled. Therefore, the ratio of the employees using a laptop to those not using one in 2006 would be
2:6
Answer: The volume of the tent is 293.33 ft.
Explanation: 11 x 10 x 8 = 880
The formula for the volume of a right rectangular pyramid is lwh/3.
880/3 = approximately 293.33
Answer:
49
Step-by-step explanation:
If so the inter quartile range = 58 - 9 = 49
Answer:
80 cm
Step-by-step explanation:
The diagonals divide the rhombus into four congruent triangles. The height of each triangle is 18/2 = 9, and the hypotenuse is 41. Using Pythagorean theorem, the width of each triangle is:
c² = a² + b²
41² = 9² + x²
x = 40
Therefore, the longer diagonal is 2×40 = 80.
