This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Convert the mixed number to an improper fraction. 1(1)/(16) = (1 × 16 + 1)/(16) = (17)/(16) Step 2: Find the square root of the improper fraction. sqrt((17)/(16)) = sqrt(17)sqrt(16) sqrt(17)4 The value is sqrt(17)4. Step 1: Perform the division. When a number is divided by itself, the result is 1, provided the number is not zero. (3)/(729) ÷ (3)/(729) = 1 Alternatively, invert the second fraction and multiply: (3)/(729) × (729)/(3) = (3 × 729)/(729 × 3) = 1 The simplified expression is 1. Step 1: Recall the properties of a kite. A kite is a quadrilateral with two distinct pairs of equal-length adjacent sides. This means that if the sides are 7 cm and 9 cm, there are two sides of length 7 cm and two sides of length 9 cm. Step 2: Calculate the perimeter. The perimeter is the sum of the lengths of all sides. Perimeter = 7 cm + 7 cm + 9 cm + 9 cm Perimeter = 2(7 cm) + 2(9 cm) Perimeter = 14 cm + 18 cm Perimeter = 32 cm The perimeter of the kite is 32 cm.