32/5 times 5/3 a) 2 b) 17/3 c) 3/17 d) 81/25

[] Answer []

5 2/3

[] Explanation []

Step 1: Turn the mixed numbers into improper fractions

3 2/5 = 17/5

5/3 = 5/3

Step 2: Multiply across

17 * 5 = 85

5 * 3 = 15

= 85 / 15

Step 3: Simplify

5 2/3

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The perimeter of the kite WXYZ is 33.94 square units

Step-by-step explanation:

Step 1; First we plot the points W, X, Y, Z on the graph. We need to find the distance between the opposite sides i.e W and Y, X and Z. To find the distance between W and Y, X and Z we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

So for W (-3, 3) and Y (4, -4) where W is (x1, y1) and Y is (x2, y2).

Distance = √(4 - (-3))² + (-4 -3)² = √49 + 49 = √98 = 9.899.

Distance between X (2, 3) and Z (-3, -2) where X is (x1, y1) and Z is (x2, y2).

Distance = √(-3 -2)² + (-2 -3)² = √25 + 25 = √50 = 7.071.

Step 2; The parameter of a kite is given by 2 times the sum of the two distances between opposite sides.

Parameter = 2 × (9.899 + 7.071) = 2 × 16.97 = 33.94 square units.