The correct answer to this question is "120 ways"
Main Courses consists of Beef, Pork Roast, Duck, Quiche (4), Vegetables consists of Broccoli, Carrots, Potatoes (3), Beverages consists of Coffee, Tea, Milk, Soda and Shakes (5), Desserts consists of Ice Cream, Brownies (2)
The total number of ways can be solved as: 4 * 3 * 5 * 2 = 120
The function is the Sine Curve
y = sine (x)
The equation for this is (n-2) x 180
Replace n with the number of sides:
a. 9: (9-2) x 180 = 7 x 180 = 1,260
b. 19: (19-2) x 180 = 17 x 180 = 3,060
We know that
The triangle inequality<span> states that for any </span>triangle, t<span>he sum of the lengths of any two sides of a </span>triangle<span> is greater than the length of the third side
</span>so
case <span>A. 81 mm, 7 mm, 6 mm
6+7 is not > 81
case </span><span>B. 81 mm, 7 mm, 72 mm
72+7 is not > 81
case </span><span>C. 81 mm, 7 mm, 88 mm
81+7 is not > 88
case </span><span>D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok
the answer is the option
</span>D. 81 mm, 7 mm, 77 mm
By pythagoreans' theorem,
Longer edge
= √(2² + 6²)
= √40
∴ The length of the longer edge is the square root of 40 feet.
Shorter edge
= √(1² + 3²)
= √10
Area = L × B
= √40 × √10
= 20 feet²
