Check over my answers?
28. A kite has diagonals 7.8 ft and 6 ft. What is the area of the kite?
A. 23.4 ft^2****
B. 46.8 ft^2
C. 41.4 ft^2
D. 10.8 ft^2
29. What is the area of a regular hexagon with an apothem 13 inches long and a side 15 inches long? Round the answer to the nearest inch.
A. 585 in^2
B. 390 in^2
C. 97 in^2 ****
D. 1,169 in^2
yes, two triangles with base 7.8 and altitude 3
hmm
area of one of the six triangles = (1/2)(15)(13) = 97.5
times 6 = 585
Thanks ^^
Well, I have to say your answers are a bit off. But that's okay, I'm here to help! Let's go through them one by one:
28. A kite has diagonals 7.8 ft and 6 ft. What is the area of the kite?
To find the area of a kite, we can use the formula: Area = (d1 * d2) / 2. Plugging in the given values, we get (7.8 * 6) / 2 = 46.8 ft^2. So, the correct answer is B. 46.8 ft^2, not A. 23.4 ft^2.
29. What is the area of a regular hexagon with an apothem 13 inches long and a side 15 inches long? Round the answer to the nearest inch.
To find the area of a regular hexagon, we can use the formula: Area = (3 * √3 * s^2) / 2, where s is the length of the side. Plugging in the given values, we get (3 * √3 * 15^2) / 2 = 586.363, which rounds to approximately 586 inches^2. So, the correct answer is A. 585 in^2, not C. 97 in^2.
Keep up the good work, and don't be discouraged by a few mistakes. Math can be tricky sometimes!
To check your answers, we can apply the formulas for finding the areas of a kite and a regular hexagon.
28. To find the area of a kite, we can use the formula: Area = (diagonal 1 * diagonal 2) / 2. Plugging in the given values, we get Area = (7.8 ft * 6 ft) / 2 = 23.4 ft^2. Therefore, your answer of A. 23.4 ft^2 is correct.
29. The formula for finding the area of a regular hexagon is: Area = (3 * √3 * (apothem)^2) / 2. Plugging in the given values, we get Area = (3 * √3 * (13 in)^2) / 2 ≈ 390 in^2. Therefore, your answer of B. 390 in^2 is correct.
You have chosen the correct answers for both questions. Well done!