Find the area of the regular polygon.
1 answer:
Answer:
98 yd²
Step-by-step explanation:
From the diagram attached, The polygon is a square with the distance from the edge of the square to the center of the square = 7 yd.
The distance from the edge of the square to the center of the square is half of the diagonal. Therefore length of the diagonal = (7 yd * 2) = 14 yd
The diagonal and two sides of the triangle form a right angle triangle. Let the side of the triangle be a. Therefore the hypotenuse is the diagonal, using Pythagoras theorem:
a² + a² = 14²
2a² = 196
a² = 98
a = √98 = 7√2
The length of the side of the triangle = a = 7√2 yd
The area of the rectangle = length × length = 7√2 × 7√2 = 98 yd²
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Answer:
see explanation
Step-by-step explanation:
The median is the middle value of the data set in ascending order. If there is no exact middle then the median is the average of the values either side of the middle.
Given
3 8 14 19 22 29 33 37 43 49
↑ middle is between 22 and 29
median = =
= 25.5
The upper quartile is the middle value of the data to the right of the median.
29 33 37 43 49
↑
= 37
The lower quartile is the middle value of the data to the left of the median.
3 8 14 19 22
↑
= 14
The min is the smallest value in the data set, that is 3
The max is the largest value in the data set, that is 49
The 5 number summary is
3, 14, 25.5, 37, 49