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<h2>Ratio of area of the square to the area of the circle = π/4</h2>
Step-by-step explanation:
Let the side of square be a and radius of circle be r.
The perimeter of a particular square and the circumference of a particular circle are equal.
Perimeter of square = 4 x a = 4a
Circumference of circle = 2πr
Given that
4a = 2πr
We need to find the ratio of the area of the square to the area of the circle.
Area of the square = a²
Area of the circle = πr²
Ratio of area of the square to the area of the circle = π/4
The image of the stem-and-leaf plots is in the attachment.
Answer: (a) 31 years; (b) 59 years; (c) 56 years
Step-by-step explanation: Steam and leaf is a table that shows the digits of the data value split into a "stem", which represents the first digit, and a "leaf", which is the last digit.
For example, the first row of the table in the attachment, indicate a "stem" 2 and the first number of a "leaf" is 1, so the actress has 21 years.
(a) According to the table, the youngest actor to win an Oscar has a "stem" 3 and the first "leaf" from the right is 1, so the actor has 31 years.
(b) The oldest actress is 80 and the youngest is 21, so difference is:
80 - 21 = 59
The difference is 59 years.
(c) The oldest age shared by 2 actors is 56 years.
Answer:
c) 56 m²
Step-by-step explanation:
Area of the figure = area of triangle + area of rectangle
Rectangle:
length = 8 m
Width = 5 m
Area = length * width
= 8 *5
= 40 m²
Triangle:
base (b)= 4 m
height (h) = 8 m
= 2* 8
= 16 m²
Area of the figure = 40 + 16
= 56 m²