Hi Mackenzie.
Given that we have a probability question with the term "or", we are going to be adding individual probabilities.
We have Ethan, Hannah, and Sophie all included with the drawing.
This means we need to add each of their individual probabilities, 1/1200, together.
1/1200 + 1/1200 + 1/1200 = 3/1200;
To simplify: 1/400
Your answer is:
The probability of Ethan, Hannah, or Sophie being drawn is 1/400.
I hope this helps!
Area of a circle = pi x r^2
Area of circle = 150,000/ 1578 = 95.06 square miles
95.06 = 3.14 x r ^2
Divide both sides by 3.14
R^2 = 30.27
Find the square root:
R = sqrt(30.27)
R = 5.5
The radius is c) 5.5 miles
Answer:
It is not possible.
Step-by-step explanation:
How exact is exact? Since the circumference of a circle depends on pi, you have to discuss the nature of pi. C = pi * the diameter.
You are getting to a place where the air is pretty thin when you start dealing with pi. Pi has an infinite number of digits associated with it. Not only that, but if I were to tell you what the 100th digit was, you would have a random chance of figuring out what the 99th digit was or the 101 digit should be, that's only to the hundredth digit. The circumference would go beyond what we can measure with the thousandth digit.
In addition, pi is an irrational number. That means it cannot be represented by any kind of a fraction.
Answer:
A. 162 m²
Step-by-step explanation:
==>Given:
Isosceles trapezoid with:
base a = 19m
base b = 35m
Perimeter = 74meters
==>Required:
Area of trapezoid
==>Solution:
Recall: the length of the legs of an isosceles trapezoid are equal.
Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)
Let l = leg of trapezoid.
Perimeter = 74m
Sum of parallel sides = a+b = 19+35 = 54m
Thus,
74 = 54 + 2(l)
74 - 54 = 2(l)
20 = 2(l)
l = 20/2 = 10m
Let's find area:
Area = ½(a+b)*h
a = 19
b = 35
h = ?
Using Pythagorean theorem, let's find h as follows:
h² = l² - [(35-19)/2)²
h² = 10² - [16/2]²
h² = 100 - 64
h² = 36
h = √36 = 6m
Area = ½ x (a+b) × h
= ½ × (19+35) × 6
= ½ × 54 × 6
= 27 × 6
Area = 162m²
Answer: Area of the floor or ceiling: Multiply the length by the width (10 feet x 12 ... feet (10 feet wide x 8 feet high) and the other is 96 square feet (12 feet x 8 feet). ... divide the total square footage of the floor by 9 (120 square feet / 9 ... To convert an area from square feet into square inches, simply multiply by 144.
Step-by-step explanation:
