In the given quadrilateral ABCD,
(Sum of interior angles of a quadrilateral is 360 degrees)
(Substitution Property)
(Addition Property of Equality)
Answer: A
Step-by-step explanation:
The area of the square is 10^2 = 100.
The area of the circle is (pi)(5^2) = 25pi.
So, the area of the region in the square but not in the circle is 100 - 25pi.
Thus, the desired probability is (100-25pi)/100, which is about 21.5%
Answer:
30 cm^2
Step-by-step explanation:
a = 13 cm
b = 12 cm
using Pythagorean theorem:
a^2 = b^2 + c^2
--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25
--> c = √25 = 5
The area of that right triangle is:
S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)
All factors of 12 are {-12, -6, -4, -3, -2, -1, 1, 2, 3, 4, 6, 12}, so x is one of these numbers.
t is a prime, so t∈{2, 3, 5, 7, 11, 13, 17, 19, 23....}
A) t/x cannot be 1/12, because 1 is not a prime. NOT POSSIBLE
B) 1/4 = 3/12 ...... 3 is a prime and 12 is a factor of 12. POSSIBLE
C) 1/2= 3/6 .....3 is a prime and 6 is a factor of 12. POSSIBLE
D) 1 = 2/2....... 2 is a prime and 2 is a factor of 12. POSSIBLE
E) 2 = 2/1 ....... 2 is a prime and 1 is a factor of 12. POSSIBLE
Answer: A
