Let "a", "b" and "с" be sides of the triangle ("с" is the longest side).
The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
a.
a=3, b=4 and c=5
a² + b² = 3² + 4² = 9 + 16 = 25 and c² = 5² = 25
25 = 25 ⇒ right triangle.
b.
a=5, b=6 and c=7
a² + b² = 5² + 6² = 25 + 36 = 61 and c² = 7² = 49
61 > 49 ⇒ аcute triangle.
c.
a=8, b=9 and c=12
a² + b² = 8² + 9² = 64 + 81 = 145 and c² = 12² = 144
145 > 144 ⇒ аcute triangle.
He is incorrect. you first have to find the least common denominator and that is 6. so then you would have 3/6- 2/6. that would equal 1/6.
Answer:
Step-by-step explanation:
Given that you and a friend play a game where you each toss a balanced coin.
If the upper faces on the coins are both tails, you win $1;
if the faces are both heads, you win $2;
if the coins do not match (one shows a head, the other a tail), you lose $1 (win (−$1)).
Let Y be the amount won
Then Y can take values as 1,2 and -1
The above is the probability distribution for Y.
Answer:
The Statement D⊆B is False.
Step-by-step explanation:
Given:
A = {1, 3, 5, 7 }
B = {5, 6, 7, 8}
C = {5, 8}
D = {2, 5, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8}
To Check:
D⊆B = True or False
Solution:
The sign '⊆' symbolize SUBSET
So D⊆B means D is the Sub Set of B
That means All the element of Set D must be there in the SET of B Then it comes True.
Or else it is False
D = {2, 5, 8}
B = {5, 6, 7, 8}
Therefore D⊆B is a FALSE statement
For it to be TRUE we must have set B as
D = {2, 5, 8}
B = {2,5, 6, 7, 8}
Now D⊆B is a TRUE statement
Answer:
c, 14
Step-by-step explanation:
