Answer:
1. In triangle ABC,
AC = a = 10, BC =b= 7 and ∠ C = 90°
By cosine law,
Now, by the law of sine,
2. In triangle ABC,
∠B = 30°, AB=c=10 and ∠C = 90°
∠A = 180°-(30+90)°=60°
⇒ 
By Pythagoras,
⇒ 
Answer:
See Attachment
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
Answer:
P(x) = x³ - 3x² - 5x + 15
Step-by-step explanation:
∵ The roots of the polynomial are -√5 , √5 , 3
∴ The polynomial has 3 factors:
(x - √5) , (x + √5) , (x - 3)
∴ P(x) = (x - √5)(x + √5)(x - 3)
= (x² + √5x - √5x - 5)(x - 3)
= (x² - 5)(x - 3) = x³ - 3x² - 5x + 15
∴ P(x) = x³ - 3x² - 5x + 15
Answer:
The event is mutually exclusive.
Step-by-step explanation:
Mutually exclusive events are events that cannot exist simultaneously.
Thus, events that are not mutually exclusive can exist simultaneously.
Since each student only has one major, a single student cannot be both a mathematics major and a business major.
So, the event is mutually exclusive.
