Can someone help me plz .. Use these lengths to find cos B, tan B, and sin B.
1 answer:
Answer:
cos B =
tan B =
sin B =
Step-by-step explanation:
In the right triangle, there are three sides and 2 acute angles
- Hypotenuse ⇒ the opposite side of the right angle
- Leg1 and Leg 2 ⇒ the sides of the right angle
The trigonometry functions of one of the acute angles Ф are
- sin Ф = opposite leg/hypotenuse
- cos Ф = adjacent leg/hypotenuse
- tan Ф = opposite leg/adjacent leg
In Δ ACB
∵ ∠C is the right angle
∴ AB is the hypotenuse
∵ AC is the opposite side of ∠B ⇒ leg1
∵ CB is the adjacent side of ∠B ⇒ leg2
→ By using the ratios above
∴ cos B = , tan B =
, sin B =
∵ CB = 7, AB = 25, AC = 24
∴ cos B =
∴ tan B =
∴ sin B =
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Answer:
The probability that Actuary Rahul examines fewer policies than Actuary Toby is 0.2857.
Step-by-step explanation:
It is provided that the automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, continuing until a policy with a claim is found and then stopping. Actuary Toby follows the same procedure with high-risk policies.
The probability that a low-risk policy has a claim is, P (L) = 0.10.
The probability that a high-risk policy has a claim is, P (H) = 0.20.
For positive integer <em>n</em>, the probability that Actuary Rahul examines exactly <em>n</em> policies is:
P (Actuary Rahul examines exactly <em>n</em> policies) =
The probability that Actuary Toby examines more than <em>n</em> policies is:
P (Actuary Toby examines more than <em>n</em> policies) =
It is provided that the claim statuses of policies are mutually independent.
Compute the probability that Actuary Toby examines more policies than Actuary Rahul as follows:
Thus, the probability that Actuary Rahul examines fewer policies than Actuary Toby is 0.2857.