Answer:
Below.
Step-by-step explanation:
A. Required probability = 11/80.
B. 3700 * 11/80 = 508.75 so the predicted number would be 509.
Answer:
Step-by-step explanation:
Required to prove that:
Sin θ(Sec θ + Cosec θ)= tan θ+1
Steps:
Recall sec θ= 1/cos θ and cosec θ=1/sin θ
Substitution into the Left Hand Side gives:
Sin θ(Sec θ + Cosec θ)
= Sin θ(1/cos θ + 1/sinθ )
Expanding the Brackets
=sinθ/cos θ + sinθ/sinθ
=tanθ+1 which is the Right Hand Side as required.
Note that from trigonometry sinθ/cosθ = tan θ
Answer:
13) 8.6
Step-by-step explanation:
To find the side length, use a trig function to solve for x.
You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.
This means Cos 52 = x / 14. Solve for x.
Cos 52 = x / 14
14* Cos 52 = x
8.6 = x
Your answer to the question is B) 7
<h3>
Answer: y = 10</h3>
=====================================
Work Shown:
EI = EG
3y-10 = 2y
3y-10-2y = 0
y-10 = 0
y = 0+10
y = 10
Note how if y = 10, then
- EI = 3y-10 = 3*10-10 = 20
- EG = 2y = 2*10 = 20
Both EI and EG are 20 units long when y = 10. This confirms the answer.
