Answer:
In the tenths spot
Step-by-step explanation:
Answer:
The null hypothesis 
The alternative hypothesis 
Step-by-step explanation:
From the question we are told that
The population mean is 
Generally
The null hypothesis is that the company's new sedan, the Libra, will have an average of 
This mathematically represented as
The null hypothesis 
The alternative hypothesis is that the company's new sedan, the Libra, will have an average better than 
This mathematically represented as
The alternative hypothesis 
- (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
- (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.
<h3>
What exactly is sines law?</h3>
- The law of sines refers to the ratio of a triangle's side length to the sine of the opposite angle, which is the same for all sides.
- SinA/a = SinB/b = SinC/c
- Where A, B, and C represent the triangle's angle and a,b, and c represent the opposite sides of the triangle's angle.
So, Part A:
By employing the sines law,
- SinA/10 = SinB/13
- SinA/10 = Sin50/13
- A = 36.10
- C = 180-(180-36.10)
- C = 93.90
So,
- Sin36.10 / a = Sin50/ b = Sin93.90/c
- Sin36.10 / 10 = Sin50/ 13 = Sin93.90/c
- c = Sin93.90 × 13 ÷ Sin50
- c = 16.93 ft
Now, Part B:
Area of the mainsail:
- = 1/2 × abSinC
- = 1/2 × 10 × 13 × Sin93.90
- = 64.85
Therefore, the answers to both parts are:
- (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
- (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.
Know more about sines law here:
brainly.com/question/27174058
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The complete question is given below:
A sailmaker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 50° angle at the head with the leach.
Part A: Determine the length of the leach.
Part B: Find the area of the mainsail.
PLS HELP :) 50 POINTS!!!