I have this question to on a test of mine, someone help please xD
Answer:
The answer to your question is letter C
Step-by-step explanation:
Process
1.- Find two points of the line
A ( 0, -3) B ( 2, 2)
2.- Find the slope of the line


3.- Find the equation of the line
y - y1 = m(x - x1)
y + 3 = 5/2(x - 0)
y + 3 = 5/2 x
y = 5/2 x - 3
4.- Convert the line to an inequality, we want the upper area so use ">"
y > 5/2 x - 3
- (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
#SPJ4
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!!!
it will go downwards left t right (negative slope) and pass through the y intercept at (0,3)
We have that
point A(-7,2) and point B(-1,-4)
Step 1
find the distance AB
d=√[(-4-2)²+(-1+7)²]------------> √[36+36]
d=√72
step 2
find the point M
five-sixths of the distance from AB----------> (5/6)*√72
see the attached figure
AC/AB=x/((5/6)*AB)
6/(AB)=x/((5/6)*AB)--------> 6=6x/5
x=30/6-------> x=5
CB/AB=y/((5/6)*AB)
6/AB=y/((5/6)*AB)---------> 6=6y/5
y=30/6-------> y=5
therefore
the coordinate x of point M is
A(-7,2)
Mx=-7+5=-2
the coordinate y of point M is
A(-7,2)
My=2-5=-3
the point M is (-2,-3)