The length of the leach is 16.05 ft and the area of the mainsail is 64.94 ft²
<h3>What is application of law of sines?</h3>
The law of sines refers to the ratio of side length of triangle to the sine of the opposite angle which is same for all the sides.
SinA / a = SinB/ b = SinC/c
where, the A,B,C are the angles of the triangle and a,b,c are the opposite sides of the angle of triangle.
The mainsail foot is 13 feet long, the luff is 10 feet long has the length of the leach 6.93 ft and the area of the mainsail is 64.85 .
Part A; By using the law of sines;
SinA /10 = SinB / 13
SinA /10 = Sin54 / 13
A = 38.49°
C = 180 - (54 + 38.49)
C = 87.51°
So, Sin38.49 / a = Sin54/ b = Sin87.51/c
Sin38.49 / 10 = Sin54/ 13 = Sin87.51/c
c = Sin87.51 × 13 ÷ Sin54
c = 16.05 ft
Part B; Area of the mainsail = 1/2 × ab SinC
Area = 1/2 × 10 × 13 × Sin87.51
Area = 64.94 ft
Therefore, the length of the leach is 16.05 ft and the area of the mainsail is 64.94 ft²
Read more about the law of sines at; brainly.com/question/17289163
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945 minutes.
10% of 450 is 45. 450 + 45 = 495. 450 + 495 = 945.
Answer:
d) $128.65
Step-by-step explanation:
The table format from the question can be properly expressed as :
Coefficients Standard Error t Statistic p value
Intercept 39.14942 22.30182 1.755436 0.109712
x 1.792312 0.407507 4.398234 0.001339
Source df SS MS F
= 29.51443
Regression 1 16850.99 16850.99 19.34446
= 0.682478
Residual 9 7839.915 871.1017
Total 10 24690.91
For a rural household with $90,000 annual income, Abby's model predicts weekly grocery expenditure of:_________.
The estimated regression equation is as follows:
Expenditure (y) = 39.15 + 1.79 x
For a rural household with $90,000 annual income; the independent variables will assume the following values
x = 50
Thus; the estimated groceries expenditure is computed from the above regression equation by replacing the values of the independent variables;
This can be expressed as:
y = 39.15 + 1.79 (50)
y = 39.15 + 89.5
y = $128.65
Answer:
Using the prime factorization method, the lcm of 4 and 9 is 36.
Answer:
ok
Step-by-step explanation:
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