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
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Answer:
true because the center of the triangle is in the middle
Hints:
1) This is an arithmetic sequence.
2) The first member of the sequence is 4.
3) The common difference is 6. To each member, we add 6 to get the next.
4) The formula for the nth term of an arith. sequence is as follows:
l=a + (n-1)d, where l is the LAST term, n is the number of terms, d is the common difference, and a is the first term. Write this out. Play with n, increasing (integer) n until this formula predicts numbers close to 576. Do you get exactly 576 for one of these INTEGER n values? If yes, then 576 is a member of the sequence. If no, then it is not.
Answer:
Step-by-step explanation:
The System of equations is:
In order to solve the system of equations you need to find the value of the variable "x" and the value of the variable "y".
Then, you can follow the steps shown below:
Step 1. You can use the Equalization methods. Make . Then:
Step 2. You must solve for the variable "x" in order to find its value. This is:
Step 3. SUbstitute the value of "x" into any original equation:
Step 4. Evaluating, you get that "y" is:
Answer:
The width is 18 feet.
Step-by-step explanation:
You know that a rectangle has 4 sides.
L + L + W +W =84
24 +24 +2W =84
48 +2W =84
2W =84 - 48
W =18