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Rasek [7]
3 years ago
14

1. If ABC  GXK, name all corresponding parts.

Mathematics
1 answer:
natta225 [31]3 years ago
7 0
Pay attention to the order of ur letters...
ABC = GXK....this is saying that : < A = < G.....and < B = < X....and < C = < K
so these are ur congruent angles

ABC = GYX...this is saying : side AB = side GY and side BC = side YX and side AC = side GX
and these are ur congruent sides
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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

#SPJ1

3 0
2 years ago
A quadratic equation of the form 0=ax^2+bx+c has a discriminant value of -16. How many real numbers solutions does the equation
alina1380 [7]

Answer: 0

Step-by-step explanation:

The disciminant \Delta tells you how many real solutions a quadratic equation has, depending on its sign:

\Delta>0\implies\text{2 solutions}\\\Delta=0\implies\text{1 solution}\\\Delta<0\implies\text{no solutions}

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