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3 years ago

Set up and solve a system of equations to solve the problem.

Mathematics

2 answers:

Firdavs [7]3 years ago

8 0

10 nickels and 10 dimes

Reil [10]3 years ago

6 0

Answer:

The jar contains 10 nickels and 10 dimes. Another answer is that the jar contains 4 nickels and 13 dimes.

Step-by-step explanation:

1 nickels = 5 cents

1 dime = 10 cents

<u>1st answer</u>

10 nickels = $0.50

10 dimes = $1.00

So 10 nickels + 10 dimes = $1.50

<u>2nd answer</u>

13 dimes = $1.30

4 nickels = $0.20

So 13 dimes + 4 nickels = $1.50

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AfilCa [17]

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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2 years ago

Bill has a perfect cube of an unknown substance. The density of the substance is 3.0 g/cm. He

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81/3=27cm^3

vol. of cube is h×a×b

since it is a cube all sides are the same

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3 years ago

At a concert, 20% of the people are wearing black dresses or suits, 1/4 are wearing navy, 0.35 are wearing brown, and the rest a

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Answer: 20%

Step-by-step explanation:

20% black dresses or suits

.35 = 35% wearing brown

1/4 = 25% wearing navy

100% -20% - 35% - 25% = 20% left

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3 years ago