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lubasha [3.4K]
3 years ago
14

19. Represent Real-World Problems The

Mathematics
2 answers:
vredina [299]3 years ago
7 0

Answer:

2375 ft.

Step-by-step explanation:

Diameter = 2r

63 ft = 2r

31.5 ft = r

Distance traveled in one revolution is circumference, which equals 2πr.

12 revolutions * 2πr = 24πr = 24*31.5*π = 2375 ft.

enyata [817]3 years ago
6 0

Answer:

2373.84 feet.

Step-by-step explanation:

Diameter of the Ferris wheel = 63 feet

Radius of the Ferris wheel = r =  63/2 feet

Perimeter of the Ferris wheel = \[2*\Pi *r\]

\[=2*\Pi *\frac{63}{2}\]

\[=197.82\]

During 1 revolution, the rider travels 197.82 feet

When the Ferris wheel makes 12 revolutions, the rider travels [tex}\[197.82*12\][/tex] feet, that is 2373.84 feet.

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let x1,x2, and x3 be linearly independent vectors in R^(n) and let y1=x2+x1; y2=x3+x2; y3=x3+x1. are y1,y2,and y3 linearly indep
Nutka1998 [239]

Answer with Step-by-step explanation:

We are given that

x_1,x_2 and x_3 are linearly independent.

By definition of linear independent there exits three scalar a_1,a_2 and a_3 such that

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Where a_1=a_2=a_3=0

y_1=x_2+x_1,y_2=x_3+x_2,y_3=x_3+x_1

We have to prove that y_1,y_2 and y_3 are linearly independent.

Let b_1,b_2 and b_3 such that

b_1y_1+b_2y_2+b_3y_3=0

b_1(x_2+x_1)+b_2(x_3+x_2)+b_3(x_3+x_1)=0

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b_1+b_3=0

b_1=-b_3...(1)

b_1+b_2=0

b_1=-b_2..(2)

b_2+b_3=0

b_2=-b_3..(3)

Because x_1,x_2 and x_3 are linearly independent.

From equation (1) and (3)

b_1=b_2...(4)

Adding equation (2) and (4)

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From equation (1) and (2)

b_3=0,b_2=0,b_3=0

Hence, y_1,y_2 and y_3 area linearly independent.

5 0
3 years ago
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Answer:

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