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erma4kov [3.2K]
2 years ago
5

Use the information given to answer the question.

Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0

Comparing the functions, it is found that:

  • The function Kimora's travel based on Jim's travel is of: D. g(x) = f(x) + 80.
  • Lonnie's function based on Kimora is: B. h(x) = g(x - 2).

-----------------------------------------

Jim's equation is of:

f(x) = 140 - 55x

Kimora's equation is of:

g(x) = 220 - 55x

The -55x term is common to both functions, while the constant on g is 80 more than f, thus:

g(x) = f(x) + 80

Which means that the answer to the first question is given by option D.

Lonnie started traveling two hours before Kimora's, using the same equation of motion, just with the input x reduced by 2, thus:

h(x) = g(x - 2)

Which means that the answer to the second question is given by option B.

A similar problem is given at brainly.com/question/24759429

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KengaRu [80]

Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

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then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

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d1i1m1o1n [39]
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Step-by-step explanation:

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