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Stels [109]
3 years ago
9

The graph shows the path that Karis bicycles on Thursday. Each unit represents 1 mile. She bicycles north, then east, then south

, and finally west to return to the same starting point at (1, 3). On Saturday, Karis starts at (1, 3), but bicycles 4 more miles north and 5 more miles east, along a similar rectangular path. She determines that she rode an additional 4+5=9 miles. Is Karis correct?
Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0
Yes Karis is correct I hope this helps and if its wrong let me know but I'm sure I'm correct
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sweet [91]

9514 1404 393

Answer:

  10.73 ft/s

Step-by-step explanation:

When the runner is halfway to first base, the triangle formed by his position and the first and second bases is a right triangle with legs of 45 ft and 90 ft. The angle between the runner's direction and the line from his position to 2nd base is ...

  angle = arctan(90/45) ≈ 63.43°

The "speed made good" in the direction of 2nd base is the product of the cosine of this angle and the runner's speed toward first.

  speed toward 2nd = cos(63.43°)×(24 ft/s) ≈ 10.73 ft/s

The rate the runner's distance to 2nd base is decreasing is 10.73 ft/sec.

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3 years ago
Mark earned $40 mowing lawns last week. He spent 3/5 of his money on two books. How much did he spend on those two books?
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First, convert 3/5 to a percent by multiplying it by 20/20, getting 60/100, or 60%. Then, find 60% of 40 by multiplying 60 by 40 to get 2,400 and divide it by 100 to get 24, meaning Mark spend $24 on both books. Each of the books cost $12, as 24/2 is 12.

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3 years ago
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zepelin [54]
31 trust In me I learned this last week
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David rents DVDS from a company that changes a $7.00 monthly fee and $1.50 for each dvd rental. He ends up paying $20.50 for the
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1.5x + 7 = 20.5
First subtract 7 from both sides
1.5x = 13.5
Then divide both sides by 1.5
x = 9


Let me know in comments if you have questions
3 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?|
padilas [110]

Answer:

1st option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

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Change y back into terms of x with x being the inverse h(x)

h(x) = \frac{x-1}{2} = \frac{1}{2} x - \frac{1}{2}

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3 years ago
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