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Sveta_85 [38]
3 years ago
8

from his home, Bob would have to walk 3 miles north to get to his friend lucky’s house and 4 miles east to get to his friend ray

mond’s house. one day, bob walked from his home to raymond’s house. together, raymond and bob cut directly through the field that separated them from lucky’s house. when they finished playing at lucky’s, bob walked back home. in all how far did bob walk?
Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

  12 miles

Step-by-step explanation:

The diagonal distance from Raymond's house to Lucky's house is given by the Pythagorean theorem as ...

  c = √(a² +b²) . . . . . where c is the hypotenuse length of a right triangle with legs "a" and "b"

Here, we have a=4, b=3, so ...

  c = √(4²+3²) = √(16+9) = √25 = 5 . . . . miles

So, Raymond's trip that day was ...

  distance to Raymond's + distance from Raymond's to Lucky's + distance from Lucky's

  = 4 + 5 + 3 = 12 . . . . miles

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3 a western beach is reducing width by 10 feet every 5 years for the first 10 years the patter then became less constant dunes b
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A. Western Beach is reducing was width by 10 feet every 5 years for the first 10 years, then the pattern became less constant. Dunes Beach experienced a stable and fast increase in width, 25 feet every 5 years of 5 feet per year.

B. Somewhere between years 11 and 12 they had the same width.

C. You can place the values on a graph and connect the points, and look at the intersections to determine points in time where they were of the same width.

First, lets look at the data. Western Beach (or WB for short) decreases its width by 10 feet every 5 years from year 0 to year 10. Between year 11 and year 15 the pattern shifts and becomes less changing since there is barely any change between years 12 and 15. Dunes Beach (or DB) increases steadily by 25 feet every 5 years or 5 feet per year.

Assuming the changes in width happen over time and gradually, at some point between year 10 and 11, both beaches would have likely had the same width, somewhere between 70 and 75.

To determine the exact point in time where they meet we would need to draw a graph, with the width in feet on the X axis and the year on the Y axis. Then we place all the pairs in the graph by their coordinates, and connect the points that correspond to each beach. We then see where the lines intersect and use mathematics to determine the values of X and Y, giving us the time and width when the two beaches were equal.

please mark me brainliest it helps to become an genius

4 0
3 years ago
In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle<br> XYZ?
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Answer:

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Perimeter = TZ + TX + RX + RY + SY + SZ

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SZ = TZ = 5 cm (tangents drawn from and external point)

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2 years ago
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Answer: <em>m = 7</em>

Step-by-step explanation: In this equation, since a -5 is being multiplied by <em>m</em>, in order to get <em>m</em> by itself, we must divide both sides of the equation by -5.

On the left side, our -5's cancel out and we are left with <em>m</em>. On the right side, -35 ÷ -5 gives us 7. So m = 7.

To check our answer, we plug 7 back in for <em>m</em> in the original equation and we get -5 (7) = -35 which is a true statement so we know our answer is correct.

Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper or digitally. It will really pay off for you down the line.

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