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Makovka662 [10]
2 years ago
11

a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft a

nd the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute
Mathematics
1 answer:
IrinaVladis [17]2 years ago
6 0

The distance between the boats after 1 minute would be 130 ft.

Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:

  • Total width - boat distance 1 - boat distance 2 = Distance after 1 minute
  • 200 - 40 - 30 = X
  • 130 = X

Therefore, the distance between the boats after 1 minute would be 130 ft.

Learn more about maths in brainly.com/question/25808345

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The absolute value of -183 is _______.
Salsk061 [2.6K]

Answer:

183

Step-by-step explanation:

The absolute value of a number is the number's distance from zero, which will always be a positive value. To find the absolute value of a number, drop the negative sign if there is one to make the number positive.

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Find all of the points of the form (x, −x) which are 7 units from the origin.
Morgarella [4.7K]

Answer:

  • (-7, 0) and (7, 0)

Step-by-step explanation:

<u>All the points that are 7 units from the origin are on the circle:</u>

  • x² + y² = 7²

<u>The maximum and minimum values of x obtained when y = 0:</u>

  • x² = 7²
  • √x² = √7²
  • x = ± 7

So

  • min x = -7 and
  • max x = 7

<u>The points are:</u>

  • (-7, 0) and (7, 0)
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3 years ago
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The distance traveled varies directly with the time of travel. If
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Answer:

The constant is 10 for every 1 seconds the time traveled is 10 meters

Step-by-step explanation:

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3 years ago
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Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

<u>Area of square 1: 81 square inches</u>

s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9

<u>Perimeter of square 2: 48 inches</u>

4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15

Hence,

The length of side of largest square is 15 inches

5 0
3 years ago
6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)
Yakvenalex [24]

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

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Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

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4 0
3 years ago
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