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lara31 [8.8K]
2 years ago
13

Ana drew a map of the Panama Canal. In the scale Ana used for the map, 4 centimeters represents 20 kilometers. The actual length

of the Panama Canal is 82 kilometers. What is the length in centimeters of the Panama Canal on Ana’s map? Be sure to use the correct place value
Mathematics
1 answer:
yawa3891 [41]2 years ago
4 0

Answer:

Length of the canal on the map is 16.4 centimeters.

Step-by-step explanation:

If actual length of Panama Canal = 20 kilometers

and length of the canal on map = 4 centimeters

Then scale factor = \frac{\text{Length of canal on map}}{\text{Actual length of canal}}

= \frac{4}{20}

= \frac{1}{5}

If the actual length of Panama Canal = 82 kilometers

Then the length of canal on the map = Actual length × Scale factor

= 82\times \frac{1}{5}

= 16.4 centimeters

Therefore, length of the canal on the map is 16.4 centimeters.

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A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet a
Nimfa-mama [501]

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then  x₁ > x₂

3 0
2 years ago
Let x = 8.99999 . (a) Is x < 9 or is x = 9? x < 9 It is neither; x > 9 x = 9 x < 9 and x = 9 It cannot be determined
qaws [65]

Answer: idk

Step-by-step explanation:

idk

4 0
2 years ago
Write the polynomial of least degree with roots -2, 5, and 7.
fomenos
For roots of -2, 5, and 7.

x = -2, x = 5, and x = 7

x = -2                        x = 5                             x = 7           

(x + 2) = 0                 (x - 5) = 0                   (x - 7) = 0

The polynomial of least degree would be:
(x -2)(x - 5)(x - 7) = 0

(x -2)(x -5) = x(x - 5) - 2(x -5)
              
                 = x² - 5x - 2x + 10

                 = x² - 7x + 10

 (x² - 7x + 10)(x -7)

x(x² - 7x + 10) - 7(x² - 7x + 10)

x³ - 7x² + 10x - 7x² + 49x - 70

x³ - 7x² - 7x² + 10x + 49x - 70

x³ - 14x² + 59x - 70

The least is   x³ - 14x² + 59x - 70
3 0
2 years ago
Gianna is going to throw a ball from the top floor of her middle school. When she throws the hall from 48 feet above the ground,
vazorg [7]

Answer:

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

Step-by-step explanation:

The height h of the ball is modeled by the following equation

h(t)=-16t^2+32t+48

The problem want you to find the times the ball will be 48 feet above the ground.

It is going to be when:

h(t) = 48

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We can simplify by 16t. So

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It means that

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or

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So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

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NISA [10]

Answer:

20in^2

Step-by-step explanation:

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5 0
2 years ago
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