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belka [17]
3 years ago
15

Determine the volume of this prism. 2) 3 ft 2 ft 6 ft 6 ft 2 ft

Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0

Answer:

36 ft^3

Step-by-step explanation:

3ft x 2ft = 6ft

6ft x 6ft = 36 ft^3

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Answer:

<h2>x = 61.6°</h2>

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Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads
Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

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The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

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We can use Pythagorean Theorem to find the distance AB.

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According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km

The speed at which distance is increasing between the two boats is given as:

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