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3 years ago

2. Jack and Tim are racing remote-controlled cars. Jack's car travels 3.5 feet per

Mathematics

1 answer:

gregori [183]3 years ago

7 0

D. 3.55s - 10 < 5.25s

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Which of the following solution graphs represent a "UNION"

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3 years ago

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

To find:

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.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

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:

$\dfrac{47.17}{2.5} \approx 18.87\ km/hr$

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3 years ago

A blank is a fraction with a denominator of 1

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A whole number is a fraction with a denominator of one

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Which of the following BEST describes an EULER PATH?

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A path that goes through every EDGE once and starts and ends at different vertices.

Step-by-step explanation:

Euler path - uses every edge of a graph exactly once

Euler circuit - uses every edge of a graph exactly once

Euler path - starts and ends at different vertices

Euler circuit - starts and ends at the same vertex

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3 years ago