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Nataliya [291]
3 years ago
13

Un terrain de foot de longueur 120m est représenté par une maquette de longueur 37.5m

Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

Answer:

0,31

Step-by-step explanation:

l'échelle = mesure plan/mesure réelle

37,5/120 ≈ 0,31

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What is the slope of (-3,0) and (2,7)
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Answer:

7/5

Step-by-step explanation:

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Well, slope can be found using

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So we just plug it in:

7-0

2+3

7/5 is your slope

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

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The expression -6 -7(4+3x) is equivent to
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Answer:

Done!

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2 years ago
What are the magnitude and direction of u+v+w ?
nevsk [136]

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

<h3>How to determine the magnitude and the direction of a resultant</h3>

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

<h3>Resultant</h3>

\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)     (1)

<h3>Magnitude</h3>

\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}   (2)

<h3>Direction</h3>

\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}   (3)

Where \theta is resultant angle, measured in degrees.

If we know that \|\vec u\| = 90, \theta_{u} = 40^{\circ}, \|\vec v\| = 60, \theta_{v} = 20^{\circ}, \|\vec w\| = 40 and \theta_{w} = 30^{\circ}, then the resultant, its magnitude and its direction:

<h3>Resultant</h3>

\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})

\vec r = (-54.824, 18.531)

<h3>Magnitude</h3>

\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}

\|\vec r\| \approx 57.871

<h3>Direction</h3>

\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)

\theta \approx 198.676^{\circ}

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. \blacksquare

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/13322477

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