To find the percent change between two numbers (based off of 434.90, or the first number listed), we first find the difference between the two numbers. To do this, we subtract the first number from the second. Here, we have 573.90-434.90=139. Then, we divide the difference by the original number, resulting in
. Finally, we multiply that answer by 100 to turn it into a percentage, resulting in 31.96137043 as our percentage. This is a positive increase because our number is positive.
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Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that
<em>u</em> = 4 cos(45°) <em>x</em> + 4 sin(45°) <em>y</em>
<em>v</em> = 2 cos(135°) <em>x</em> + 2 sin(135°) <em>y</em>
where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.
Then the sum is
<em>u</em> + <em>v</em> = (4 cos(45°) + 2 cos(135°)) <em>x</em> + (4 sin(45°) + 2 sin(135°)) <em>y</em>
and its magnitude is
||<em>u</em> + <em>v</em>|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)
… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))
… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))
… = √(16 + 16 cos(135° - 45°) + 4)
… = √(20 + 16 cos(90°))
… = √20 = 2√5
Responder:
<h3>45.49 unidades
</h3>
Explicación paso a paso:
La pregunta está incompleta. La pregunta puede reestructurarse así;
María va en bicicleta, por un camino completamente llano, pero inclinado; encuentra los 2 puntos de referencia de dicho camino y son D = (20; 32), E = (45; 70), encuentra la distancia recorrida por María.
La distancia total cubierta por María se puede obtener tomando la distancia entre los dos puntos de referencia usando la fórmula;
D = √ (x₂-x₁) ² + (y₂-y₁) ²
Dadas las coordenadas D = (20; 32), E = (45; 70),
DE = √ (45-20) ² + (70-32) ²
DE = √ (25) ² + (38) ²
DE = √625 + 1444
DE = √2069
DE = 45,49
Por lo tanto, la distancia total recorrida por María es de 45,49 unidades.
Answer:
a infinatley many
Step-by-step explanation:
