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marysya [2.9K]
3 years ago
15

I need help on question 7 and 8

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0
7.
remember
(ab)/(cd)=(a/c)(b/d)
we can split them up
and
(x^m)/(x^n)=x^(m-n)

\frac{27k^5m^8}{4k^3*9m^2}=  \frac{27k^5m^8}{36k^3m^2}=( \frac{27}{36} )( \frac{k^5}{k^3} )( \frac{m^8}{m^2} )=( \frac{3}{4})(k^{5-3})(m^{8-2} )=( \frac{3}{4})(k^2)(m^6 )= \frac{3k^2m^6}{4}



9.

2 to 3
4(x-1)=15
to
4x-1=15
the distribuutive prperty
a(b-c)=ab-ac
what he did was
a(b-c)=ab-c

he did not distribute the 4 to the -1


4(x-1)+3=18
minus 3
4(x-1)=15
distribute  4 to x and -1
4x-4=15
add 4 to both sides
4x=19
divide by 4
x=19/4
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dos aviones parten de una ciudad con direcciones S32°E y E57°N¿ cuál es el angulo que forma sus direcciones?​
Elan Coil [88]

Answer:

El ángulo formado entre las dos direcciones es aproximadamente 115º.

Step-by-step explanation:

Las direcciones dadas en el enunciado significan lo siguiente:

S32ºE - <em>32º al este del sur.</em>

E57ºN - <em>57º al norte del este.</em>

Vectorialmente hablando, cada dirección es la siguiente:

S32ºE

A(x,y) = (\sin 32^{\circ}, -\cos 32^{\circ})

A(x,y) = (0.530, -0.848)

E57ºN

B(x,y) = (\cos 57^{\circ},\sin 57^{\circ})

B(x,y) = (0.545, 0.839)

El ángulo formado entre los dos vectores unitarios (\theta), medido en grado sexagesimales, puede determinarse mediante la siguiente ecuación vectorial:

\theta = \cos^{-1} \frac{A\,\bullet \,B}{\|A\|\cdot \|B\|}

Donde:

\|A\| - Norma de A(x,y).

\|B\| - Norma de B(x,y).

Si sabemos que A(x,y) = (0.530, -0.848), B(x,y) = (0.545, 0.839), \|A\| = 1 y \|B\| = 1, entonces el ángulo formado entre los dos vectores es:

\theta = \cos^{-1} \frac{(0.530)\cdot (0.545)+(-0.848)\cdot (0.839)}{(1)\cdot (1)}

\theta \approx 115^{\circ}

El ángulo formado entre las dos direcciones es aproximadamente 115º.

4 0
3 years ago
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