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snow_tiger [21]
3 years ago
10

E=4i+3j A=5i finfd E.A=EAcos

Mathematics
1 answer:
Luba_88 [7]3 years ago
4 0

Answer:

theta = 36.87

Step-by-step explanation:

E.A= (4i+3j).5i= 20

|E| |A| =

| e| |a|   = \sqrt{4 ^{2}  +  {3}^{2}  }  \times 5 = 25

\cos(theta)  =  \frac{e.a}{ |e ||a | }  =  \frac{20}{25}  =  \frac{4}{5}  \\ theta =  \cos ^{ - 1} ( {.8} ) = 36.87

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Tres corredoras salieron a entrenar Amalia recorrio 4,121 km ; Luciana 1,55 km mas que Marta y esta 1 8/2 km menos que Amalia. ¿
tatiyna

Answer:

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

Step-by-step explanation:

El enunciado tiene un error tipográfico que induce a equivocación. El enunciado correcto es el siguiente: <em>Tres corredoras salieron a entrenar Amalia recorrió 4,121 kilómetros; Luciana 1,55 kilómetros más que Marta y esta 1 8/25 kilómetros menos que Amalia. ¿Cuántos kilómetros recorrió Luciana y Marta? </em>

Sean x,y,z las distancias recorridas por Amalia, Marta y Luciana, en kilómetros. A partir de la descripción del enunciado tenemos el siguiente sistema de ecuaciones lineales:

Amalia

x = 4,121\,km (1)

Marta

y = x-1.32\,km (2)

Luciana

z = y + 1.55\,km (3)

La solución del sistema de ecuaciones lineales es:

x =4,121\,km, y = 2,801\,km, z = 4,351\,km

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

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Math workshops and final exams: The college tutoring center staff are considering whether the center should increase the number
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Answer:

2. Number of workshops attended.

Step-by-step explanation:

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What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?
11111nata11111 [884]

Answer:

R' = (-1,-0.5)

Step-by-step explanation:

See attachment for complete question.

From the attachment:

P = (-3,-3)

R = (1,2)

Dilation:

D_{(0.5,P)}

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

R = (1-(-3),2-(-3))

R = (1+3,2+3)

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Next, apply dilation factor 0.5

R' = R * 0.5

R' = (4,5) * 0.5

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R' = (2,2.5)

Lastly, measure R' from the origin by adding the coordinates of P to R'

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R' = (2-3,2.5-3)

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