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Mathematics
18.12.2022 07:09
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Sean b= 5,79; c= 10,4,el angulo A= 54,46°, el angulo C mide ?

Sean b= 5,79; c= 10,4,el angulo A= 54,46°, el angulo C mide ?
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linsey9201
linsey9201
4,7(12 marks)

C \approx 91.732^{\circ}

Step-by-step explanation:

(This exercise is presented in Spanish and for that reason explanation will be held in such language)

El lado restante se determina por la Ley del Coseno:

a = \sqrt{b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A}

a = \sqrt{5.79^{2}+10.4^{2}-2\cdot (5.79)\cdot (10.4)\cdot \cos 54.46^{\circ}}

a \approx 8.466

Finalmente, el angulo C se halla por medio de la misma ley:

\cos C = - \frac{c^{2}-a^{2}-b^{2}}{2\cdot a \cdot b}

\cos C = -\frac{10.4^{2}-8.466^{2}-5.79^{2}}{2\cdot (8.466)\cdot (5.79)}

\cos C = -0.030

C \approx 91.732^{\circ}

lyn36
lyn36
4,6(16 marks)

C. 0.5

Step-by-step explanation:

Use formula for conditional probability

P(B|A)=\dfrac{P(A\cap B)}{P(A)}

Given:

P(A\cap B)=0.1\\ \\P(A)=0.2,

then

P(B|A)=\dfrac{0.1}{0.2}=\dfrac{1}{2}=0.5

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