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goldfiish [28.3K]
3 years ago
11

Find the value of x in the triangle shown below.​

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:

37°

Step-by-step explanation:

By definition all internal angles of a triangle add up to 180°

Hence,

98° + 45° + x = 180°

x = 180° - 98° - 45° = 37°

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Answer:

A) points at which paths intersect : (1,1,1) ; (2,4,8)

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Step-by-step explanation:

A) To find the points in which the particle paths intersect, it is necessary to find the values of t for which the three components of both vectors are equal:

t_1=1+2t_2\\\\t_1^2=1+6t_2\\\\t_1^3=1+14t_2

you replace t1 from the first equation in the second equation:

(1+2t_2)^2=1+6t_2\\\\1+4t_2+4t_2^2=1+6t_2\\\\4t_2^2-2t_2=0\\\\t_2(2t_2-1)=0\\\\t_2=0\\\\t_2=\frac{1}{2}

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t_1=1+2(0)=1\\\\t_1=1+2(\frac{1}{2})=2

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The points at which the paths  intersect are:

r_1(1)=(1,1,1)=r_2(0)=(1,1,1)\\\\r_1(2)=(2,4,8)=r_2(\frac{1}{2})=(2,4,8)

B) You have the following two trajectories of two independent particles:

r_1(t)=(t,t^2,t^3)\\\\r_2(t)=(1+2t,1+6t,1+14t)

To find the time in which the particles collide, it is necessary that both particles are in the same position on the same time. That is, each component of the vectors must coincide:

t=1+2t\\\\t^2=1+6t\\\\t^3=1+14t

From the first equation you have:

t=1+2t\\\\t=-1

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the atomic number and atomic weight of chlorine element is 17 and 35 respectively. Calculate the number of proton, neutron and e
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\\ \sf\longmapsto 35-17

\\ \sf\longmapsto 18neutrons

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