Alvin is 13 years older than elga. the sum of their ages is 107. what is elga's age

Mathematics

2 answers:

frutty [35]3 years ago

4 0

Alvin is 94 years old!

harkovskaia [24]3 years ago

3 0

A = e + 13
a + e = 107

e + 13 + e = 107
2e + 13 = 107
2e = 107 - 13
2e = 94
e = 94/2
e = 47 <=== elga's age

a = e + 13
a = 47 + 13
a = 60....alvin's age

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Answer:

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Step-by-step explanation:

Given that the speed of the airplane = 610 mph.

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So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.

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Total distance covered, d, is the magnitude of the sum of vectors $\vec{d_1}$ and $\vec{d_2}$ as shown in the figure.

The angle between the vectors $\vec{d_1}$ and $\vec{d_2}$ , $\theta=310-270=40$ degree.

Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},

$d= \sqrt{|\vec{d_1}|^2+|\vec{d_2}|^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\theta} \\\\\Rightarrow d=\sqrt{610^2+1830^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\(40^{\circ})}$