One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
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- Solve for x.
Okay, so from the given figure we can see that, < FAE & < FAB forms a linear pair. In a linear pair, the 2 angles will together sum up to 180°. So,
- < FAE = 4x°
- < FAB = 2x°
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From the explanation, we can understand that,
Sum of the linear pair = 180°
< FAE + < FAB = 180°
4x° + 2x° = 180°
6x° = 180°
x° = 180 ÷ 6
x = <u>3</u><u>0</u><u>°</u><u>.</u>
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- The value of x will be<em><u> 30°</u></em> (3rd option).
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<u>NOTE</u> : Here, the lesser than symbol ( < ) stands for 'angle'.
Three of the four towns are on the vertices of the triangle ΔCBD, through
which the bearing can calculated.
<h3>Response:</h3>- The bearing of D from B is approximately <u>209.05°</u>
From the given information, we have;
AC = AB = 25 km
∠BAC = 90° (definition of angle between north and east)
ΔABC = An isosceles right triangle (definition)
∠ACD = ∠ABC = 45° (base angles of an isosceles right triangle)
The bearing of <em>D</em> from <em>B</em> is the angle measured from the north of <em>B</em> to the
direction of <em>D.</em>
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Therefore;
- The bearing of D from B ≈ 90° + (180° - 60.945°) = <u>209.05°</u>
Learn more about bearings in mathematics here:
