What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°
What we are looking for:
Toby's Angle = ?
The distance x = ?
We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.
Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°
Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
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x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m
∴The distance, x, between two landmarks is 69.31m
<span>p=210e^(0.0069*20)
'e' is a mathematical constant equal to 2.718281828459
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<span>0.0069*20 = .138
e^.138 =
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<span>2.718281828459^.138 =
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<span>
<span>
<span>
1.1479755503
</span>
</span>
</span>
210 * <span>1.1479755503 =
</span>
<span>
<span>
<span>
241.074865563
</span>
</span>
</span>
The slope is 5/3 five over 3. You youse the formula y2 - y1 over x2-x1. Plug into calculator,and then reduce.
Leslie did. If you multiply 4/5 by two, you get 8/10. 8/10 is greater than 7/10.
Using the general form; y = mx + b, we get:
y = 4x + 6
