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<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>6</em><em>.</em>
<em>Please</em><em> </em><em>see the </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> </em><em>full</em><em> </em><em>sol</em><em>ution</em><em>.</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>
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The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
<h3>What is the distance between two points?</h3>The distance between two points is defined as the length of the line segment between two places representing their distance.
Given AB with coordinates A(-4,5) and B(12,13).
The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².
x₁ = -4, y₁ = 5
x₂ = 12, y₂ = 13
distance = √ (12 – (-4))² + (13 – 5)²
distance = √ (12 + 4)² + (8)²
distance = √ (16)² + (8)²
distance = √ (256 + 64)
distance = √320
distance = 17.88 units
The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.
Learn more about the distance between two points here:
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Ok so we know that the distance around the circle (or circumference) is equal to the diameter times pi.
This means that
d being the diameter,
This means that:
= 12.00028271
= 12 m
So the diameter of the circle is 12 metres.
Hope this helped
This means that
d being the diameter,
This means that:
= 12.00028271
= 12 m
So the diameter of the circle is 12 metres.
Hope this helped
Step
<u>Find the length of the side MN</u>
we know that
Applying the Pythagorean Theorem
Solve for MN
in this problem
Substitute in the formula above
Step
<u>Find the value of cos (M)</u>
we know that
in the right triangle MNL
Substitute
therefore
The answer is
The value of cos(M) is equal to