Answer: The boats are 44.82 miles from each other.
Step-by-step explanation:
The direction of movement of Marcus and Sandra forms a right angle triangle.
The distance sailed by Marcus due North would represent the opposite side of the right angle triangle.
The distance sailed by Sandra due east would represent the adjacent side of the right angle triangle.
The distance, h between the both of them after 2 hours represents the hypotenuse of the right angle triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
h² = 35² + 28² = 1225 + 784
h² = 2009
h = √2009
h = 44.82 miles
The fourth one down.......
Step-by-step explanation:
L.H.S
tanA * cosecA
=sinA/cosA * 1/sinA
now cancel sinA and sinA
then,
1/cosA
= secA
= RHS
hence proved
Explanation:
For a theorem that says "if A then B", the converse is "if B then A."
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The hing.e theorem has numerous parts to the hypothesis. Its converse retains many of those conditions, swapping only the relation between the included angle and the third side.
<u>theorem</u>: if two sides of one triangle are congruent to two sides of another, then the longest third side will be opposite the largest included angle.
<u>converse</u>: if two sides of one triangle are congruent to two sides of another, then the largest included angle will be opposite the longest third side.
Instead of relating the third side to the angle measure, the converse relates the angle measure to the third side.
