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Goryan [66]
3 years ago
14

A 4f by 5ft dock is anchored in the middle of a lake. The bow of a boat is tied to a corner of the dock with a 5ft rope as shown

in the picture. Find the area of the region in which the bow of the boat can travel. Round your answer to the nearest foot
Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0
Wait what? Erm.. could you give is a little more detail so I can figure this out??
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An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that
Sphinxa [80]

Answer:

  • 71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

  • So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

  • The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + x + x  =  180{}^{ \circ} }}}

⠀

{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + 2x   =  180{}^{ \circ} }}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  180{}^{ \circ} - {  38 \: }^{ \circ}}}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  142{}^{ \circ}  }}}

⠀

{\longrightarrow \it\qquad { \ {   x   =    \dfrac{142{}^{ \circ}}{2}   }}}

⠀

{\longrightarrow \it\qquad { \pmb {   x   =  71^{ \circ}  }}}

⠀

Therefore,

  • The measure of the two other angles of the isosceles triangle are 71° and 71°.
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