║║║║The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2
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A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.
The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.
B) Cos 40 =0.766.
Substituting tan40 value we have:
EG=13.05.
C)Sum of angles in triangle is 180.
<E+<F+<G=180
<E+90+40=180
<E+130=180
<E=50 degrees.
D)
EF=8.39
E) Area of triangle EFG=
A rea of the triangle =
Area= 54.75 square units.
Answer:
The solution is
Step-by-step explanation:
The equation
can be rewritten as
and can be further simplified to
.
Now, taking the inverse sine of both sides we get:
The value of the right side on the interval is
,
which makes the equation (2)
solving for gives
which is our solution.