Answer:
Measure of ∠FGE is 40.2°.
Step-by-step explanation:
Refer to the attachment.
Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.
To find the value of ∠FGE use trigonometric ratios.
Use sine ratio to find the value of ∠FGE.

Rewriting it in terms of x° as follows,

Now find the opposite and hypotenuse side of the angle ∠FGE.
So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.
Substituting the values,

Given that length of FE is 12 inch and FG is 18.6 inch.
Substituting the value,

To find the value of x, taking inverse sin.

Calculating the value,

Rounding to nearest tenth the value of angle is 40.2
Therefore measure of ∠FGE is 40.2° .
Answer:
86
Step-by-step explanation:
Radius=Circumference/Pi
135.02/3.14=43
Diameter=2r
43x2=86
Answer: Identify at least three reasons the Articles of Confederations failed as a governing document. In your opinion, evaluate which defect was most debilitating, using evidence and your knowledge of American government to justify your position.
Step-by-step explanation:
Answer:
The area needed to be painted is approximately 301.44 square inches.
Step-by-step explanation:
The shape of a donut is represented by two concentrical circles, whose area is described by the following formula:
(Eq. 1)
Where:
- Total area of the donut, measured in squared inches.
- Area of the greater circle, measured in square inches.
- Area of the lesser circle, measured in square inches.
By using the definition of the area of the circle, we expand the equation above:
(Eq. 1b)
If we know that
,
and
, the area needed to be painted is:


The area needed to be painted is approximately 301.44 square inches.