Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)
1 answer:
Answer:
y = -29/19 and x = -44/19
Step-by-step explanation:
3x + 2y = -10 multiply by -2 ⇔ -6x - 4y = 20
2x - 5y = 3 multiply by 3 ⇔ <u> 6x - 15y = 9 </u>
Add the two equation -19y = 29
y = -29/19
Use equation one and solve for x
3x + 2(-29/19) = -10
3x - 58/19 = -10
3x = -10 + 58/19
3x = -190/19 + 58/19
3x = (-190 + 58)/19
3x = -132/19
x = - 132/ 19 ÷3
x = -44/19
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Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units.
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon =
Therefore, angle at the center of a dodecagon = = 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle =
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle =
=
Area of dodecagon = 12×area of the small triangle
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
