Triangle XYZ is equilateral, so the central angle of the sector is 120°, or 2π/3 radians. The area of a sector of central angle β is given by
.. A = (1/2)r^2*β . . . . . . β in radians
Your sector's area is
.. A = (1/2)*2^2*(2π/3) = 4π/3 . . . . square units
Answer:
y=-2x+4
Explanation:
Subtract 6x from both sides of the equation.
3y=12−6x
Divide each term by 3 and simplify.
Divide each term in 3y=12−6x by 3.
Cancel the common factor of 3.
Simplify
Answer:
15
Step-by-step explanation:
using the rule of exponents
= 
=
=
= 15
Answer:
3x² + 8x - 9
Step-by-step explanation:
8x² - 5x² +x+7x-10+1
=3x² + 8x - 9
Answer:
No
Step-by-step explanation:
If GH is tangent to circle F, then it forms a right angle with FG. Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.
34² + 256² = 288²
66692 = 82944
The sides are not a Pythagorean triple, so GH is not tangent to the circle.