When a polygon is regular, that means that all of its sides are the same length and all of its angles are the same. A heptagon has seven sides and you know that all of them measure 3 inches. You can find the perimeter by adding all of the side measures together, so 3 + 3 + 3 + 3 + 3 + 3 + 3, or 3 x 7. So, the perimeter of the heptagon is 21 inches.
Answer:
14.48 ft
Step-by-step explanation:
The relation between the location of the focus (c), the vertex on the major axis (a) and the vertex on the minor axis (b) with respect the center is:
b² = a² - c²
From the question:
c = 4 ft
a= 30/2 = 15 ft
Replacing into the equation:
b² = 15² - 4²
b = √209
b = 14.48 ft
So, he should build the whisper chamber at 14.48 ft out from the center along the minor axis
Answer:
y = -0/12x + 4
the line is horizontal so it's zero slope and the y intercept is 4
Step-by-step explanation:
-24a²- 6a +9 = - 3(8a² +6a - 9)
8a² +6a - 9 =0
x=(-b +/-√(b² - 4ac))/2a
x = (-6 +/-√(36+4*8*9) /(2*8) = (-6 +/-√(324) /16 = (-6 +/-18)/16
x1 = (-6 +18)/16 = 0.75
x2 = (-6 -18)/16 = - 1.5
-24a²- 6a +9 = - 3(8a² +6a - 9) = -3(a - 0.75)(a + 1.5)
