Answer:
2110 cm³
Step-by-step explanation:
Volume = V1 + V2,
Where V1 is the volume of the pyramid, and V2 is the volume of half cylinder
V1 = ⅓×(Base area)×height
V1 = ⅓×(12.6×21.5)×8.5 = 767.55
V2 = ½×(pi×r²×h)
r = 12.6÷2 = 6.3
V2 = ½×(pi×6.3²×21.5) = 1340.415
Volume = V1 + V2
= 767.55 + 1340.415
= 2107.965
= 2110 cm³ (3 sf)
2x/5 - X/2 = 40
LCD = 10
2•(2x/5) - 5•(X/2) = 40
4x/10 - 5x/10 = 40
4x-5x/10 = 40
-X/10 = 40
10•(-X/10) = 40 • 10
-X = 400
-X/-1 = 400/-1
X = -400.
I believe the solution is that X = -400.
Answer:
1/36
Step-by-step explanation:
When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.
The coefficient of the squared term is 1/36.
Answer:
AED = 136
Step-by-step explanation:
AED and DEB form supplementary angles, which mean they add to 180 degrees.
AED + DEB = 180
AED +44 = 180
Subtract 44 from each side
AED +44-44 = 180-44
AED = 136
