Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
Answer:
89,709
Step-by-step explanation:
∡Z= 54°
tan 54 = XY / 361
XY = 361 · tan 54°
XY = 497
A = 1/2 (361) (497)
Supplementary angles will always add up to 180. If you had a straight line, and you drew another line across that line, the two angles on either side of that line would add up to 180 because a flat line is equal to 180 degrees.
Slope of AB=(2-3)/(1+1)=-1/2; AC=(-1-3)/(-3+1)=-4/-2=2; BC=(-1-2)/(-3-1)=-3/-4=3/4.
The product of two sides that are perpendicular is -1. Slopes of AB and AC are perpendicular so angle A is a right angle. ABC is a right-angled triangle.
