Answer:
3 cm
Step-by-step explanation:
First, find the volume of the cone.
V = 
r²h
V = (3.14)(9)(12)
V = 113.04
This means the sphere is also 113.04
Use the formula V = 
r³
113.04 = (3.14)r³
113.04 = 4.19r³
26.98 = r³
3 ≈ r
The area of a triangle can be determined by knowing 2 sides and their included angle of a certain triangle. Since both sides are equal, then they would just be denoted by a squared entity. This is done as follows:
A = x² sin∅
32 = x² sin (5*pi/6)
Make sure your calculator is in rad form.
32 = x² (1/2)
x = 8
Thus, each side is 8 cm.
If the triangles are similar, the base should be 24 inches. The legs on the first triangle are 12 inches. To get 36 inches (the other triangle), we multiply 12 by 3. 12 x 3 = 36. Because you did that to the legs, you must also do it to the base. 8 x 3 = 24. Therefore, the base of the second triangle is 24 inches.
Answer:
C, The marble is 3 times as likely to be black as it is to be white.
Step-by-step explanation:
The probability of a marble being drawn is:
number of marbles of that color/total number of marbles
Find total number of marbles
5+8+4+15= 35
So the probability of drawing:
white: 5/32
polka dot: 8/32
striped: 4/32
black: 15/32
The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.
The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.
The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.
The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.
Answer:
r = t(r-3)
Step-by-step explanation:
t = r/r-3
r/r-3 = t
r = t x (r-3)
