Here is the method for solving that equation:
Step #1: Write the equation:
-15x = 0
Step #2: Divide each side of the equation by -15 :
<u>x = 0</u>
Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
Answer:
ΔRHS ≅ ΔNKW
Step-by-step explanation:
We are given that, in the triangles RHS and NKW.
∠H = ∠K
Side HS = KW.
∠S = ∠W
Now, using the ASA congruence criteria, which states that when two corresponding angles of the triangles are equal with the included side between them is equal, then both the triangles are congruent.
Hence, according to ASA criteria, ΔRHS ≅ ΔNKW.
A fish is 12 Meters below the surface of the ocean. What is the elevation it is -12
Y = 3x/4 - 1
Taking (-1-2)/(0-4) gives the slope of the line to be 3/4. Substituting x = 0 gives the y-intercept as -1.
