Answer:
Diameter = 24 mm
Step-by-step explanation:
Volume of a sphere is 4/3 π
First, we solve for radius:
2304π = 4/3π
Multiply both sides by 3
3(2304π) = 4π
Divide both sides by 4π
6912π/4π =
1728 =
Cuberoot both sides
![\sqrt[3]{1728}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1728%7D)
= r
r= 12
Hence, the diameter would be: 2times the radius = 2*12= 24 mm
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Answer: X = -10
Step-by-step explanation:
Times two to the parentheses
Minus X from both sides, left with 3X-16=-46
Add 16 to both sides 3X=-30
Divide both sides by 3
Answer X=-10
Answer:
Length of base (a) = 5 units
Total Surface Area of Pyramid (T.S.A.) = ?
Now,
T.S.A. = Area of four triangles + Area of base
= 
≈ 
9514 1404 393
Answer:
- A'(-1, 1)
- B'(1, 2)
- C'(0, 1)
Step-by-step explanation:
Reflection across the line y = -x is accomplished by the transformation ...
(x, y) ⇒ (-y, -x)
Then the images of the given points are ...
A(-1, 1) ⇒ A'(-1, 1) . . . . this point is on the line of reflection, so doesn't move
B(-2, -1) ⇒ B'(1, 2)
C(-1, 0) ⇒ C'(0, 1)
Answer:
d⁴y/dx⁴ = -12/x⁴
Step-by-step explanation:
y = 2In x
We want to find d⁴y/dx⁴. This is the fourth derivative.
Using product rule, first derivative is;
dy/dx = 2/x
