Answer:
Step-by-step explanation:
The answer is 36
Multiply each side by 9
9 times for and 9 times n/9
The n/9 will cancel out so you are left with n= 9 times 4
This comes to 36
Answer:
a. 5177 cm³
b. 3,451 cm³
c. 67%
Step-by-step explanation:
Given:
Diameter of each ball (d) = 13 cm
Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm
Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm
a. Volume of cylinder = πr²h
Plug in the values
Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³
b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)
Plug in the value
Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³
c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100
Plug in the values
= 3,451/5177 × 100
= 66.6602279
≈ 67%
9514 1404 393
Answer:
A. 9.6
B. √92 ≈ 9.59
Step-by-step explanation:
A. 9.6 is a rational number between 9.5 and 9.7. It is rational because it is a terminating decimal.
__
B. √92 is an irrational number between 9.5 and 9.7. It is irrational because it is the square root of an integer that is not a perfect square. Its decimal value is about 9.59.
Answer:
-2
Step-by-step explanation:
Let x be the unknown value
Log₆ ( 1/36) = x
( 1/36) = 36⁻¹ = (6²)⁻¹ = 6⁻²
Log₆ ( 1/36) = Log₆
6⁻² = -2 Log₆
6
Log₆
6 = 1
-2 Log₆
6 = -2(1) = -2
