Answer:
Circumference = PI * diameter
Circumference = 3.14159 * 14
Circumference = 43.98226 inches
Area = PI * radius^2
Area = PI * 7^2
Area = PI * 49
Area = 153.9380400259 square inches
Step-by-step explanation:
Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
Answer:
There are 230 seats in the auditorium
Row 51 contains 203 seats.
Step-by-step explanation:
Equation: y = 3x + 50
3x is the rate at which the seats are and 50 is the the starting point.
y = 3(51) + 50
y = 203
Row 51 contains 203 seats.
y = 3(60) + 50
y = 180 + 50
y = 230
There are 230 seats in the auditorium
Answer:
the answer is a decimal :
0.000386249517
Step-by-step explanation:
Answer:
30 students
Step-by-step explanation:
Yesterday: 1/3 of the 75 students (75 / 3) = 25 students
There are now 50 students remaining to give their speeches.
Today: 2/5 of the 50 students (50 / 5 = 10 x 2 ) = 20 students
50 - 20 = 30 students remaining to give their speeches.