Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
Answer:
Y=77/x
Explanation:
Y varies inversely with x meaning
adding a proportionality constant gives
Now, we are told that y = 11 and x = 7; therefore, the above gives
Solving for k gives
Therefore, the function that models the inverse variation is
which is our answer!
19,810 rounded to the nearest hundred is 19,800.
8 is in the hundreds place, and the number 1 is in front of it.
Numbers 1-4 in front of the number make the number stay the same.
Numbers 5-9 in front of the number make the numbers round up one number.
Answer:
36 meters^3
Step-by-step explanation:
Formula: Bh
B=Base area
h=height
to find the base area, multiply 2 and 6
2x6 = 12
B=12
and the height is given, so just insert your numbers into the formula
12x3=36
Answer:
-0.25
Step-by-step explanation:
→ Find fg(x)
2 ( x + 1 )² = 2x² + 4x + 2
→ Find gf(x)
2x² + 1
→ Equate them
2x² + 1 = 2x² + 4x+ 2
→ Move everything to the right hand side
0 = 4x + 1
→ Solve
x = -0.25
