Basically, r=2t
A(r)=pir^2
sub 2t for r
A(2t)=pi(2t)^2
A(2t)=4pit²
A. A=4pit²
B. t=5
A=4pi5²
A=4pi25
A=100pi
A=314 square units
1) How many weeks will Jake and Seth be equal? set the equations equal to each other and solve for x:
5x + 85 = 20x + 40
45 = 15x
<u><em>x = 3 weeks</em></u>
2) How much money will that be? plug x = 3 back into the equation to solve for y:
Jake: 5(3) + 85 = $100
Seth: 20(3) + 40 = $100
<u><em>answer is $100</em></u>
Expand it
-(x+3)^2-1
-(x+3)(x+3)-1
-1(x^2+3x+3x+9)-1
-1(x^2+6x+9)-1
-x^2-9x-9-1
-x^2-9x-10
f(x)=-x^2-9x-10
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.
