Answer:
dx/dt = 0,04 m/sec
Step-by-step explanation:
Area of the circle is:
A(c) =π*x² where x is a radius of the circle
Applying differentiation in relation to time we get:
dA(c)/dt = π*2*x* dx/dt
In this equation we know:
dA(c)/dt = 0,5 m²/sec
And are looking for dx/dt then
0,5 = 2*π*x*dx/dt when the area of the sheet is 12 m² (1)
When A(c) = 12 m² x = ??
A(c) = 12 = π*x² ⇒ 12 = 3.14* x² ⇒ 12/3.14 = x²
x² = 3,82 ⇒ x = √3,82 ⇒ x = 1,954 m
Finally plugging ths value in equation (1)
0,5 = 6,28*1,954*dx/dt
dx/dt = 0,5 /12.28
dx/dt = 0,04 m/sec
Answer:
1500
Step-by-step explanation:
STEP 1 900 = 60% × Y
STEP 2 900 =
60
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 60 we will arrive at:
STEP 3 Y = 900 ×
100
60
STEP 4 Y = 900 × 100 ÷ 60
STEP 5 Y = 1500
Because 4 is in the 10's place and 14's 4 is also in the tens place
The average rate of change between 1991 and 1996 is 40 million
<h3>How to determine the average rate of change between 1991 and 1996?</h3>
The given parameters are:
Population in 1991 = 1.5 billion
Population in 1996 = 1.7 billion
The average rate of change between 1991 and 1996 is calculated as:
Rate = (1.7 billion -1.5 billion)/(1996 - 1991)
Evaluate
Rate = 40 million
Hence, the average rate of change between 1991 and 1996 is 40 million
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Answer:
600 seats
Step-by-step explanation:
We know there is 120 seats on a balcony and that is
of the total seats, we want to find the total number of seats so,
120 seats = 
We know that a whole fraction sums to 1 so for example 
120 seats = 
Multiply both sides to make it a whole fraction
600 seats = 
So if there is 120 seats and that number is only
of the total number of seats then the total number of seats is 600