Answer:
Step-by-step explanation:
The equation given calculates the derivative of the height in relation to the time, that is, the rate of change of the height. To find the equation for the height, we need to integrate this equation:
Multiplying both sides by 'dt', we have:
Using the integral in both sides:
So the height after t years is represented by this equation:
Step-by-step explanation:
given
y is directly to x
to remove directly we use constant let constant be k
y=k x. (1)
let calculate value of k
as it is given
y=50 when x=5
so put in above equation (1)
50=k(5)
50/5=k
10=k
now let find y when x =11
in above equation put the value of x and k
y=10×11
y= 110
Answer:
The area of the figure is 16
Step-by-step explanation:
If you look closely there are four squares inside the figure so you get the area of one square and times it by four for the area of 16.
All you have to do is add 125 by 75 and you get 200. Now you have to subtract 500 by 200 which is 300 and here you go your answer is 300. The bookstore has to sell 300 more books in order to sell 500 books by friday
Answer:
π/8 radians
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?
SOLUTION
✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.
Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)
Within the 1hour minutes, the hand can move with complete cycle of 2π radians
Then At time t= 45minutes
Angle through the circle at 45 minutes= 45/60 ×2π radians
= 3π/2 radians
And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians
For t=45 minutes
Then 1/12 × 2π ×45/60
= π/8 radians
Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.
