Answer:
a) The center coordinates O is (0,0)
b) The radius C = 15
Step-by-step explanation:
The given equation of the circle is : 
Now, general form of the equation of the circle is:

where (h,k) are the center co -ordinates and r is the radius of the circle.
Comparing the general equation with the given equation, we get

So, here the center coordinates (h,k) = (0,0)
And the radius of the given circle is r = 15
formula for volume of a sphere is V=4/3 x pi x R63
if diameter = 16 than radius = 16/2 = 8
so the equation would be 4/3 x pi x 8^3
ANSWER

EXPLANATION
The given inequality is,

By the definition of absolute value,

We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

We simplify now to get,


Divide through by 2 to obtain,
Answer:-1)The three sets of approximation of time will be
Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)
≈35.41s (to the nearest hundredth)
≈35.5 seconds(to the nearest tenth)
2)Time by the ball to hit the ground =35.5 seconds
Step-by-step explanation:
Time taken to fall tennis ball from height of 60 feet = 0.25 √60 s
So,time taken to fall tennis ball from height of 1 foot =0.25√60 divided by 60=
We know that 1 m = 0.3048 foot
⇒60 m =60×0.3048=18.288 feet
therefore, Time taken to fall tennis ball from height of 60 m = 18.288 ×time taken to fall tennis ball from height of 1 foot=
∴Time taken to fall tennis ball from height of 60 m =35.41014 s ≈35.410 s (to the nearest thousandth)
≈35.41s (to the nearest hundredth)
≈35.5 seconds(to the nearest tenth)
Answer:
Step-by-step explanation:
1. Write an expression to show how to calculate the number of buses needed. Make sure to include parenthesis to show what should be done first since order of operations is important.
(9*25)+4+(2*4)=237 (total number of people going to the museum
Each bus,excluding the driver,holds 44 people
237/44 = 5.3863636363.......
2. How many buses will be needed?
6 buses are needed
3. Why must the answer to the problem be a whole number?
Buses cannot be divided in fractions It should be or 5 buse or 6
But 5 buses are not enough
4. Why shouldn't you round the answer the usual way?
Even when rounded it is still a decimal and buses need to be counted by whole number
5. Can your answer be classified as a rational number? Explain why or why not.
6 is a rational number (whole number)
5.38636363.......is rational ( repeating decimal