Answer:
The correct answer is 2.912 cm.
Step-by-step explanation:
A company is designing a new cylindrical water bottle.
Volume of a cylinder is given by π × 
× h, where h is the height of the cylinder and r is the radius of the cylinder.
The volume of each bottle will be 211 
.
The height (h) of the water bottle be 7.9 cm.
Let the radius of the bottle be r cm.
∴ π × × h = 211 ; (π = 3.15)
⇒ × 24.885 = 211
⇒ r = 2.912
The radius of the water bottle is 2.912 cm.
Answer:
Step-by-step explanation:
R = 9x + 8y
4 = 9x + 8*8
4 = 9x + 64
Subtract 64 from both sides
4 - 64 = 9x + 64 - 64
-60 = 9x
Divide both sides by 9
-60/9 = 9x/9
-20/3 = x
x = -6 2/3
Answer:
C = 14 pi inches
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
49 pi = pi r^2
Divide each side by pi
49 pi/pi = pi /pi r^2
49 = r^2
Take the square root of each side
7 = r
The circumference is given by
C = 2 * pi *r
C = 2 * pi *7
C = 14 pi inches
Let d represent number of days and n represent number of workers.
We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.
We know that the equation 
represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be 
Upon substituting our given values, we will get:
Since constant of proportionality is 665, so our equation would be 
.
To find the number of days it will take to build a similar house with 5 workers, we will substitute 
in our equation as:
Therefore, it will take 133 days for 5 workers to build a similar house.
Answer:
Step-by-step explanation:
According to the first expression:
2(10-k): where,
2:shows the double amount of money which ELI has
10:shows the amount of money which ELI had at the starting.
k:shows the amount of money which is lost.
10-k:shows the amount of money which ELI has after losing some amount.
According to the second expression:
20-2k where,
20:shows the twice of initial amount.
k: is the amount of money which is lost
2k:s hows the twice of amount which is lost
20-2k: shows the amount of money which is left with ELI after his mom gave him some money....
