Circumference = 2(pi)(r)
14 = 2(pi)(r)
14/2pi = r
7pi = radius
diameter = 2r
diameter = 14pi
Answer:
200 kilometers
Step-by-step explanation:
since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.
An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.
Answer:
Let the two positive number be x and y.
Assume ![x>y](https://tex.z-dn.net/?f=x%3Ey)
From the given condition: The sum of 2 positive number is 151 and the lesser number is 19 more than the square root of the greater number.
then we have,
.....[1]
![y= 19+\sqrt{x}](https://tex.z-dn.net/?f=y%3D%2019%2B%5Csqrt%7Bx%7D)
Substitute the value of
in equation [1],
![x+19+\sqrt{x} =151](https://tex.z-dn.net/?f=x%2B19%2B%5Csqrt%7Bx%7D%20%3D151)
Subtract 19 from both the sides, we get
![x+\sqrt{x}+19-19=151-19](https://tex.z-dn.net/?f=x%2B%5Csqrt%7Bx%7D%2B19-19%3D151-19)
on simplify:
or
![\sqrt{x} =132-x](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%3D132-x)
squaring both the sides, we get
![(\sqrt{x} )^2=(132-x)^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bx%7D%20%29%5E2%3D%28132-x%29%5E2)
Using Identities
on right hand side of above expression:
or
or we can write it as:
![x^2-265x+17424 =0](https://tex.z-dn.net/?f=x%5E2-265x%2B17424%20%3D0)
By, solving above quadratic equation we get,
x =121
to find the value of y:
![x+y=151](https://tex.z-dn.net/?f=x%2By%3D151)
Substitute the value of x in above equation to get value for y:
⇒ y= 30
The value of greatest number minus the lesser would be x-y, i.e, 121-30 = 91
Answer:
Step-by-step explanation:
CAROLINA ate 1/6 of 3 pounds = 0.5 pounds
Emma ate 5/6 of 3 pounds of blueberry = 2.5 pounds.
Answer:
12 + 3 = ?
Step-by-step explanation:
Because x -3 is 12, so 12 plus 3 must equal x.