J, P, and L can each eat ice cream at respective rates of
in gallons of ice cream per hour (gal/hr).
We're given that
![\dfrac1j+\dfrac1p=\dfrac12](https://tex.z-dn.net/?f=%5Cdfrac1j%2B%5Cdfrac1p%3D%5Cdfrac12)
![\dfrac1p+\dfrac1\ell=\dfrac13](https://tex.z-dn.net/?f=%5Cdfrac1p%2B%5Cdfrac1%5Cell%3D%5Cdfrac13)
![\dfrac1j+\dfrac1p+\dfrac1\ell=1](https://tex.z-dn.net/?f=%5Cdfrac1j%2B%5Cdfrac1p%2B%5Cdfrac1%5Cell%3D1)
We want to find
. Subtracting the second equation from the third gives
![\left(\dfrac1j+\dfrac1p+\dfrac1\ell\right)-\left(\dfrac1p+\dfrac1\ell\right)=1-\dfrac13](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac1j%2B%5Cdfrac1p%2B%5Cdfrac1%5Cell%5Cright%29-%5Cleft%28%5Cdfrac1p%2B%5Cdfrac1%5Cell%5Cright%29%3D1-%5Cdfrac13)
![\implies\dfrac1j=\dfrac23](https://tex.z-dn.net/?f=%5Cimplies%5Cdfrac1j%3D%5Cdfrac23)
so J can eat 2 gallons of ice cream in 3 hours, or 2/3 of a gallon per hour, so that it would take her 3/2 hours, or 1.5 hours, to eat 1 gallon on her own.
If you draw out a rectangle, two opposite sides will be 10 feet and the other two sides we will label as x.
The perimeter of a rectangle is adding up all the sides, so if you add up all those sides you get
x + x + 10 + 10
we know the perimeter is 28 feet, so we know
x + x + 10 + 10 = 28
now we can solve for x
x + x + 10 + 10 = 28
2x + 20 = 28
2x = 8
x = 4
one of the other sides is 4 feet
Answer:
The measure of the central angle whose radii define the arc is ![\mathbf{\frac{4\pi }{5} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B4%5Cpi%20%7D%7B5%7D%20%7D)
Step-by-step explanation:
Radius of circle = 10 cm
Length of arc = ![8\pi](https://tex.z-dn.net/?f=8%5Cpi)
We need to find Theta ![\theta](https://tex.z-dn.net/?f=%5Ctheta)
The formula used will be: ![S=r \theta](https://tex.z-dn.net/?f=S%3Dr%20%5Ctheta)
S= length of arc, r = radius and
= angle
Putting values and finding \theta
![S=r \theta\\8\pi =10 \theta\\\theta=\frac{8\pi }{10} \\\theta=\frac{4\pi }{5}](https://tex.z-dn.net/?f=S%3Dr%20%5Ctheta%5C%5C8%5Cpi%20%3D10%20%5Ctheta%5C%5C%5Ctheta%3D%5Cfrac%7B8%5Cpi%20%7D%7B10%7D%20%5C%5C%5Ctheta%3D%5Cfrac%7B4%5Cpi%20%7D%7B5%7D)
So, the measure of the central angle whose radii define the arc is ![\mathbf{\frac{4\pi }{5} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B4%5Cpi%20%7D%7B5%7D%20%7D)
Answer:
if justin races his fird 3,600meters in 60seconds, his average speed is 60 feet per second
Answer:
khing chong
Step-by-step explanation: