First off,we can find out how much an oz cost for each package:
Package of brown rice:
0.79÷16
=$0.049375
≈$0.049
Package of white rice:
3.99÷32
=$0.1246875
≈$0.125
Price of brown rice:$0.049 < price of white rice:$0.125
Therefore,brown rice is a better deal as it is cheaper.
Hope it helps!
Solution:
![$h=\frac{ A-2\pi r^2}{2\pi r }](https://tex.z-dn.net/?f=%24h%3D%5Cfrac%7B%20A-2%5Cpi%20r%5E2%7D%7B2%5Cpi%20r%20%7D)
Given data:
![A=2\pi r^2+2\pi r h](https://tex.z-dn.net/?f=A%3D2%5Cpi%20r%5E2%2B2%5Cpi%20r%20h)
Let us determine what is h using given A.
![A=2\pi r^2+2\pi r h](https://tex.z-dn.net/?f=A%3D2%5Cpi%20r%5E2%2B2%5Cpi%20r%20h)
Subtract
on both sides of the expression.
⇒ ![A-2\pi r^2=2\pi r^2+2\pi r h-2\pi r^2](https://tex.z-dn.net/?f=A-2%5Cpi%20r%5E2%3D2%5Cpi%20r%5E2%2B2%5Cpi%20r%20h-2%5Cpi%20r%5E2)
⇒ ![A-2\pi r^2=2\pi r^2-2\pi r^2+2\pi r h](https://tex.z-dn.net/?f=A-2%5Cpi%20r%5E2%3D2%5Cpi%20r%5E2-2%5Cpi%20r%5E2%2B2%5Cpi%20r%20h)
⇒ ![A-2\pi r^2=2\pi r h](https://tex.z-dn.net/?f=A-2%5Cpi%20r%5E2%3D2%5Cpi%20r%20h)
Divide both sides of the expression by
.
![$\frac{ A-2\pi r^2}{2\pi r }=\frac{2\pi rh }{2\pi r }](https://tex.z-dn.net/?f=%24%5Cfrac%7B%20A-2%5Cpi%20r%5E2%7D%7B2%5Cpi%20r%20%7D%3D%5Cfrac%7B2%5Cpi%20rh%20%7D%7B2%5Cpi%20r%20%7D)
![$\frac{ A-2\pi r^2}{2\pi r }=h](https://tex.z-dn.net/?f=%24%5Cfrac%7B%20A-2%5Cpi%20r%5E2%7D%7B2%5Cpi%20r%20%7D%3Dh)
![$h=\frac{ A-2\pi r^2}{2\pi r }](https://tex.z-dn.net/?f=%24h%3D%5Cfrac%7B%20A-2%5Cpi%20r%5E2%7D%7B2%5Cpi%20r%20%7D)
Option C is the correct answer.
Hence
.
Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
11x11=121
$140-121=19
19/7=
It would take approximately 2hours and 71 minutes to meet her requirements.
5/6 is not the definite ratio, when you take a larger sample size it could be off by a bit like 499/600 or 501/600