Answer:
Step-by-step explanation:
Volumes of two spheres A and B = 648 cm³ and 1029 cm³
Things to remember:
1). Scale factor of two objects =
[
and
are the radii of two circles]
2). Area scale factor = ![\frac{(r_1)^2}{(r_2)^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%28r_1%29%5E2%7D%7B%28r_2%29%5E2%7D)
3). Volume scale factor = ![\frac{(r_1)^3}{(r_2)^3}](https://tex.z-dn.net/?f=%5Cfrac%7B%28r_1%29%5E3%7D%7B%28r_2%29%5E3%7D)
Volume scale factor Or Volume ratio = ![\frac{V_A}{V_B}](https://tex.z-dn.net/?f=%5Cfrac%7BV_A%7D%7BV_B%7D)
![\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B648%7D%7B1029%7D%20%7D)
![\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Cfrac%7B6%28%5Csqrt%5B3%5D%7B3%7D%29%7D%7B7%28%5Csqrt%5B3%5D%7B3%7D%29%7D)
![\frac{r_1}{r_2}=\frac{6}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Cfrac%7B6%7D%7B7%7D)
Therefore, scale factor =
≈ 6 : 7
Area scale factor Or area ratio = ![(\frac{r_1}{r_2})^2=(\frac{6}{7})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7Br_1%7D%7Br_2%7D%29%5E2%3D%28%5Cfrac%7B6%7D%7B7%7D%29%5E2)
= ![\frac{36}{49}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B49%7D)
≈ 36 : 49
Volume scale factor or Volume ratio = ![\frac{648}{1029}](https://tex.z-dn.net/?f=%5Cfrac%7B648%7D%7B1029%7D)
= ![\frac{216}{343}](https://tex.z-dn.net/?f=%5Cfrac%7B216%7D%7B343%7D)
≈ 216 : 343
Answer:
36 oz
Step-by-step explanation:
Get the other options down to 12oz units for their price and then you can compare which one is the cheapest for 12oz.
12oz = $1.99
36oz/3 = 12oz so $2.59/3 = $ .86
48oz/4= 12oz so $3.99/4 = $1.00
60oz/5= 12oz so $4.59/5 = $ .92
So looking at the breakdown, the 36oz one is the cheapest because for that price for a third of it comes out to .86 cents.
Usual distance michiko runs= d miles
Time=t
normal speed= r₀
speed today= r₁
According to the question,
r₀= d/t
r₁= d+9/t+70.
Should always be presented while using a factor 2