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
2 miles = 3520 yards
FORMULA multiply the length value by 1760
X ·2 = 12x - 15
2x = 12x - 15
2x + (-12x) = (12x - 15) + (-12x)
Result: x = 3/2
Sum:
3x^5*y - 2x^3*y^4 - 7x*y^3
+ -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
-5x^5y - 6xy^3
Term 1: Degree = 6
Term 2: Degree = 4
Difference:
3x^5*y - 2x^3*y^4 - 7x*y^3
- -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
11x^5y - 4<span>x^3*y^4 - 8</span>xy^3
Term 1: Degree = 6
Term 2: Degree = 7
Term 3: Degree = 4
The degree of a term of a polynomial can be obtained by adding the exponents of the variables in that term.
Answer:
1/6
Step-by-step explanation:
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