Hello,
The answer is option B "false".
Reason:
The answer is option B because the way to fine the inverse of a function is doing a horizontal line test therefore the answer is B.
If yo need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Answer: ![x=\dfrac{3240}{83}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B3240%7D%7B83%7D)
Step-by-step explanation:
Given: 83 : 45 :: 72 : ?
Let unknown quantity (?) be x.
Now, x : y :: a : b
![\Rightarrow\ \dfrac{x}{y}=\dfrac{a}{b}](https://tex.z-dn.net/?f=%5CRightarrow%5C%20%5Cdfrac%7Bx%7D%7By%7D%3D%5Cdfrac%7Ba%7D%7Bb%7D)
83 : 45 :: 72 : x
![\Rightarrow\ \dfrac{83}{45}=\dfrac{72}{x}\\\\\Rightarrow\ x=\dfrac{72}{83}\times45\\\\\Rightarrow\ x=\dfrac{3240}{83}](https://tex.z-dn.net/?f=%5CRightarrow%5C%20%5Cdfrac%7B83%7D%7B45%7D%3D%5Cdfrac%7B72%7D%7Bx%7D%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%5Cdfrac%7B72%7D%7B83%7D%5Ctimes45%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%5Cdfrac%7B3240%7D%7B83%7D)
Hence, ![x=\dfrac{3240}{83}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B3240%7D%7B83%7D)
in essence, how many times does 1¾ go into 15?
first off, let's convert the mixed fraction to improper, and then divide them.
![\bf \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\\\ \cfrac{\quad 15\quad }{\frac{7}{4}}\implies \cfrac{\quad \frac{15}{1}\quad }{\frac{7}{4}}\implies \cfrac{15}{1}\cdot \cfrac{4}{7}\implies \cfrac{60}{7}\implies 8\frac{4}{7}](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B4%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B%5Cquad%2015%5Cquad%20%7D%7B%5Cfrac%7B7%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B%5Cquad%20%5Cfrac%7B15%7D%7B1%7D%5Cquad%20%7D%7B%5Cfrac%7B7%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B15%7D%7B1%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B7%7D%5Cimplies%20%5Ccfrac%7B60%7D%7B7%7D%5Cimplies%208%5Cfrac%7B4%7D%7B7%7D%20)
Answer:
12 cm³
Step-by-step explanation:
the volume of the sphere = 4/3 πr³
the volume of the cylinder (h=2r)= πr².2r
= 2πr³
the volume ratio of S : C =
4/3 πr³ : 2 πr³
= 4/3 : 2
= 4 : 6
= 2 : 3
so, the volume of the Sphere =
2/3 × 18 = 12 cm³
It's B because a family needs entertainment to know how to cooperate