Answer:
C
Step-by-step explanation:
You divide first than you get ur fraction
<h2>
Hello!</h2>
The answer is:
The correct option is:
C) ![4^{3}*4^{4}=4^{7}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D%3D4%5E%7B7%7D)
<h2>
Why?</h2>
To solve the problem, we need to remember the product of powers with the same base property, the property is defined by the following relation:
![a^{m}*a^{n}=a^{m+n}](https://tex.z-dn.net/?f=a%5E%7Bm%7D%2Aa%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D)
If we are multiplying two or more powers with the same base, we must keep the base and add/subtract the exponents.
So, we are given the expression:
![4^{3}*4^{4}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D)
We can see that both powers have the same base (4), so solving we have:
![4^{3}*4^{4}=4^{4+3}=4^{7}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D%3D4%5E%7B4%2B3%7D%3D4%5E%7B7%7D)
Hence, we have that the correct option is:
C) ![4^{3}*4^{4}=4^{7}](https://tex.z-dn.net/?f=4%5E%7B3%7D%2A4%5E%7B4%7D%3D4%5E%7B7%7D)
Have a nice day!
Answer:
45 minutes have passed
Step-by-step explanation:
1 degree = 1 minute
Answer:
- CSA of the cylinder = 440 sq. cm
- Volume of the cylinder = 1540 cu. cm
![\\](https://tex.z-dn.net/?f=%5C%5C)
Step-by-step explanation:
Given:
- Radius of the cylinder = 7 cm
- Height of the cylinder = 10 cm
![\\](https://tex.z-dn.net/?f=%5C%5C)
To Find:
- Curved surface area
- Volume
![\\](https://tex.z-dn.net/?f=%5C%5C)
Solution:
![\\](https://tex.z-dn.net/?f=%5C%5C)
Using formula:
![\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA \: of \: cylinder = 2\pi rh}}}}}} \: \star \\ \\](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%7B%20%5Cunderline%7B%20%5Cboxed%7B%20%5Cpmb%7B%20%5Csf%7B%20%5Cpurple%7BCSA%20%20%5C%3A%20of%20%20%5C%3A%20cylinder%20%3D%202%5Cpi%20rh%7D%7D%7D%7D%7D%7D%20%20%5C%3A%20%20%5Cstar%20%5C%5C%20%20%5C%5C%20)
<em>Substituting the required values: </em>
![\\](https://tex.z-dn.net/?f=%5C%5C)
![\dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times \dfrac{22}{7} \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times 22 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 44 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 440 \: {cm}^{2} \\ \\ \\](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%5Csf%20CSA%20%7B%28cylinder%29%7D%20%3D%202%20%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7D%20%5Ctimes%207%20%5Ctimes%20%2010%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%3C%2Fp%3E%3Cp%3E%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%5Csf%20CSA%20%7B%28cylinder%29%7D%20%20%3D%202%20%5Ctimes%2022%20%5Ctimes%2010%20%5C%5C%20%20%5C%5C%20%5C%5C%20%20%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%5Csf%20CSA%20%7B%28cylinder%29%7D%20%3D%2044%20%5Ctimes%2010%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%5Csf%20CSA%20%7B%28cylinder%29%7D%20%20%3D%20440%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20%20%5C%5C%20%5C%5C%20%5C%5C%20)
Now,
![\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}= \pi {r}^{2} h}}}}}} \: \star \\ \\ \\](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%7B%20%5Cunderline%7B%20%5Cboxed%7B%20%5Cpmb%7B%20%5Csf%7B%20%5Cpurple%7BVolume%20%7B%28cylinder%29%7D%3D%20%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h%7D%7D%7D%7D%7D%7D%20%20%5C%3A%20%20%5Cstar%20%5C%5C%20%20%5C%5C%20%5C%5C%20)
<em>Substituting the required values, </em>
![\\](https://tex.z-dn.net/?f=%5C%5C)
![\dashrightarrow \: \: \sf Volume {(cylinder)}= \dfrac{22}{7} \times {(7)}^{2} \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= \frac{22}{7} \times 49 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 22 \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 1540 {cm}^{3} \\ \\ \\](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%20%5Csf%20Volume%20%7B%28cylinder%29%7D%3D%20%20%5Cdfrac%7B22%7D%7B7%7D%20%20%5Ctimes%20%20%7B%287%29%7D%5E%7B2%7D%20%20%5Ctimes%2010%20%5C%5C%20%5C%5C%20%20%5C%5C%20%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%20%5Csf%20Volume%20%7B%28cylinder%29%7D%3D%20%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%2049%20%20%5Ctimes%2010%20%5C%5C%20%5C%5C%20%5C%5C%20%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%20%5Csf%20Volume%20%7B%28cylinder%29%7D%3D%2022%20%5Ctimes%207%20%5Ctimes%2010%20%5C%5C%20%5C%5C%20%20%5C%5C%20%20%5Cdashrightarrow%20%5C%3A%20%20%5C%3A%20%20%20%5Csf%20Volume%20%7B%28cylinder%29%7D%3D%201540%20%7Bcm%7D%5E%7B3%7D%20%20%5C%5C%20%5C%5C%20%5C%5C%20)
Hence,
- CSA of the cylinder = 440 sq. cm
- Volume of the cylinder = 1540 cu. cm
Answer:
x>10
Step-by-step explanation:
-2x<24-4
-2x<20
x>10