Answer:
See below ↓↓
Step-by-step explanation:
<u>Finding the radius</u>
- C = 2πr
- 25 = 2 x 3.14 x r
- r = 25 / 6.28
- r = 3.98 cm ≅ 4 cm
<u />
<u>Surface Area</u>
- 4πr²
- 4 x 3.14 x 4 x 4
- 3.14 x 64
- 200.96
- <u>201 cm²</u>
<u></u>
<u>Volume</u>
- 4/3πr³ = 4πr² x r/3
- 201 x 4/3
- 67 x 4
- <u>268 cm³</u>
Answer:
-3
Step-by-step explanation:
First step to this is to replace the variables with their coordinated values. Remember to use parentheses.
4(2)-2(2+4)+1=?
We can start to simplify.
4(2)-2(6)+1
Then---
8-12+1
-4+1
Final Answer (-3)
The velocity, slope, of a line is always (y2-y1)/(x2-x1), in this case:
slope=(8-2)/(7-9)=6/-2=-3
m=-3
Answer: 271
Step-by-step explanation:
The formula we use to find the sample size is given by :-
, where 
is the two-tailed z-value for significance level of 
p = prior estimation of the proportion
E = Margin of error.
If prior estimation of the proportion is unknown, then we take p= 0.5 , the formula becomes
Given : Margin of error : E= 0.05
Confidence level = 90%
Significance level 
Using z-value table , Two-tailed z-value for significance level of 
Then, the required sample size would be :
Simplify,
Hence, the required minimum sample size =271
Answer:
See below
Step-by-step explanation:
In the second step there should be (1 - cot x) instead of (1 + cot x)
(1 + tan x) [1 + cot(-x)]
= (1 + tan x) (1 - cot x)
= 1 - cot x + tan x - tan x cot x
= 1 - cot x + tan x - 1
= tan x - cot x
