Use the identity
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x = 1 + tan^2x - 2 tan x
0 = -2 tanx
tan x = 0
x = 0, π
π is an extraneous root because sec 180 = -1
So the answer is 0 degrees
Supplementary angles.
This is because supplementary angles are two angles that add up to 180 degrees, and these two angles would add up to 180 degrees.
Answer
29/6 or 4 5/6
Step-by-step explanation:
1. Find a common denominator
2. Common denominator is 6 Remember - multiply by a - gives you a positive.
3. Rewrite 6/6 -4/6 +27/6
4. Add the numerators together to get 29
5. Answer is 29/6 or as a mixed number 4 5/6
Answer:
<em>p = ± q / 5r + 8; Option D</em>
Step-by-step explanation:
We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;
q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,
p^2 - 16p + 64,
( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,
( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,
q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,
q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,
q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,
| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,
| p - 8 | = q / 5r,
| p | = q / 5r + 8,
<em>Answer; p = ± q / 5r + 8; Option D</em>
The type of sampling method proposed is a <u>convenience sampling</u> because it's a non-probability sampling method.
<h3>What is
convenience sampling?</h3>
Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.
The CEO could implement the second sampling method as follows:
- Assign a serial number to each employees of the total 4,700 employee names.
- Use a random number generator software to obtain 600 random numbers.
- The 600 random numbers in Step 2 above forms the desired sample of 600 employees out of 4,700 employees at the company.
Read more on convenience sampling here: brainly.com/question/1445924
#SPJ1
