Find the values of cosΘ and tanΘ, given that sinΘ = 8/9 and Θ is in quadrant I

Answers

Answer 1

Answer: $sin^2 \alpha +cos^2 \alpha =1\ \ \ and\ \ \ tan \alpha = \frac{\big{sin \alpha }}{\big{cos \alpha }} \n\nsin \alpha = (8)/(9)\n\n \Rightarrow\ \ \ ((8)/(9))^2+cos^2 \alpha =1\ \ \ \Rightarrow\ \ \ cos^2 \alpha =1- (64)/(81) \ \ \ \Rightarrow\ \ \ cos^2 \alpha = (17)/(81) \n\n \alpha \ \in\ (0^0;90^0)\ \ \ \Rightarrow\ \ \ cos \alpha >0\ \ \ \Rightarrow\ \ \ cos \alpha = ( √(17) )/(9) \n\n$

$tan \alpha = (8)/(9): ( √(17) )/(9) =(8)/(9)\cdot (9)/(√(17))= (8)/(√(17))= (8\cdot √(17))/(√(17)\cdot √(17))=(8\cdot √(17))/(17)$

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Please help me, I got the answer wrong and I don't what to do
Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = x³y + 24x²- 8y local maximum value(s) local minimum value(s). saddle point(s) (x, y, ) =
Which answer describes this series? 2 + 4 + 12 + 48 +... e) Neither arithmetic nor geometric f) Both arithmetic and geometric g) arithmetic h) geometric
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Which theorem proves that the triangles are congruent?A. AAS
B. ASA
C. SAS
D. SSS

Answers

Answer:

SSS

Step-by-step explanation:

We are given that the triangle has all congruent sides therefore we can prove that the triangles are similar by the SSS theorem ( side - side - side )

Answer:

D. SSS

Step-by-step explanation:

SSS (Side-Side-Side) is a proof of congruence where two triangles share three sides.

Factorise fully 6a+10ab

Answers

Answer:

Taking 2a common from the two terms of the equation

$6a + 10ab \n = 2a(3 + 5b)$

2a(3+5b) is the right answer.

Final answer:

To factorize 6a + 10ab fully, we can factor out 2a from both terms, resulting in 2a(3 + 5b).

Explanation:

To fully factorize the expression 6a + 10ab, we can start by finding the greatest common factor (GCF) of the two terms. The GCF here is 2a, so we can factor out 2a from both terms:

6a + 10ab = 2a(3 + 5b)

Therefore, the fully factored form of 6a + 10ab is 2a(3 + 5b).

Learn more about Factorizing expressions here:

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What is the answer 6 7/8 - 1 2/8

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6 7/8
- 1 2/8
_______
5 5/8

Make sense?

6 7/8 - 1 2/8 = 5 5/8 (6 - 1 = 5) (7 - 2 = 5)
The eight stay the same thing because the denominator is the same if the denominator is not the same so we do the lowest common denominator (LCD).

question i like this girl but she keeps throwing me to the curve evertime we get close and just doesnt talk to me but gets with somebody else what does this mean?

Answers

Either she dosent want to admit that she likes you or she dosnt even like u

Answer:

well, she may have her walls up when you are around her. she is scared to hurt you so she just pushes you away instead. My suggestion would be to act like her friend and that every time you work your way closer pretend that its just like in the beginning aka keep pretending your just regular friends nothing more. Then when you notice her starting to open up a little more start working your way out of the friend zone.

Step-by-step explanation:

6,15, 24,..
Find the 50th term.

Answers

Answer:

447

Step-by-step explanation:

a₁ = 6 + 9*0

a₂ = 6 + 9*1

a₃ = 6 * 9 * 2

......

a₅₀ = 6 + 9*49 = 447

Which of the following statements is true about six sigma approach within an organization? Option 1: To minimize the number of defects in processes. Option 2: To maximize profits. Option 3: To reduce employee turnover. Option 4: To increase marketing efforts.

Answers

Answer:

Therefore, the true statement about the Six Sigma approach within an organization is option 1: To minimize the number of defects in processes.

Step-by-step explanation:

The true statement about the Six Sigma approach within an organization is: Option 1: To minimize the number of defects in processes. Six Sigma is a methodology used to improve the quality and efficiency of processes within an organization. It focuses on reducing variability and eliminating defects in order to achieve near-perfect performance. The goal of Six Sigma is to bring the number of defects or errors in a process to a level that is statistically close to zero. By using statistical analysis and data-driven methods, Six Sigma aims to identify and eliminate the root causes of defects and errors in processes. This leads to improved quality, increased customer satisfaction, and reduced costs for the organization. Options 2, 3, and 4 are not true statements about the Six Sigma approach. While Six Sigma can indirectly impact profits, reduce employee turnover, and improve marketing efforts by improving processes and customer satisfaction, these are not its primary objectives.

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