Answer:
a₁ = -21 (Given)
a₂ = -28
a₃ = -35
a₄ = -42
Step-by-step explanation:
First term a₁ = -21 (Given)
…………………………………
Second term a₂ :
a₂ = 
…………………………………
Third term a₃ :
a₃ = 
…………………………………
Fourth term a₄ :
a₄ = 
<span>(a+7) * (a-4)
a^2 - 4a + 7a - 28
a^2 + 3a - 28</span>
Answer: The answer is (a) sec A = 11 over 3.
Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,
i.e.,

And we need to find which one of the given four options is correct.
We have the following relations between cosine, secant and cosecant of an angle from trigonometry.

Therefore,

and

Thus, the correct option is (a) sec A = 11 over 3.
Answer:
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water
Step-by-step explanation:
1 batch
Yellow water = 3 teaspoons
Red water = 1 teaspoons
Yellow water : Red water = 3 : 1
2 batches of orange water
Multiply the ratios by 2
Yellow water : Red water
= (3 : 1) * 2
= 6 : 2
2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water
4 batches of orange water
Multiply the ratios by 4
Yellow water : Red water
= (3 : 1) * 4
= 12 : 4
4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water