Answer:
The answer is (d) ⇒ cscx = √3
Step-by-step explanation:
∵ sinx + (cotx)(cosx) = √3
∵ sinx + (cosx/sinx)(cosx) = √3
∴ sinx + cos²x/sinx = √3
∵ cos²x = 1 - sin²x
∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M
∴ (sin²x + 1 - sin²x)/sinx = √3
∴ 1/sinx = √3
∵ 1/sinx = cscx
∴ cscx = √3
Answer:
Step-by-step explanation:
1 Kg of carrot = 40 p
1 1/2 Kg of carrot = 40 *
= 20 * 3 = 60 p = £ 0.60
1 kg of potato = 52 p
3 kg of potato = 52 *3 = 156 p = £1.56
1 box of tea bags = 90 p
Number of boxes for £1.80 = 1.80 ÷ 0.90 = 2 boxes
4 packs of yogurt = £4.80
1 pack of yogurt = 4.80 ÷ 4 = £1.20
Total = 0.60 + 1.56 + 1.80 +4.80 = £ 8.76
Answer:
43,200 serial numbers can be generated
Step-by-step explanation:
The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

How many serial numbers can be generated
3 letters, from the first five of the alphabet
3 digits, from a set of 10
So

43,200 serial numbers can be generated
Answer:
Step-by-step explanation:
JUST HERE FOR THE POINTS
F(x) = -5x
g(x) = 8x² - 5x - 9
(f×g)(x) = ?
= ((-5x)(8x²-5x-9))
= -40x³ + 25x² + 45x → The answer Opsi D