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postnew [5]
3 years ago
10

Helppp please its a quiz

Mathematics
1 answer:
Vesna [10]3 years ago
5 0
It’s b hope you get a good grade on the test
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Find cscx if sinx+cotx cosx= sqrt3
valentinak56 [21]

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

5 0
4 years ago
Complete this for me
GrogVix [38]

Answer:

Step-by-step explanation:

1 Kg of carrot = 40 p

1 1/2 Kg of carrot = 40 * \frac{3}{2}  = 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

8 0
3 years ago
Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 5 l
Bezzdna [24]

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:

P_{(n,x)} = \frac{n!}{(n-x)!}

How many serial numbers can be generated

3 letters, from the first five of the alphabet

3 digits, from a set of 10

So

T = P_{5,3}*P_{10,3} = \frac{5!}{(5-3)!}*\frac{10!}{(10-3)!} = 43200

43,200 serial numbers can be generated

8 0
3 years ago
The graph shows two lines, A and B. A coordinate plane is shown. Two lines are graphed. Line A has equation y equals negative 3
AVprozaik [17]

Answer:

Step-by-step explanation:

JUST HERE FOR THE POINTS

5 0
3 years ago
F(x)=-5x. g(x)=8x^2-5x-9. Find: (f*g) (x)
Troyanec [42]
F(x) = -5x
g(x) = 8x² - 5x - 9

(f×g)(x) = ?
= ((-5x)(8x²-5x-9))
= -40x³ + 25x² + 45x → The answer Opsi D
5 0
4 years ago
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