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mariarad [96]
2 years ago
8

PLEASE HELP: if √3 cos x - sin x = B cos(x+θ), show that b cosθ = √3 and b sin θ = 1

Mathematics
1 answer:
Lesechka [4]2 years ago
7 0

Step-by-step explanation:

See attached image for proof

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Question 10 Express 40 as a product of prime factors​
Step2247 [10]

Answer:

2 x 2 x 2 x 5

Step-by-step explanation:

The first few prime numbers:  {2, 3, 5, 7, 11, 13, 17, 19}

One way to start is to divide by the first prime until you can't do that any more, then try the next prime and so on until all the numbers in your list are prime.

40 = 2(20)  divide 20 by 2 again

40 = 2(2)(10)  divide 10 by 2 again

40 = 2(2)(2)(5) stop--all factors are prime.

5 0
3 years ago
A "child has six blocks, three of which are red and three of which are green". How many patterns can shemake by placing them all
makvit [3.9K]

Answer: There are 20 ways and 1680 ways respectively.

Step-by-step explanation:

Since we have given that

Total number of blocks = 6

Number of red blocks = 3

Number of green blocks = 3

So, Number of patterns she can make by placing them all in a line is given by

\dfrac{6!}{3!\times 3!}\\\\=20

If there are 3 white blocks

so, total number of white blocks becomes 9

So, Number of total pattern she can make by placing all nine blocks in a line is given by

\dfrac{9!}{3!\times 3!\times 3!}\\\\=1680\ ways

Hence, there are 20 ways and 1680 ways respectively.

6 0
3 years ago
From $80 to $64 *<br> Percent decrease
pashok25 [27]

Answer:

20%

Step-by-step explanation:

hope this helps! can i have brainliest?

8 0
3 years ago
How did you apply proportional reasoning as you worked through these problems?
pogonyaev

Answer:

youll have to show the problems to get an answer!

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Jake and Danny agree to share the cost of renting a house for $1100. If Jake agrees to pay $250 more than Danny, how much money
SVEN [57.7K]

Step-by-step explanation:

First divide 1100 by 2

550

Now that would be the amount the both of them would have to pay if they were splitting it equally. Since there not add 250 to 550.

250+550=800

Finally subtract 250 from 550

550-250=300

Jake has to pay $550

Danny has to pay $300

7 0
3 years ago
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