MATHEMATICS MIDDLE SCHOOL

Cot^2x csc^2x + 2 csc^2x –cot^2 = 2

Answers

Answer 1
Answer:

Answer:

x = π/2 + πk

Step-by-step explanation:

cot² x csc² x + 2 csc² x − cot² x = 2

Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

cot² x + 2 = sin² x + 1

Subtract 1 from both sides:

cot² x + 1 = sin² x

Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

sin x = ±1

Solve for x:

x = π/2 + 2πk, 3π/2 + 2πk

Which simplifies to:

x = π/2 + πk

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Can you please answer the question in the attachment?

Answers

15a) The answer is 3x+10 
b) you could have 3x 4x and 5x 
c) 4x+2 (you add up the 3 expressions and divide by 3) 
I can't see your attachment

Whats 7630918 to the nearest 1000

Answers

7630918 rounded to the nearest 1000 is 7,631,000
The nearest 100 is the third digit in a number to the left of 0.  In this case, that number is 9.  If the number after 9 was greater than 4, the 9 would be rounded up.  However, because 1 is less than 5, the 9 remains the same. 

The answer is 9630900. 

barb is making a bead necklace. she strings 1 white bead then 3 blue beads then 1 white bead and so on. write the numbers for the first 8 beads that are white. what is a rule for the pattern?

Answers

The first 8 white beads in the pattern is 8 white beads because 1+1+1+1+1+1+1+1=8. The pattern is 1 white, 3 blue, 1 white, 3 blue, and keep going on.= the same way.



Hope I helped:)
If Barb starts with a white bead, then a white bead will occur in every subsequent fourth bead. So it will be 1 + 4(7) to find the number of beads strung to get 8 white beads. 

Dividing by 100 gives the same answer as multiplying by what number?explain,and give an example

Answers

Dividing by 100 is the same as multiplying by 1/100 or 0.01, because when you divide by a fraction, in this case 100/1, you actually multiply by the reciprocal, which would be 1/100. For example 4/100 = 4 x 1/100 = 4/100 = 1/25 = 0.04. You can also just move the decimal two place values to the left to divide by 100. For example, 4/100 = 4. /100 = 0.04 = 1/25

Elmer has a collection of 300 fossils. Of those, 21% are fossilized snail shells. How many fossilized snail shells does Elmer have?

Answers

use the percent proportion

 21          x
——  = —— 
100        300

to solve :
21 x 300 = 6300
6300 ÷ 100 = 63

Answer = 63 of Elmer’s shells are fossilized snail shells :)

Protractors cost 16p each how much would 26 protractors cost

Answers

Answer:

The answer is £4.16

Step-by-step explanation:

26 x 16 = 416 = £4.16

Answer:£4.16

Step-by-step explanation: 16 x 26=416 convert into pounds=£4.16
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