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Semenov [28]
2 years ago
9

Prove the following identity : csc4x−cot4x=csc2x+cot2x .

Mathematics
1 answer:
Elina [12.6K]2 years ago
7 0

Answer: See attached image

Step-by-step explanation:

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Please help me with the following questions. Thanks in advance!!
Orlov [11]

Answer:

Step-by-step explanation:

Eight

590 = 1800 e^(-0.4t)     Divide by 1800

0.32778 = e^(-0.4t)       Put the value for e in the denominator.

0.32778 = 1 / e^(0.4t)   Notice the sign's gone. Multiply both sides by e^(0.4t)

0.32778 *e^(0.4t) = 1    Divide by 0.32778

e^(0.4t) = 3.0508          Take the natural log of both sides.

0.4t = 1.11542                 Divide both sides by 0.4

t = 2.78855

You should put this in the original equation to see if it checks. It does.

=============================

Nine

3^(3 - 3x) + 6 = 42         Subtract 6 from both sides

3^(3 - 3x) = 36               Take the log of both sides.

(3 - 3x) ln(3) = ln 36

(3 - 3x) *1.098612 = 3.58352   Divide by 1.098612

3 - 3x = 3.26186             Subtract 3 from both sides

- 3x = 0.26186                 Divide by - 3

x = - 0.087287    

4 0
3 years ago
Why might a researcher use a sample rather than an entire population for their study?
cestrela7 [59]

Answer:

c

Step-by-step explanation:

its easier to take a group of 100 or something random people than a whole population.

6 0
4 years ago
The sum of 8 times a number and 15 is 7
Bumek [7]
8x+15=7

answer: x= 1 hope this help
5 0
3 years ago
Evaluate. 2/3 - 1/6 <br> Please show an explanation.
Scorpion4ik [409]

Answer:

1/2

Step-by-step explanation:

2/3 - 1/6

Get a common denominator of 6

2/3 *2/2 - 1/6

4/6 - 1/6

3/6

Simplify

1/2

4 0
3 years ago
Read 2 more answers
"Rebecca walks 100 feet in a straight line. She then turns 20 degrees to her left and walks another 100 feet, and then turns 20
iragen [17]

Answer:

1,800 ft

Step-by-step explanation:

Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).

The equation that describes the internal angle of a regular polygon is:

A = \frac{(n-2)*180}{n}

For A = 160 degrees:

160n=(n-2)*180\\(180-160)n=360\\n=18\ sides

If each side is 100 ft long, the total distance that Rebecca has walked is:

d = 18*100\\d=1,800\ ft

She walked 1,800 ft.

5 0
3 years ago
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