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bixtya [17]
1 year ago
11

Find all solutions of the equation in the interval [0, 2).

Mathematics
1 answer:
Margaret [11]1 year ago
6 0

Answer:

  x = 3π/2

Step-by-step explanation:

The given equation can be rewritten as a quadratic in sin(x), then solved by factoring.

<h3>Rewrite</h3>

Using the identity ...

  cos²x = 1 -sin²x

the equation can be rewritten as ...

  sin(x) = -(1 -sin²(x)) -1 . . . . . .substitute for cos²x

<h3>Solution</h3>

The new equation can be solved by considering it a quadratic in sin(x).

  0 = sin²(x) -sin(x) -2 . . . . . . subtract sin(x)

  (sin(x) -2)(sin(x) +1) = 0 . . . . factor quadratic

The solutions to this are ...

  sin(x) -2 = 0   ⇒   sin(x) = 2 . . . .  no solutions

  sin(x) +1 = 0   ⇒   sin(x) = -1   ⇒   x = 3π/2 (one solution)

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The probability is

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2 years ago
Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circl
torisob [31]
Please note that pi has just one value.  The only difference stems from round-off error when you don't use all of the digits following "3.14159 ... " to represent the value of pi.  The formula for circumference is C = 2 pi r, or C = pi d, 
where r=radius and d=diameter.

Circle A:  Diameter 9 inches and Circumference of 28.26 inches

If the diameter is 9 inches, then C = 28.26 inches = pi (9 inches).  Divide 28.26 inches by 9 inches.  Note that you MUST round off the ratio (pi) that you obtain, since 28.26 has 4 significant figures and 9 has just one.

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6 0
3 years ago
Does anybody know how to solve this
kirill [66]

Answer:

Question 11.1

At 7 : 00 pm in Sydney, it will be 10 : 00 pm in Berlin.

Question 11.2

Place | Time

Sydney | 5 : 00 pm

Berlin | 8 : 00 pm

It would be a good time for Mark and Hans to cha,t when it's 5 : 00 pm in Sydney and 8 : 00 pm in Berlin.

hope that helps ...

5 0
2 years ago
Help please !!!!!!!!!!!!!!
DIA [1.3K]

The LCM will be the values that are common to both factors. From the given values the LCM will be 2² * 3² * 5

<h3>Least common multiple</h3>

LCM is the lowest number that can divide all other numbers given in an  expression.

Given the prime factorizations 2² * 3² * 5 and 2*3*5. The LCM will be the values that are common to both factors.

From the given values the LCM will be 2² * 3² * 5

Learn more on LCM here: brainly.com/question/233244

#SPJ1

8 0
2 years ago
Solve ln(6x-1) = -4 for x
Reika [66]

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x

=

−

1

2

Decimal Form:

x

=

−

0.5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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