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melomori [17]
3 years ago
15

Solve the equation on the interval 0 less than or equals theta less than 2 pi 0≤θ<2π. 2 cosine theta plus 1 equals 0 2cosθ+1=

0
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Answer:

θ = 2π/3 or 5π/3

Step-by-step explanation:

2 cosθ + 1= 0

when  + 1 goes to R H S Side than it becomes negative by transposition   method

2 cos = -1

now by dividing by 2 both sides we get

cosθ  =  -\frac{1}{2}

since cosθ is negative

Cosθ = - cos 60°

it means either cosθ lies in 2nd or third quadrant

θ = π - π/3

or

θ = 2π- π/3

so θ = 2π/3 or 5π/3

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Answer:

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Step-by-step explanation:

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2 years ago
Jane made a poster that had a length: 1 2/3 of feet and a width: 5/6 of feet. What is the perimeter of her poster?
slamgirl [31]

Answer:

P   = 6 2/3 ft

Step-by-step explanation:

The formula for the perimeter of a rectangle of length L and width W is

P = 2(L + W).

Here the perimeter is P = 2(1 2/3 + 5/6) = 2(5/2 + 5/6)

                                                                  = 2(15/6 + 5/6) = 2(20/6)

                                                                  = 40/6 = 20/3

                                                              P   = 6 2/3 ft

5 0
2 years ago
At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $11
Law Incorporation [45]

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

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c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

8 0
3 years ago
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The answer for question number 1 is : 2x + 4
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If a = 5^x, b = 5^y and a^y×b^x = 25 then prove that: xy =1​
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3 0
3 years ago
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