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Maksim231197 [3]
3 years ago
10

Solve the following equation for 0°≤x≤360° : 2 cot 2x + 3 = 0

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

π

2

,

3

⋅

π

2

,

3

⋅

π

4

,

7

⋅

π

4

Explanation:

Factorizing your equation we get

cot

(

x

)

=

0

so

cos

(

x

)

=

0

we get the following Solutions in the given interval

x

=

π

72

or

x

=

3

π

2

for the second case we get

cot

(

x

)

=

−

1

so

cos

(

x

)

=

−

sin

(

x

)

and we get

x

=

3

π

4

or

x

=

7

π

4

Hint:

To get the Solutions of the last equation you can use

√

sin

(

x

+

π

4

)

=

0

Step-by-step explanation:

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Answer:

x = - 10

Step-by-step explanation:

Given

10 - x = - 2x ( add 2x to both sides )

10 + x = 0 ( subtract 10 from both sides )

x = - 10

4 0
3 years ago
What is the sum of 15 and the opposite of 13?
NemiM [27]

Answer:

2

Step-by-step explanation:

15+-13 = 2

4 0
4 years ago
One point on the trend line is 200,6 using this point and the y-intercept find the slope of the trend line.
Marina CMI [18]

Step-by-step explanation:

Use the formula (Y2 - Y1)/(X2 - X1) to find the slope between two points

We'll make Point 1 (which is X1 and Y1) the Y-intercept so

X1, Y1 = (0, 5.00)

And we'll make Point 2 (which is X2 and Y2) the point on the trend line

X2, Y2 = (200, 6.00)

Plug into the formula:

(6.00 - 5.00)/(200 - 0)

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6 0
3 years ago
Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please
Mekhanik [1.2K]

Answer:

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Area = 30

Step-by-step explanation:

(x+8)^2 -x^2 = 12^2

x^2 +16x +64 - x^2 = 144

16x+64=144

16x = 80

x = 5

Double check:

\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13

Perimeter:

12+5+13=30

Area(\frac{1}{2}bh):

\frac{1}{2} × 12 × 5 = 30

5 0
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Asked and answered elsewhere.
brainly.com/question/1410592

_____
Google doesn't recognize the terms "defects method" except in association with various postings of this same problem.
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4 years ago
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