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Mashutka [201]
3 years ago
15

If tan x =3/4, and 0

Mathematics
1 answer:
jasenka [17]3 years ago
6 0

Answer: x=0.6435011

Step-by-step explanation:

Take the inverse tangent of both sides of the equation to extract  

x

from inside the tangent.

x

=

arctan

(

3

4

)

Evaluate  

arctan

(

3

4

)

.

x

=

0.6435011

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from  

π

to find the solution in the fourth quadrant.

x

=

(

3.14159265

)

+

0.6435011

Simplify the expression to find the second solution.

Tap for more steps...

x

=

3.78509376

Find the period.

Tap for more steps...

π

The period of the  

tan

(

x

)

function is  

π

so values will repeat every  

π

radians in both directions.

x

=

0.6435011

+

π

n

,

3.78509376

+

π

n

, for any integer  

n

Consolidate the answers.

x

=

0.6435011

+

π

n

, for any integer  

n

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Step-by-step explanation:

Given data

Width of side walk= 5ft

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Cost per square foot= $30

Hence the area of the side walk= 5*250

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

7 0
2 years ago
SYSTEM OF LINNEAR EQUATIONS!
GREYUIT [131]

Answer:

Step-by-step explanation:

2x+3y=15

x-3y=18

------------------

x=3y+18

2(3y+18)+3y=15

6y+36+3y=15

9y=15-36

9y=-21

y=-21/9

simplify

y=-7/3

x-3(-7/3)=18

x+7=18

x=18-7

x=11

Answer: x=11, y=-7/3. (11, -7/3).

---------------------------------------------

2x+3y=20

-2x+y=20

----------------

4y=40

y=40/4

y=10

2x+3(10)=20

2x+30=20

2x=20-30

2x=-10

x=-10/2

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-------------------------------------------

3x-4y=-5

-10x+4y=12

--------------------

-7x=7

x=7/-7

x=-1

3(-1)-4y=-5

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4y=-3-(-5)

4y=-3+5

4y=2

y=2/4

simplify

y=1/2

Answer: x=-1, y=1/2. (-1, 1/2).

6 0
4 years ago
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