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user100 [1]
3 years ago
9

What is the value of x? Please show step by step.

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0
Start by using trig to find the length of the line LJ

The triangle KJL (big right angled triangle) has been given the following dimensions

Hypotenuse = 8 \sqrt{2}
The adjacent angle is 30 degrees

Since we have the hypotenuse and the  angle we must use the equation 
opposite = Sin(angle) x Hypotenuse

Opposite= sin30 x 8 \sqrt{2}

Opposite= 4 \sqrt{2}

Therefore line LJ is 4 \sqrt{2}


Now look at the smaller right angled triangle (LMJ) 

Hypotenuse is the line LJ which is 4 \sqrt{2}

The adjacent angle is 45

Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h

therefore 
x= 4 \sqrt{2} * sin45= 4


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Pie

Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

2

3

2

3

gives the next term. In other words,

a

n

=

a

1

⋅

r

n

−

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a

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a

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⋅

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.

Geometric Sequence:

r

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2

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r

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This is the form of a geometric sequence.

a

n

=

a

1

r

n

−

1

a

n

=

a

1

r

n

-

1

Substitute in the values of

a

1

=

1

2

a

1

=

1

2

and

r

=

2

3

r

=

2

3

.

a

n

=

(

1

2

)

⋅

(

2

3

)

n

−

1

a

n

=

(

1

2

)

⋅

(

2

3

)

n

-

1

Apply the product rule to

2

3

2

3

.

a

n

=

1

2

⋅

2

n

−

1

3

n

−

1

a

n

=

1

2

⋅

2

n

-

1

3

n

-

1

Multiply

1

2

1

2

and

2

n

−

1

3

n

−

1

2

n

-

1

3

n

-

1

.

a

n

=

2

n

−

1

2

⋅

3

n

−

1

a

n

=

2

n

-

1

2

⋅

3

n

-

1

Cancel the common factor of

2

n

−

1

2

n

-

1

and

2

2

.

Tap for more steps...

a

n

=

2

n

−

2

3

n

−

1

a

n

=

2

n

-

2

3

n

-

1

Substitute in the value of

n

n

to find the

n

n

th term.

a

5

=

2

(

5

)

−

2

3

(

5

)

−

1

a

5

=

2

(

5

)

-

2

3

(

5

)

-

1

Simplify the numerator.

Tap for more steps...

a

5

=

8

3

(

5

)

−

1

a

5

=

8

3

(

5

)

-

1

Simplify the denominator.

Tap for more steps...

a

5

=

8

81

a

5

=

8

81

Step-by-step explanation:

3 0
3 years ago
Help ? showing how you got the answer would be absolutely awesome. thank you !
Sergeeva-Olga [200]

Answer:

62: 300l/hr

63: .018mi/s

64: .46qt/s

65: 298.2mi/hr

Step-by-step explanation:

62: 5x60=300

63: 68/60=1.13/60=.018

64:7gal=28qt 28/60=.467

65: 8km=4.97mi 4.97x60=298.2

5 0
3 years ago
23,210 ÷ 32 = SHOW LONG DIVISONN
Elenna [48]

Answer:

That should equal 725.3125.

8 0
2 years ago
-3+5+6g=11-3g help asap please
Ksju [112]
-3+5+6g=11-3g
+3g. +3g
(-3+5)+9g=11
2+9g=11
-2. -2
9g=9
THE ANSWER IS G=1
4 0
3 years ago
Helppp pleasee it’s needed quick points
Dominik [7]

hope this helps :)

.............

6 0
2 years ago
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