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3 years ago

Whats the value of tan 11π/6?

1 answer:

4 0

The exact solution of tan 11π/6 is as follows:

First change the angle into degrees.

11(π/6) (180°/π) = 330°

Then we calculate the tangent of the angle above and it as follows:

tan 330° = (√3)/2

Hope this answers the question. Have a nice day.

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Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

3 years ago

( Multiple choice) In the game of miniature golf, the ball bounces off the wall at the same angle it hit the wall. (This is the

Goshia [24]

The answer is A because if you do the 40 dagree and a coodinate plane it forms a triangle.

6 0

3 years ago

Read 2 more answers

Calculate the angle of depression, x, if the boat is 850 ft. away from the lighthouse and the lighthouse is 250 ft. high. Round

trapecia [35]

Firstly , we can draw diagram

we can see that

adjacent = 850

opposite =250

so, we can use tan formula

$tan(x)=\frac{250}{850}$

$x=tan^{-1}(\frac{250}{850})$

16.38

$x=16.38$

so,

angle of depression is 16.38 degree........Answer

6 0

3 years ago

If 20 articles cost ? 90, then the cost of 9 articles is ? ? 45 ? 4.50 ? 40.50 ? 42

lapo4ka [179]

Answer:

40.50 is correct answer according to me

5 0

2 years ago

As more and more people get their news online, the subscriptions to the Dorchester Daily has declined over the past years.

atroni [7]

Answer:

Step-by-step explanation:

The function s(x)=0.9(.82)^x models the number of subscription in tens of thousands where x represents the number of years since the trend has been observed.

s(x) represents the number of subscriptions to the Dorchester Daily in a given year.

0.9 in ten thousands represents the initial number of subscriptions to the Dorchester Daily in a given year.

0.82 represents the rate at which the number of number of subscriptions to the Dorchester Daily is declining. The rate in percentage is 100 - 82 = 12% each year.

x represents the number of years since the trend has been observed.

3 0

3 years ago