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3 years ago

Value of x to 3sf area is root 4/2^2 and sides are (x+2) and (2x-3) and angle is 45°

Mathematics

1 answer:

Debora [2.8K]3 years ago

6 0

Answer:

U have done iT correct

Step-by-step explanation:

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Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.

Dmitry [639]

Note that
$\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}$

Note that
$x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }$

Use the identity
$tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

Therefore
$tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} = \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )} = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}$

Answer: 2 + √3

8 0

3 years ago

A salesperson is paid an 8.25% commission on sales when the invoice is

son4ous [18]

Answer:

<em>The salesperson's commission for this month is $3,803</em>

Step-by-step explanation:

<u>Percentages</u>

Let's call x to the sales volume, not including commission.

The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x

We are given this total invoice, thus:

1.0825x = $49,900

Dividing by 1.0825:

x = $46,097

The salesperson's commission is

0.0825*$46,097=$3,803

The salesperson's commission for this month is $3,803

7 0

2 years ago

Find the missing base. 64=?2

LekaFEV [45]

9514 1404 393

Answer:

Step-by-step explanation:

Your familiarity with multiplication tables tells you ...

64 = 8·8 = 8²

The missing base is 8.

5 0

3 years ago

solve the system of equations below by graphing both equations with a pencil and paper what is the solution y=2x-4 y=-x+5

miss Akunina [59]

Answer:

The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 )

Step-by-step explanation:

Given as :

The two algebraic equation is

y = 2 x - 4 .......A and y = - x + 5 ........B

The given two algebraic equation can be solved by putting the one variable to the other equation

Now , put the value of y from Eq A into the Eq B

I.e 2 x - 4 = - x + 5

or, 2 x + x = 5 + 4

or, 3 x = 9

∴ x = $\frac{9}{3}$

I.e x = 3

So The value of x = 3

Again, put the value of x in the equation A

I.e y = 2 x - 4

or, y = 2 × 3 - 4

∴ y = 6 - 4

I.e y = 2

So The value of y = 2

So , The coordinate of points on the graph as ( x , y ) = ( 3 , 2 )

Hence The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 ) Answer

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME, MY MOM WILL KILL ME IF I DONT HAVE THEESE ASSIGNMENTS DONE

Schach [20]

Answer:

A. 2

B. 10/3

C. 8/3

D. 2/3

Step-by-step explanation: put the whole #and make it into a fraction like this e.g.

6/1 • 1/3 = 6/3 simplifies to 2

3 0

3 years ago