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ss7ja [257]
3 years ago
5

What I need to know is how to find x and y values by representing the answers in simplest radical form where necessary

Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

x = 0.6623

y = 8

Image is attached for refernce of my solution

Step-by-step explanation:

In Δ DEF

By applying pythagoras theoram,

DE = \sqrt{EF^{2} - DF^{2}  }

     =\sqrt{17^{2} - 15^{2}  }  = \sqrt{289 - 225}  = \sqrt{64}  =8

∴ DE = 8

In Δ ABC

BC = y = 12 sin 30° = 6

AC = \sqrt{3} + DE + x = \sqrt{3} + 8 + x = 12 cos 30°

⇒ 9.73 + x = 10.39

<h3>⇒ x = 0.6623</h3>

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Nick has tennis practice every sixth day. Mark has tennis practice every 4th day. On July 31st they both had tennis practice. Wh
Montano1993 [528]

Nick has tennis practice every sixth day = 6

Mark has tennis practice every 4th day = 4

They both had tennis practice on = 31st July

We have to find when will be the next time that they both have practice on the same day?

For this, we will find the LCM of 4 and 6

So, LCM of 4 and 6 is 12.

So, it will be 12 days after 31st July, that they will practice on the same day.

So it is 12th August.


3 0
3 years ago
Only find the vertex and axis of symmetry
lara [203]

Answer:

vertex (5,2)

axis of symmetry: x=5

Step-by-step explanation:

vertex (h,k)

y = a(x - h)² + k

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vertex (5 , 2)

The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

x = 5

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2 years ago
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Marysya12 [62]
The answer is (22) hope it helps have a great day
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Find the quotient of '(16t^2-4)/(8t+4)'
Marizza181 [45]

here we have to find the quotient of '(16t^2-4)/(8t+4)'

now we can write 16t^2 - 4 as (4t)^2 - (2)^2

the above expression is equal to (4t + 2)(4t - 2)

there is another expression (8t + 4)

the expression can also be written as 2(4t + 2)

now we have to divide both the expressions

by dividing both the expressions we would get (4t + 2)(4t - 2)/2(4t + 2)

therefore the quotient is (4t - 2)/2

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