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IgorLugansk [536]
3 years ago
13

Select the correct answer.

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x\sqrt{3}. And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x\sqrt{3}.

x = 3

3 *  \sqrt{3} = 3 \sqrt{3}

y =  3\sqrt{3} (option D)

Hope this helps!! :)

Tpy6a [65]3 years ago
3 0

Answer:

your answer is D.

Step-by-step explanation:

Using sine will give you 3*square root of 3

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Step-by-step explanation:

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umka2103 [35]

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Step-by-step explanation:

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Shelby spends 2/7 of her salary on her monthly rent and has $3455 left over. How much does she spend on her rent each month?
Zepler [3.9K]

Answer:

$1382

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5 0
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mel-nik [20]
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Good luck! I hope I helped!
6 0
3 years ago
Find the quadratic function that has a vertex at (3,4) and goes through the point (0,13).​
vladimir2022 [97]

Answer:

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Explanation:

A quadratic function can be written in vertex form as:

f

(

x

)

=

a

(

x

−

h

)

2

+

k

where

(

h

,

k

)

is the vertex and

a

is a constant multiplier.

In our example the vertex

(

h

,

k

)

is

(

3

,

4

)

, so we can write:

f

(

x

)

=

a

(

x

−

3

)

2

+

4

Given that this passes through the point

(

1

,

2

)

, we must have:

2

=

a

(

1

−

3

)

2

+

4

=

4

a

+

4

Subtract

4

from both ends to get:

−

2

=

4

a

Divide both sides by

4

and transpose to find:

a

=

−

1

2

So our quadratic function can be written in vertex form as:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

We can multiply this out and simplify as follows:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

f

(

x

)

=

−

1

2

(

x

2

−

6

x

+

9

)

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

9

2

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Step-by-step explanation:

PLZ MARK ME BRAINLYIST

4 0
3 years ago
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