What equation represents the graph below?

Find the missing sides.

love history [14]

Answer:

Part 3)

$x=6\ units$

$y=3\ units$

Part 4) $x=18\sqrt{2}\ units$

Step-by-step explanation:

Part 3)

step 1

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

$cos(30\°)=\frac{3\sqrt{3}}{x}$

and remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}$

Simplify

$x=(2*3)=6\ units$

step 2

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

so

$sin(30\°)=\frac{y}{x}$

and remember that

$sin(30\°)=\frac{1}{2}$

substitute

$\frac{1}{2}=\frac{y}{6}$

$y=6/2=3\ units$

Part 4) Find the value of x

Applying the Pythagoras Theorem

$x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units$

Simplify

$x=18\sqrt{2}\ units$

6 0

3 years ago

DOES ANYONE UNDERSTAND QUADRATIC APPLICATIONS FOR ALGEBRA 1???? PLS DONT RESOND IF YOU DINT KNOW

lilavasa [31]

Answer:

1 ) Vertex form.

2 ) Standard form.

3 ) I'm not sure about this one, but there are only 3 forms, in which the last one is factored form, and the other two are above, so it must be factored form.

Step-by-step explanation:

1 ) Vertex form : y = a( x - h )² + k

Vertex form shows you where the vertex(the lowest/highest point aka ( h, k ) ) of the parabola is, without graphing it. (But you could graph it and find the vertex like that, I recommend you use desmos graphing)

2 )Standard form : y = ax² + bx + c

Standard form can be used to show the y-intercept( aka c ), in this case, where the snowball was thrown from. (Again, you can graph it and find where he parabola hits the y axis)

3 ) Factored form : ( ax + c )( bx + d )

Factored form tells us the x-intercepts, or in this case where the snowball landed or how long the snowball is in the air. (like i said, you could graph it, and find the points(there could be only one or maybe none in some cases) that are on the x axis)

I know this was four days ago, but I hope this helped you understand a little better.

4 0

2 years ago

Estimate 43% of 117. (2 points) Show your work to

finlep [7]

Answer:

Let's say 50

Step-by-step explanation:

40% of 100 is 40

50% of 117 is about 59

so number should be a somewhere in between.

8 0

2 years ago

URGENT HELPPP !!!!!! Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!

GaryK [48]

Answer:

(8,-3)

Step-by-step explanation:

I just added 1 to the x value and added 2 to the y value because that was the difference between point A and the midpoint of the segment.

Hope this helps!

3 0

2 years ago

1 4/9 divided by -2/9

Varvara68 [4.7K]

Answer:

6 1/2

Step-by-step explanation:

change 1 4/9 into a improper fraction, which is 13/9, and when dividing fractions flip the second number upside down then multiply. 13/9 times -2/9 is -117/18. simplify, which is 13/2, which is also equal to 6 1/2. hope this helped

7 0

2 years ago

What equation represents the graph below?​

What equation represents the graph below?