Find the distance between the points (6, -2) and (9,4)

Need help with Trigonometry will mark brainest!!

Alexxx [7]

The height of the kite above the ground will be 108.22m.

<h3>How to get the height?</h3>

From the information, the wind makes an angle of 56° to the ground and the kite is about 73m.

Therefore, the height of the kite above the ground will be:

Tan 56° = opposite/adjacent

1.48256 = x/73

x = 73 × 1.48256

x = 108.22m

Learn more about angles on:

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5 0

2 years ago

2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

$(x-h)^{2} +(y-k)^{2} =r^{2}$

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0

3 years ago

Inequalities<br> x+3 <=10

STatiana [176]

Solutions

x+ 3 <= 10

Subtract 3 from each side:

x <= 7

6 0

3 years ago

Read 2 more answers

Karen's fish tank has 13 liters of water in it. She plans to add 4 liters per minute until the tank has at least 57 liters. What

guapka [62]

Answer:

Karen has to at least spend 11 minutes.

Step-by-step explanation:

This is because 57 - 13 = 44. 44 divided by 4 = 11. This means that in 11 minutes Karen will have a 57 liter tank. But she could keep going, but the least number of minutes would be 11 minutes, to get to 57 liters.

I hope this helps! Please mark me Brainliest if it did! Thank you and have a nice day!

4 0

3 years ago

Read 2 more answers

Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 4000/3*π in^3. One day, his sink clogged. He has

Nostrana [21]

That's a huge one. I don't think that anyone will actually answer that.

7 0

3 years ago