So basically since they are all negative you would go down and count to see which point is higher since it’s a negative and that would be Point H -3 1/2
Answer:
y-6 = (7/6)(x-2)
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Explanation:
The median DT goes from point D, which is given, to point T which we have to find. The point T is the midpoint of segment EF.
Use the midpoint formula to find the midpoint. Add up the x coordinates of E and F to get
-1+5 = 4
Then divide that by 2
4/2 = 2
The x coordinate of point T is x = 2
Repeat for the y coordinates
8+4 = 12
12/2 = 6
The y coordinate of point T is y = 6
So the point T is (x,y) = (2,6)
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We know point D is (-4,-1)
We just found point T to be (2,6)
Using the slope formula, the slope is..
m = (y2-y1)/(x2-x1)
m = (6-(-1))/(2-(-4))
m = (6+1)/(2+4)
m = 7/6
The slope is m = 7/6
Use either the coordinates of D or T. I'll use point T. So (x1,y1) = (2,6) meaning x1 = 2 and y1 = 6
We'll plug m = 7/6, x1 = 2 and y1 = 6 into the point slope equation
y-y1 = m(x-x1)
y-6 = (7/6)(x-2)
which is the final answer
I have attached the image associated with this question
Answer:tan (60) = √3
Explanation:The given triangle is right-angled triangle, therefore, we will use Pythagorean theorem to get the length of the third side.
third side = sqrt [(hypotenuse)^2 + (second side)^2]
third side = 21√3 units
Since the given triangle is a right-angled triangle, we can apply the special trigonometric identities.
Therefore:
tan θ = opposite / adjacent
In the given triangle:
θ = 60°
The opposite side = 21√3
The adjacent side = 21
Substitute in the above equation to get tan 60 as follows:
tan (60) = (21√3) / (21) = √3
Hope this helps :)
Volume = area of base x height
area of base = 1/2 x base x height x number of central angles
area of base = 1/2 x 7 x 6.1 x 6 = 128.1
volume = 128.1 x 19 = 2433.9 cubic feet