The intersection of three altitudes of a triangle is
called the orthocenter, while altitude is the line drawn from one of the vertex
of a triangle and extends it in such a way that it cuts perpendicularly the opposite
side of the same triangle.
<span> For obtuse
triangle, the orthocenter always lies outside of the triangle. So option “C” is
correct. </span>
<span>An image of obtuse triangle along with orthocenter is
attached herewith.</span>
<span> </span>
"y varies directly as x" means y = kx
you do not know what k is yet, other than that it is some constant number.
Now plug in the given values, y=12 when x=4, in the equation
12 = 4k
=> k = 3
Now rewrite the equation with the k value you just found
y = 3k
Substitute 18 in place of x
y = 3(18)
y = 54
9514 1404 393
Answer:
[211.43,216.57]
Step-by-step explanation:
1.2% of 214 is ...
0.012 × 214 = 2.568 ≈ 2.57 . . . . rounded to hundredths
Then the minimum possible value is ...
214 -2.57 = 211.43
and the maximum possible value is ...
214 +2.57 = 216.57
The range is 211.43 to 216.57.
Answer:
Step-by-step explanation:
you have to keep the x and the y sepret and then you can divied one by nine then you get the answer so there you go
Answer:
Total distance covered: 60x8 = 480
Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.
initial velocity : 60 km/hr.
Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.
Step-by-step explanation: