Step-by-step explanation:
using
The quadratic general formula
which is
r= -b±√(b²-4ac)
---------------
2a
b= coefficient of r=3
a = coefficient of r²=2
c= constant or number without any variable=-10
r= -3±√(3²-(4×2×-10)
-----------------------
2×2
r=-3±√(9-(-80)
----------------
4
r= -3±√(9+80)
------------
4
36x34= 1224cm²
(36-4)x(34-4)= 32x30= 960cm²
Area of frame= 1224
Area of picture inside frame= 960
So border = 1224-960= 264
ANSWER = 264cm²
Answer: The correct option is B. The point U is the centroid of RST.
Exclamation:
From the given figure it is noticed that the line SU divides the angle S in two equal parts, so the line SU is a part of median line and when the line SU extended until the sideRT is being touched, we get a median line.
The line TU divides the angle T in two equal parts, so the line TU is a part of median line and when the line TU extended until the sideRS is being touched, we get a median line.
The line RU divides the angle R in two equal parts, so the line RU is a part of median line and when the line RU extended until the sideTS is being touched, we get a median line.
The point where the all median of a triangle intersects each other is called centroid.
From the figure we can conclude that all the median of the triangle RST are intersecting on point U, therefore point U is the centroid and option B is correct.
Answer:
360360
Step-by-step explanation:
We have the following information:
Number of ways of choosing 5 car models from 15 different models = 15C5
Number of arranging above 5 models = 5!
Therefore, the total number of displayong 5 models would be:
15C5 * 5!
nCr = n! / (r! * (n-r)!)
we replace:
15! / (5! * (15-5)!) * 5! = 15! / 10! = 360360
So there are a total of 360 360 ways to display the 5 car models.