Answer with explanation:
Number of four digit numbers using four distinct digit
=Unit placed can be filled in four ways * Tens place can be filled in Three ways * Hundreds place can be filled in 2 ways * Thousand Place can be filled in a single way
=4*3*2*1
=24 distinct numbers
Sum of all four , four digits numbers using 1,2,3,4
= (If we keep 4 at unit place +Keeping 3 at unit place +Keeping 2 at unit place+Keeping 1 at unit place)×6+At tens place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At hundred's place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At thousand's Place(2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)
=(24+18+12+6)Unit place+(60)Ten's place +(60)Hundred's place+(60)Thousand's Place
=66660
Answer:
3
Step-by-step explanation:
First of all, the area in a triangle adds up to 180.
Secondly, it's an equilateral triangle, so all 3 angles are the same. Therefore, all 3 angles must equal 180/3 = 60.
Angle B - 25x - 15 = 60
Rearrange to get x on it's own.
25x - 15 = 60
25x = 60 + 15
25x = 75
Divide by the coefficient to find x.
25x = 75
x = 75/25
x = 3
we know that,
the roof the colosseum=
(x-h)^2+(y-k)^2=r^2
where
(h,k) is the center and r is the radius
now,
(h.k)=(0,0)---(orgin)
we know that radius is half the diameter
so,
r=600/2=300
now substitute the value,
(X-0)^2+(y-0)^2=300^2
x^2+y^2=90,000
hope it helps you