Answer:
number of yellow marbles=62.
Step-by-step explanation:
It is given that in a bag there are yellow marbles and blue marbles and the total number of marbles=73.
Let the number of Blue marbles=x, then according to the question, number of yellow marbles will be =5x+7.
Now, Total number of marbles= number of yellow marbles+number of blue marbles.
⇒73=x+5x+7
⇒73-7=6x
⇒66=6x
⇒x=11
Therefore, numberof blue marbles=x=11 and
number of yellow marbles=5x+7=5(11)+7=55+7=62.
Since the carton can hold 1000 units of the cubes.
Each unit of cube = 1inch * 1inch *1inch = 1inch³
Total volume = 1000 * 1inch³ = 1000 inch³
To get the dimension: The carton would take the shape of a cube.
Let each side be x.
x*x*x = 1000
x³ = 1000 Take the cube root of both sides.
∛x³ = ∛1000
x = 10
The dimension of the carton is 10 inches by 10 inches by 10 inches
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
As the sine rule states,
A/sina = B/sinb = C/sinc .
in the diagram, there are two identified sides and if you use the sine rule, you can find the opposed angles easily.
there are:
side a, with angle â .
side b, with angle b.
so the answer is C.
if you input these into the sine rule, it would be:
a/ sin a = b/sin b
Answer:
A' (-1, 2)
Step-by-step explanation:
(x, y) -> (-y, x)
A' (-1, 2)
B' (1, -2)
C' (2, -2)
D' (0, -2)
