Your drawing was much more helpful and informative than your statements in words and symbols.
I see that you want to evaluate (3/2)^2 times (8/15)^2.
You could combine these two expressions into one, as follows:
3*8
( ----------- )^2
2*15
This, in turn, can be simplified by reduction:
( 4/5 )^2. Expanded, this result gives us 16/25.
Next problem
----------------------------
( 9/4 )^4 * ( 4/3 )^3
9^4 4^3
First, focus on ( ------- ) * ( ----------- )
4^4 3^3
Now reduce 4^3 / 4^4: The end result is 1/4.
Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:
3^8 / 3^3. The end result is 3^5.
Putting this expression back together, we get 3^5 / 4 (answer)
I think first option is that right answer
Answer:
£121
Step-by-step explanation:
5/12 of the total coins = 5/12 x 96 = 40 ⇒ 40 coins are £2 coins
26 of the coins are £1 coins
Number of 50p coins = 96 - 40 - 26 = 30 ⇒ 30 of the coins are 50p coins
Total money collected = 40 x £2 + 26 x £1 + 30 x £0.50 = £121
(rememberinf to convert 50p into £s)
Answer: C. 2 11/25
Step-by-step explanation:
we know that
:
10*pi/3------> convert to degrees------> 10*180/3=600 degrees
600=360+240
240 degrees belong to the III quadrant so
the x-coordinate is negative
the y-coordinate is negative
240°=180°+60°
60 degrees is the angle to find the terminal point
let ∅=60°
in the unit circle
r=1 units
x=-r*cos ∅----> x=-cos 60------> x=-(1/2)
y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2
the point is ( -1/2 , -√3/2)
