2 minutes 30 seconds - 3 minutes
First you should write what you know since we don't know how many helmets we will use x
helmets - 5(x)
bats - 3(6x)
then write out the equation
5(x)+3(6x)=4600
then solve so first multiple 5 times x and multiply 3 and 6x
5x+18x=4600
then combine like terms which are 5x and 18x
23x=4600
then divide both sides by 23
x=200
200is the number of helmets and since there are six times the bats as helmets you multiply that by six and get
helmets=200
bats=1200
Let us suppose missing term is y
so it becomes - ( x-1) + 5 = 2 ( x+3) - y
let us now try solving it for x ( in terms of y )
-x + 1 + 5 = = 2x + 6 - y
-x + 6 = 2x + 6 -y
6 + y = 2x + 6 +x
y = 3x
y / 3 = x
but x is given to be infinite . let us try placing y= the given options
x= x/3 which is not possible
x= 3x/3 which is giving valid statement
x= 1/3 which is a finite value
x= 5/3 again a finite value
so it is only y= 3x which could be the answer
Answer : option second that is 3x
Answer: (i) 1 (ii) 3/4 , √3/3 (iii) 0 (iv) 1
<u>Step-by-step explanation:</u>
ΔRPQ is 1 30°-60°-90° triangle <em>because RQ = 2PQ</em> , where
(i) sin² (90°) = 1² = 1
(iii) sin (90°) × cos (90°) = 1 × 0 = 0
(iv) sin² (90°) - cos² (90°) = 1² - 0² = 1