Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq = 
= 
cosq = 
= 
Step-by-step explanation:
(3x+5)-(4x²-2)-(x²-3x+1)
= 3x+5-4x²+2-x²+3x-1
=6x+6-5x²
=-5x²+6x+6
Answer:
Step-by-step explanation:
The prime cost = 4 times the value of material used
Former Prime cost = 540
Value of material = 540 / 4 = Rs. 135
Since ;
Prime cost = raw material + wages
540 = 135 + wages
Wages = 540 - 135
Wages = 405
Increase in raw material ; 3 : 4
New cost of raw materials = (4/3) * 135 = 180
Decrease in wage ; 4 : 5
New wage = 4/5 * 405 = 324
New prime cost :
180 + 324
= 504
