convert 0.275275275275 into fraction
c) 15 m and 750 cmwrite the ratio of the following quantities in the simplest form
Reduce 51/119 to its lowest form
2 3 20 A pan containing of a pie is on the table. If Hakim eats of the pie, how much of the pie has he eaten? 5
prove that angle bisector of a triangle are concurrent.
((2.3)^3 - (0.3)^3) /((2.3)^2 + 0.69 + (0.3)^2
verify the conditions for consistency of a system of linear equations in two variables by graphical representation. 3:24 pm Consider the three pairs o…f linear equations 1stpair: 2x-5y+4=0, 2x+y-8 = 0 2nd pair: 4x + 6y = 24, 2x + 3y =6 3rd pair: x-2y=5, 3x-6y=15 3:24 pm Obtain a table of at least three such pairs (x, y) which satisfy the given equations. observation table. al bi ci Also, check ;₂¹ b₂ ¹ 0₂ 3:24 pm Plot the points of two equations on the graph paper 24 pm Observe whether the lines are intersecting, parallel or coincident. Write the values in 3:25 pm verify the conditions for consistency of a system of linear equations in two variables by graphical representation . 3:24 pm Consider the three pairs of linear equations 1stpair : 2x - 5y + 4 = 0 , 2x + y - 8 = 0 2nd pair : 4x + 6y = 24 , 2x + 3y = 6 3rd pair : x - 2y = 5 , 3x - 6y = 15 3:24 pm Obtain a table of at least three such pairs ( x , y ) which satisfy the given equations . observation table . al bi ci Also , check ; ₂¹ b₂ ¹ 0₂ 3:24 pm Plot the points of two equations on the graph paper 24 pm Observe whether the lines are intersecting , parallel or coincident . Write the values in 3:25 pm
15 multiply (-25) multiply (-4) multiply (-10)Which property is that
x²-4ax-4a+x/(x+1)(4a²-ax)
Answers & Comments
External radius of the hollow cylinder, R = 8 cm
∴ Internal radius of the hollow cylinder, r = (8 – x) cm
Height of the cylinder, h = 10 cm
It is given that the total surface area of the hollow cylinder is 338Π cm2.
∴ 2ΠRh + 2Πrh + 2Π (R2 – r2) = 338 Π
⇒ 2Π (R + r) h + (R – r) (R + r) = 338Π
⇒ (R + r) (R – r + h) = 169
⇒ {8 + (8 – x)} {8 – (8 – x) + 10} = 169
⇒ {16 – x) (10 + x) = 169
⇒ 160 + 6x – x2 = 169
⇒ x2 – 6x + 9 = 0
⇒ (x – 3)2 = 0
⇒ x = 3
Thus, the thickness of the cylinder is 3 cm.
9. Given radius of the cylindrical vessel 70 cm
height of the cylindrical vessel 140cm
rate of tin plating Rs3.50 per 1000 square centimetre
Requirement: Cost of tin-plating it on both the inner and outer surface
Total surface area of a vessel = area of inner and outer side of the base + area of inner and outer curved surface
=> 2(πr2 + 2πrh)
=>2πr(r+ 2h)
=> 2*22*70/7(70 +2*140) [since r = 70cm,h = 140cm]
=> 154000cm2
=>cost of painting at the rate of Rs3.50 per 1000 square centimetre = 154000 * 3.50/1000
=> Rs 539
Therefore cost of painting the cylindrical vessel is Rs539.