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navedmalik2004
Secondary SchoolMath 5+3 pts
Q1Find the length of each side of equilateral whose area is 9root 3 CM square
Q2 find the value of 5 rational numbers b/w 3 upon 5 and 4 upon 5
Q3 find the value of 64xcube + 125zcube if 4 upon x + 5z = 19
XZ=5
Q4 find the value of M for which X+3is a factor of polynomial x to the 4 +2x to the power 3+ Mx to the power 2+2x -3
Q5 factorize a cube -27bcube
Answers
50 is the answer
Here are your answers
Q1) Area of equilateral triangle = √3 / 4 × side sq.
9√3 = √3 /4 × a
9 × 4 = √3 / √3 × a
36 = 1 × a
Therefore, length of each side = a = 36 cm.
Q2) Five rationals between 3/5 and 4/5:-
3/5×6/6. 4/5×6/6
18/30. 24/30
19/30, 20/30,21/30,22/30,23/30....
Q3) Given, 4x + 5z = 19 and xz = 5
4x + 5z = 19
Cubing on both sides, we get
(4x + 5z)3 = (19)3
⇒ (4x)3 + (5z)3 + 3 × 4x × 5z (4x + 5z) = 6859
⇒ 64x3 + 125z3 + 60xz (4x + 5z) = 6859
⇒ 64x3 + 125z3 + 60 × 5 × 19 = 6859 ( 4x + 5z = 19 & xz = 5)
⇒ 64x3 + 125z3 + 5700 = 6859
⇒ 64x3 + 125z3 = 6859 – 5700 = 1159
Thus, the value of 64x3 + 125z3 is 1159.
Q4) I don't know this answer
Q5) a^3-27b^3
[a^3 – b^3 = (a – b) (a^2 + ab + b^2 )]-->it is the formula
a^3-27b^3= (a-27b) (a^2+27ab+729b^2)
these are your answers
i hope this helps you