Answer:
How big is the book?
If it has more than 96 pages remaining 25% each night is quicker if it has less that 96 or less remaining 24 pages a night is faster
Step-by-step explanation:
Answer:X= 41
Step-by-step explanation:
Answer:
(√2 − √6) / 4
Step-by-step explanation:
Rewrite using special angles.
sin(-11π/12)
sin((4−15)π/12)
sin(4π/12 − 15π/12)
sin(π/3 − 5π/4)
Use angle difference formula:
sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
Evaluate:
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 + √2/4
(√2 − √6) / 4
Answer:
-8 = d
Step-by-step explanation:
-10 = -2+d
Add 2 to each side
-10 +2 = -2+2 +d
-8 = d
Answer:
Step-by-step explanation:
Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.
2p - 3q = 4 ...................... 1 * 3
3p + 2q = 9 ..................... 2 * 2
Multiplying equation 1 by 3 and 3 by 2:
6p - 9q = 12
6p + 4q = 18
Subtracting both equation
-9q-4q = 12-18
-13q = -6
q = -6/-13
q = 6/13
Substituting q = 6/13 into equation 2
2p - 3(6/13) = 4
2p - 18/13 = 4
2p = 4+18/13
2p = (52+18)/13
2p = 70/13
p = 70/26
p = 35/13
<em>Hence p = 35/13 and q = 6/13</em>
<em></em>
<em>b) </em>If if 223ₓ = 87 find x
Using the number base system and converting 223ₓ to base 2 will give us;
223ₓ = 2*x² + 2*x¹ + 3*x⁰
223ₓ = 2x²+2x+3
Substituting back into the equation, 2x²+2x+3 = 87
2x²+2x+3-87 = 0
2x²+2x-84 = 0
x²+x-42 = 0
On factorizing:
(x²+6x)-(7x-42) = 0
x(x+6)-7(x+6) = 0
(x+6)(x-7) = 0
x+6 = 0 and x-7 = 0
x = -6 and 7
<em>Hence the value of x is 7 (neglecting the negative value)</em>