Given that sin (5x - 28)o = cos (3x - 50)o,0 < x < 90o, find the value of x
14o
21o
32o
39o
Correct answer is B
Sin (5x – 28)o = cos (3x - 50)o
Since by the trigonometry relation
Sin(5x – 28)o = cos[90 – (5x – 28)]o
Hence cos(3x – 50)o = cos[90 – (5x – 28)]o
3x – 50 = 90 - (5x-28)
3x – 50 = 90 – 5x + 28
3x + 5x = 90 + 28 + 50
8x = 168
\(x = \frac{168}{8}=21^{\circ}\)
If \(y = 23_{five} + 101_{three}\), find y, leaving your answer in base two
1110
10111
11101
111100
Correct answer is B
\(23_{five} = X_{ten}; X_{ten} = 2\times 5^1 + 3\times 5^0 = 10 + 3 = 13\\
101_{three}=P_{ten}; P_{ten} = 1\times 3^2 + 0\times 3^1 + 1\times 3^0=9+0+1=10_{ten}\\
Y = 13+10=23_{ten}\);
Converting to base two
\(\begin{matrix}
2 & 23\\
2 & 11 &R1\\
2 & 5 & R1\\
2 & 2 & R1\\
2 & 1 & R0\\
& 0& R1 \uparrow\\
\end{matrix} \\
=y=10111_2\)
Which of the following statements about water in humans is not correct? it
plays an important role in temperature regulation
acts as solvent for substances conveyed around the body
plays a role in the formation of vitamin
is needed for many life processes
Correct answer is C
No explanation has been provided for this answer.
The function of the amniotic fluid in humans is to
protect the foetus against shocks
remove waste products from the foetus
supply food and water to foetus
carry oxygen to the foetus
Correct answer is A
No explanation has been provided for this answer.
Placentation of plants is best described as the
arrangement of ovules in the ovary
arrangement of fruits on the branches
development of ovules in the ovary
formation of the pericarp from the ovary wall
Correct answer is A
No explanation has been provided for this answer.