Part (i)
Plug in theta = pi/3 to get
h(theta) = sin(3theta)
h(pi/3) = sin(3*pi/3)
h(pi/3) = sin(pi)
h(pi/3) = 0 ... use a calculator or the unit circle
<h3>Answer: 0</h3>
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Part (ii)
Plug in h = pi/2
h(theta) = sin(3theta)
h(pi/2) = sin(3pi/2)
h(pi/2) = -1
<h3>Answer: -1</h3>
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does this nicely.
First, let's start off with the information we already have. Since the ratio is 4 boys to 5 girls, there has to be a minimum of 9 students (4 being boys and 5 being girls).
9 will be the denominator of both of our fractions since the boys and girls are in the same class.
The fraction of boys in the class is 4/9 (since there are 4 boys to 5 girls in a class of 9, we would write 4 over 9) and the fraction of girls in the class is 5/9.
This is a simplified version of the fractions. If this is a multiple-answer question and 4/9 and 5/9 are not up there, try multiplying the fractions with different numbers and see what fractions will be correct.
But either way, 4/9 and 5/9 are correct :)
Answer: Distribute:
=2b+(
1
2
a)(b)+(
1
2
a)(
−2
3
)+−4ab
=2b+
1
2
ab+
−1
3
a+−4ab
Combine Like Terms:
=2b+
1
2
ab+
−1
3
a+−4ab
=(
1
2
ab+−4ab)+(
−1
3
a)+(2b)
=
−7
2
ab+
−1
3
a+2b
Answer:
=
−7
2
ab+
−1
3
a+2b
Step-by-step explanation: done
