ΔJKL, sin(JLK)=JK/KL=3/6=0.5
<JKL=30deg.
cos(JLK)=JL/KL
JL=KL*cos(JLK)=6cos(30deg.)
<JLK + <JLM = <MLK
30 + <JLM = 61
<JLM=31deg
in ΔMJL
tan(JLM)=JM/JL
JM=JL*tan(JLM)
=6cos(30deg.)*tan(31deg)
=3.12
Bar diagrams can<span> be used to represent single-step problems</span>
Let the number of thirds be x.
(2/5) = x(1/3)
2/5 = x/3
x/3 = 2/5
x = 2/5 * 3
x = 6/5
x = 1.2
Two-fifths equals 1.2 thirds
Answer:
Total cost = <em>$</em> 4.55
Step-by-step explanation:
2(8a + 5b) -(2a + 3b)
<em>Part A: Simplify the expression shown above</em>
Exapanding the brackets;
16a + 10b - 2a - 3b
Collecting like terms;
16a - 2a + 10b - 3b
14a + 7b
<em>Part B: If a represents apples that cost $0.25 each and b represents bananas that cost SO. 15 each, what is the total cost based on the expression above?</em>
a = 0.25
b = 0.15
14a + 7b
Inserting the values into the equation;
14 (0.25) + 7(0.15)
Total cost = <em>$</em> 4.55