Answer:
Step-by-step explanation:
We can break the problem into three parts,
tan45 = sin(45)/cos(45)=
Then, 
Therefore, the solution is sqrt(3)/3
Answer:
Step-by-step explanation:
98°,100°
The constant of proportionality of the given graph is gotten as 4.
<h3>How to find the constant of proportionality?</h3>
The constant of proportionality here is simply the slope of the graph.
Now, we will take two points and use their coordinates to find the slope from the formula;
m = (y2 - y1)/(x2 - x1)
Let us pick 2 points which are;
(1, 4) and (2, 8). Thus;
m = (8 - 4)/(2 - 1)
m = 4/1
m = 4
Thus, the constant of proportionality of the graph is gotten as 4.
Read more about constant of proportionality at; brainly.com/question/1835116
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The answer to this is 2092
Answer:
(1) The ratio of number of $5-bill to number of $10-bill is: 1/4;
(2) The ratio of number of the $5-bill to number of $10-bill is: x/ [(72-x)/2] in which x is the number of $5-bill and x must be either 0 or an even positive integral ( as their is insufficient information given, there can be many ratios that suit into the given information as long as the condition on x is met).
Step-by-step explanation:
(1) Denote x is the number of $5 bill and y is the number of $10 bill, in which x and y should be >= 0 and is an integral number.
We have (x+y) / (5x + 10y) = 1/9 <=> 9x + 9y = 5x + 10y <=> 4x = y <=> x/y =1/4 .
(2) Denote x is the number of $5 bill, y is the number of $10 bill.
We have: 5x + 10y = 360 <=> x = [ 360 - 10y ] /5 <=> x = 72 - 2y <=> y = (72 - x)/2 => x/y = x/[(72-x)/2] in which x must be must be either 0 or an even positive integral so that y can be identified in order to match with the given information .
