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1 answer:
Answer:
Step-by-step explanation:
The basic 30-60-90 triangle ratio is:
Side opposite to 30° angle is : x
Side opposite to 60° angle is : x √3
Side opposite to 90° angle is : 2x
From the diagram we learn that
x√3 = 10
∠T = 30°, Side opposite to ∠T is AC = 5.77
∠A = 90°, side opposite to ∠A is TC = 2x = 2*5.77 = 11.54
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Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. Anna earns $20 for every 400 envelopes. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
Jason has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
b) From the table of Anna and Jason we can see that Anna makes more stuffing than Jason for the same number of envelopes.
c) Anna has a savings of $100 initially. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:
Therefore from the graph there is a y intercept at 100. That is the earnings starts initially is $100.
The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value of y at x = 0)
For the first graph, the slope is 1/20 with an initial value of 0 while for the second graph the slope is 1/15 with an initial value of 100
D) The trend line pass through the points (10, 10) and (100, 40), hence:
