Answer:
f(x) = -34x + 320
Step-by-step explanation:
In the figure attached, the graph of the data and the options are shown.
We can see from the graph that the best fit line for the data would have a negative slope (as x values increase, y values decrease) and a positive y-intercept (the y value at x = 0). The only option that satisfies these two criteria is f(x) = -34x + 320
Answer:
<h2>
110.41m</h2>
Step-by-step explanation:
To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.
From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°
65+55+∠EBD = 180
∠EBD = 180-120
∠EBD = 60
Also ∠DBC = 90- ∠EBD
∠DBC = 90- 60
∠DBC = 30°
Applying sine rule on ΔBCD;
52/sin∠DBC = DB/sin115
52/sin30 = DB/sin115
DB = 52sin115/sin30
DB = 52sin115/0.5
DB = 104sin115
DB = 114.75 m
Also applying sine rule on ΔBED to get side BE;
BE/sin55 = 114.75/sin65
BEsin65 = 114.75sin55
BE = 114.75sin55/sin65
BE = 93.998/0.906
BE = 103.75m
Finally, applying the trigonometry identity SOH on ΔABE
sinΔEAB = opp/hyp
sin70° = BE/AE
Since AE = x;
sin70° = 103.75/x
x = 103.75/sin70°
x = 110.41m
Hence, the value of x missing is approximately 110.41m
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I’ve attached my work!
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