Answer:
47 degrees
Step-by-step explanation:
Add all the numbers we know
the line is 180
43+52+38=133
133+47=180
47 Your answer. Hope this helped leave a heart or like or comment. :)
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
Answer:
Because x-2y=6 is the same in both of them. 4x+8y=12 can be simplified to x-2y=6 if divided by 4
If you were to have (3,2) and find the reflection of the y axis, it would turn y into a negative, making it (3,-2).
<span>y= -x^2 + bc + c represents a vertical parabola that opens down. As x approaches either + or - infinity, the function approaches - infinity. Imagine an upside down parabola; doing so will confirm this answer.
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