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:
Approximately 2 months
Step-by-step explanation:
Tricia: f(d) = 5.15m + 10.25
Melanie: f(d) = 10.25m
f(d) is the total savings altogether
m is the amount of months
5.15(2) + 10.25 = 20.55
10.25(2) = 20.50
They will have the same amount of savings in approximately 2 months
1.990291 is the actual time (in months) they will be the same
Some parallelograms are also a rhombus.
So that's why the answer is choice B.
Note: Any rhombus is a parallelogram, but the other way around isn't true. For example, a rectangle that isn't a square is also not a rhombus. Any rectangle is a parallelogram. Not all parallelograms are rectangles.
Answer:
78 minutes or 1 hour and 18 minutes
Step-by-step explanation:
Add 5 and 63 and 10
I think it is 8.6.. but I am not 100% sure
Step-by-step explanation: