Answer:
the answer is 320
Step-by-step explanation:
144 divided by 0.45 equals 320
and for checking my answer 320 times 0.45 equals 144
so 320 is your answer i hope this helps
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
U technecally wrote the answer
Answer:
Step-by-step explanation:
Gonna take this nice and slow. First, at the end it says together both barrels have 48 pints when equal, which means added together they have 96. This stays even as we pout from one to the other. So A+B = 96. Keep that in mind. Also I hope you're good with your systems of equations.
One step at a time. We start with A and B
First, he doubles what is in B, which means he takes that much out of A.
A turns to A-B and B turns to 2B, hopefully you understand that.
Second A is doubled, which means that much is taken out of B.
A-B turns to 2(A-B) or 2A - 2B and 2B turns to 2B - (A - B) or 3B - A
Third and finally B is doubled again
2A - 2B turns to 2A - 2B - (3B - A) or 3A - 5B and 3B - A turns to 2(3B - A) or 6B - 2A
Now we have our system.
A + B = 96
3A - 5B = 6B - 2A or to make it a little nicer 5A = 11B
Let me know if you need help witht he system solving, but you wind up with
A = 66
B = 30
Again, let me know if you don't understand some part.
