Let be:Speed of the wind: WSpeed of the plane in still air: P
Against the wind the plane flew:Distance: d=175 milesTime: ta=1 hour 10 minutesta=1 hour (10 minutes)*(1 hour/60 minutes)ta=1 hour + 1/6 hourta=(6+1)/6 hourta=7/6 hourSpeed against the wind: Sa=d/taSa=(175 miles) / (7/6 hour)Sa=175*(6/7) miles/hourSa=1,050/7 miles per hourSa=150 mph
(1) P-W=Sa(1) P-W=150
The return trip only took 50 minutesDistance: d=175 milesTime: tr=50 minutestr=(50 minutes)*(1 hour/60 minutes)tr=5/6 hour
Speed retur trip: Sr=d/trSr=(175 miles) / (5/6 hour)Sr=175*(6/5) miles/hourSr=1,050/5 miles per hourSr=210 mph
(2) P+W=Sr(2) P+W=210
We have a system of 2 equations and 2 unknows:(1) P-W=150(2) P+W=210
Adding the equations:P-W+P+W=150+2102P=360Solving for P:2P/2=360/2P=180
Replacing P by 180 in equation (2):(2) P+W=210180+W=210
Solving for W:180+W-180=210-180W=30
Answers:The speed of the plane in still air was 180 mphThe speed of the wind was 30 mph
Answer:
Step-by-step explanation:
True statements
All equallateral triangles are similar. Their sides are all in the same ratio when comparred.
All squares are similar. Same reason as equilateral triangles. All sides to both squares compared are the same.
False Statements
Isosceles triangles can and usually do have different base angles.
rectangles can have all sorts or side lengths. The only requirement is consecutive sides form right angles.
2 rhombuses can have side lengths that are in the same ratio, but the heights are not in the same ratio. That eleminates.
Answer
These are the only true ones: Statements 2 and 5 are true. The rest are not.
Convert the mixed numbers to improper fractions, then find the LCD and combine.Exact Form:<span><span>72</span><span>72</span></span>Decimal Form:<span>3.53.5</span>Mixed Number Form:<span>3<span><span>12,SO with this I subtracted this form 2 cups as what's noted in the Screen.And this got me 1 1/2 So you answer is B
Hope this helps.
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I have attached an image of the process I used
Answer:
-5
Step-by-step explanation:
