Answer:
B) 68.91 inches
Step-by-step explanation:
To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.
We are also given that the diameter is 28 inches.
Since arc length and area are proportional to the central angle, we can create the following equality:
angle of VYX/360 = arc length of VYX/circumference
We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.
282/360 * 28*pi = arc length of VYX
Thus, the length of VYX = 68.90559887 inches
Thus, the correct answer is B, 68.91 in.
To find the answer we can break the figure into two parts: a rectangle and a semi circle.
The perimeter of the rectangle:
(10+4)×2
=28 ft
The perimeter of the semi circle:
perimeter of a circle: 2×兀×radius
(The radius: 4/2)
We divide the perimeter by two as it is a semi circle,which is half the circumferece perimeter of a circle.
[2(3.14)(4/2)] / 2
=6.28 ft
We can then add up the numbers to find the answer, and remember that 4 cm is overlapped:
28+6.28-4
=30.28ft
Therefore the answer is 30.28ft.
Hope it helps!
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:
The true statements are A and D
Step-by-step explanation:
4 (3(3) + 4) is 52, while 16(3) + 12 is 60
that would not be equivalent in w = 3 but it would in w = 1
If you're using a few larger intervals, then your histogram looks more stocky. If you imagine drawing one, it's because you're adding more values into the same category which can make the difference between two intervals much more noticeable. If you're using smaller intervals, however, you can much more accurately assess the difference between two different intervals. For that reason, the transition between one and another interval would look much more 'fluid'.
