Answer:
5.24 in
Step-by-step explanation:
The arc length is calculated as
arc = circumference × fraction of circle
= 2πr × 
= 2π × 5 × 
=
≈ 5.24 in (2 dec. places )
Is a binary operation on two vectors in three-dimensional space, and is denoted by the symbol. Given two linearly independent vectors a and b, the cross product, a × b, is a vector that is perpendicular to both a and b, and thus normal to the plane containing them.
Answer
According to newton law of cooling

and

now At Ta = 100
T₀ = 10 °C
T₁ = 12° C

10 = C + 100
C = -90
now,



at time equal to t
T(t) = 70



t = 48.88 s
hence, after 48.88 s the temperature of the body will be 70°C
b) time taken to reach 98°C



t = 390 s
hence, after 390 s the temperature of the body will be 98°C
Angle F should be 46 degrees
Answer:
Width of river = 0.25 mile
As length of river is not given , but it is given that campsite is located 1 mile east upstream, So length of river = 1 mile
Speed of mine in river while going upstream = 3 miles per hour
Speed of current as going Upstream = 1 miles per hour
Now Reduced speed of mine = Speed of mine in river while going upstream - Speed of current as going Upstream
= 3 - 1
= 2 miles per hour
1. There are two ways to reach campsite
(a) either walk 1 mile from starting point in east direction and then swim 0.25 mile in North direction to reach campsite.
Or
(b) From the starting point Considering a right triangle having, base=1 mile and altitude = 0.25 mile, then finding the length of hypotenuse using formula =
=
=√1.0625
=1.03078(approx)
⇒ you must walk a distance of 1 mile in the east direction and then swim 0.25 mile north direction to reach directly at campsite.[shown in the diagram]