What is the measure of

Mathematics

1 answer:

LenKa [72]2 years ago

3 0

Answer:

C. Ф = 4 radians

Step-by-step explanation:

Given,

Radius of the Circle (r) = 3cm

Length of the Arc (S) = 12cm

In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.

Therefore, S = r*Ф

12 = 3*Ф

Hence, Ф = 4 radians

You might be interested in

Comparing Standard Deviations

inessss [21]

Explanation:

There may be a couple of reasons for this:

1. Each team represents a sample of the players in the league. The averages of (random) samples can be expected to have a standard deviation that is smaller than the population standard deviation by a factor related to sample size.

2. A team average will result from the players who are played the most. Each team can be expected to field players more often whose averages are among the highest. The standard deviation of a set of the top tier of players will necessarily be smaller than the standard deviation of the set of all players.

8 0

3 years ago

An object is launched directly in the air at a speed of 48 feet per second from a platform located 12 feet above the ground. The

anastassius [24]

9514 1404 393

Answer:

48 ft

Step-by-step explanation:

For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.

t = -48/(2(-16)) = 1.5

Then the maximum height is ...

f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12

f(1.5) = 48

The maximum height the object will reach is 48 feet.