Answer:
B. 33.6 cm
Step-by-step explanation:
To find determine the length of an arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm, we will follow the steps below;
First write down the formula for calculating length of an arc
If the angle is measured in degree, then the formula for calculating the length of an arc is :
length of an arc = Ф/360 × 2πr
but if the angle is measured in radians, then the formula for calculating length of an arc will be:
length of an arc = r Ф
where r is the radius and Ф is the central angle in radians
In the case of the question given to us, the angle is given in radians, so we will use the second formula
angle Ф = 2.8
radius = 12 cm
length of an arc = r Ф
=12 × 2.8
=33.6
Length of the arc = 33.6 cm
36 does not belong because it is not a factor of 64
Hope this helps!
Answer:
(
−
5
)
(
−
4
)
Step-by-step explanation:
Not 100 percent sure
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
