Answer:r = 2.81 centimeters
Step-by-step explanation:
The area of this circle can be found using the formula
A=πr^2
Where r = radius of the circle
π is a constant whose value is 3.14
We are given the area of the circle to be 25 square centimeters. To determine the length of the radius of the circle , we will make r the subject of the formula
r^2 = A/π
Taking square root of both sides of the equation,
r = √A/π
Since A = 25 and π = 3.14,
r= √25/3.14
r = 2.82166323992
Approximating to the nearest tenth of a centimeter,
r = 2.81 centimeters
3.That BC are congruent and that AB and AC are congruent as well
Answer:
The maximum distance traveled is 4.73 meters in 0.23 seconds.
Step-by-step explanation:
We have that the distance traveled with respect to time is given by the function,
.
Now, differentiating this function with respect to time 't', we get,
d'(t)=9.8t-2.3
Equating d'(t) by 0 gives,
9.8t - 2.3 = 0
i.e. 9.8t = 2.3
i.e. t = 0.23 seconds
Substitute this value in d'(t) gives,
d'(t) = 9.8 × 0.23 - 2.3
d'(t) = 2.254 - 2.3
d'(t) = -0.046.
As, d'(t) < 0, we get that the function has the maximum value at t = 0.23 seconds.
Thus, the maximum distance the skateboard can travel is given by,
.
i.e.
.
i.e.
.
i.e.
.
i.e. d(t) = 4.73021
Hence, the maximum distance traveled is 4.73 meters in 0.23 seconds.
Answer:
about 90% of the time?
Step-by-step explanation: