Answer:
3052 cm^3 (Answer C)
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2(pi)(r). We know that C = 56.52 cm and want to find the model's radius:
C 56.52 cm
Solving for r, we get ---------- so that in this case r = ------------------ or
2(pi) 6.28
r = 9 cm.
The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r^3), which here comes out to:
V = (4/3)(3.14)(9 cm)^3 = 3052 cm^3 (Answer C)
Answer:
52.85897435
Step-by-step explanation:
The ship movement is an illustration of distance and bearing
The ship is 31.97 miles from its point of departure
<h3>The distance from the point of departure?</h3>
The given parameters are:
- Distance east = 40 milies
- Distance southwards = 70 miles
- Angle = 12 degrees
See attachment for the image of the above parameters
The distance (x) from the point of departure is then calculated using the following cosine function
a^2 = b^2 + c^2 - 2bc * cos(Ф)
So, we have:
x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)
Evaluate the exponent and the product
x^2 = 6500 - 5477.63
Evaluate the difference
x^2 = 1022.37
Evaluate the exponent
x = 31.97
Hence, the ship is 31.97 miles from its point of departure
Read more about distance and bearing at:
brainly.com/question/24142612