Step 1: Convert , which is in radians into degrees. To convert it multiply by
900/12
75
Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value
cos45 =
cos30 =
Step 3: Add the cos45 and cos30 to get cos5pi/12
Hope this helped!
Answer:
6.5km
Step-by-step explanation:
If you make a diagram, you'll see the submarine forms a right angle triangle with the base, where the hypotenuse is the length from the submarine to its base, and 5.5 and 3.4 are the side lengths. To find the hypotenuse, use the formula a^2+b^2=c^2.
5.5^2+3.4^=c^2
41.81=c^2
6.466=c
Round it to one decimal point and you get 6.5km.
Answer:
Step-by-step explanation:
Write down the equation for calculating the volume of a sphere. This is the equation: V = ⁴⁄₃πr³. ...
Find the radius. If you're given the radius, then you can move on to the next step. ...
Cube the radius. ...
Multiply the cubed radius by 4/3. ...
Multiply the equation by π.
The surface area of a sphere of radius r is A = 4π*r^3.
Since the radius in this case is 7 cm (half the 14 cm diameter), the area of this sphere is
A = 4π(7 cm)^2, or 196π cm^2.