Answer:
Step-by-step explanation:
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that a regular dodecagon is a 12 sided regular polygon with each side equal.
We know that measure of each angle of n-sided regular polygon can be found using formula:
Upon substituting in above formula, we will get:
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
Answer:
cos(400)
Step-by-step explanation:
Useful things:
Cofunction identity: sin(x)=cos(90-x)
Sine and cosine have period of 360 degrees.
So sin(50)=cos(40) by cofunction identity.
Since cosine has period of 360 degrees then cos(40)=cos(360+40).
That simplifies to cos(400).
Answer:
a and d
Step-by-step explanation:
Answer:
5571.99
Step-by-step explanation:
We need to use the Pythagorean theorem to solve the problem.
The theorem indicates that,
Once this is defined, we proceed to define the volume of a cone,
Substituting,
We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,
then
<em>We select the positiv value.</em>
We have then,
We can now calculate the maximum volume,
Answer:
15cm^2
Step-by-step explanation:
The given polygon is a parallelogram,
Area of a parallelogram = Base * Height
= 5cm * 3cm
= 15cm^2
Hope it helped :)