A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.
The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.
Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.
Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.
Answer:
Step-by-step explanation:
Given: 10 less than 
is 35.
To find: The equation of the given situation.
Solution: We need to write an equation for 10 less than is 35.
Here, we will break down the sentence to form the equation.
10 less than means 
.
Then, it says 10 less than is 35 which means it is equal to 35.
So, the sentence 10 less than is 35 can be written as 10 less than is equal to 35.
Now, 10 less than is equal to 35 can be shown as .
Therefore, the required equation is .
Answer:
<h2>1529.4 m³</h2>
Step-by-step explanation:
Volume of a pyramid can be found by using the formula
a is the area of the base
h is the height
Since the base is a square we have
We have the final answer as
<h3>1529.4 m³</h3>
Hope this helps you
Answer:
B: Yes, the participants are grouped by sun exposure, and then both treatments are randomly assigned within each group.
Step-by-step explanation:
Randomized block design is one in which the experimental units are categorized into groups which we call blocks. Thereafter, treatments will be randomly allocated to the experimental units inside each of the blocks.
Now, from the question, we can see that they were grouped in Blocks according to their outdoor activity which is degree of exposure to the sun. Thereafter the individual groups are randomly assigned treatments.
Thus, Option B is correct.
Answer:
60°
Step-by-step explanation:
2x and x are linear pair,
=> 2x + x = 180
=> 3x = 180
=> x = 180/3
=> x = 60°
=>2x =120°
