Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A
so
That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so
The perimeter of the hexagon is given by the formula
substitute
Answer:
a.false
b.true
c.false
d.I really can't get about it.
e.false
Step-by-step explanation:
So,here;
a.9.9.3=35 is given
or,243=35 (which is false)
b.7+7+7=3+3+3+3+3+3+3
or,21=21 (which is true)
c.2/3/2=2/3
or,2*2/3=2/3
or,4/3=2/3(which is false)
e.6+6+6=63
or,18=63 (which is false)
In Bayes Theorem, apart from the already starting information, some new information so that you can update or transform the original probabilities so you now have better information.
What is Bayes Theorem?
The Bayes' theorem was named after Thomas Bayes and it is used in probability theory and statistics as one of the fundamental theorems. It estimates the likelihood of an event based on knowledge of circumstances that might be connected to it in the past.
The Formula for Bayes' Theorem
The Bayes' theorem is given as,
P(A|B) = P(A).P(B|A) / P(B)
Here, for two events A and B,
P(A|B) is the probability for likelihood of A when B is true
P(B|A) is probability for likelihood of B when A is true
P(A) is the independent probability of event A
P(B) is the independent probability of event B
Learn more about Bayes' theorem here:
brainly.com/question/17010130
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Answer:
True!
Step-by-step explanation:
If an object travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality. The circumference of a circle is directly proportional to its diameter, with the constant of proportionality equal to π.
Answer:
100-25pi m
Step-by-step explanation:
Let us subtract the circles area from the square
<em>First, let us find the area of the square:</em>
Base x height =
10m x 10m = 100m
<em>Now, the circle:</em>
pi x radius ^2 =
pi x (10/2)^2 =
pi x 5^2=
25 pi
Therefore, the shaded area is 100-25pi m. You can also simplify it further by plugging in the 3.14... value into pi.
<em>I hope this helps! :)</em>
