Ok so area=162
since the triangles sides were cut out of a square, base=height
area=1/2bh=162
b=h
area=1/2b^2=162
times 2 both sides
b^2=324
sqrt both sides
b=18=h
the legnth of one side is 18cm
see diagram
another way, is total aera of square=areas of both triangles=162+162=324
remember area of square=side^2 so
324=side^2
sqrt both sides
18=side
answer is 18cm
Answer:
The circumference would be about 141.3 inches
Step-by-step explanation:
Place your radius into the formula for circumference (C=2πr)
<em>C = 2 × 3.14 × 22.5</em>
<em>C = 141.3</em>
Answer:
Point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
Step-by-step explanation:
It is given that the radius of the cylinder is 4 units and the height of the cylinder is 4 units.
The volume of the cylinder is
Where, r is radius and h is height of the cylinder.
Substitute r=4, h=4, π=3.14 in the above formula.
The volume of the cylinder is 200.96. Therefore, point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
Answer:
The slope is -17 and the y-intercept is 2.
Step-by-step explanation:
Answer:
The Markov chain is a description of the sequence of possible events in which the probability of an event depends only on the state attained in a previous separate event.
Step-by-step explanation:
The relation described by the Markov chain satisfies the following conditions:
1. All states communicate with themselves, that is P₁₁⁰ = 1 ≥ 0
2. There must be symmetry: if i←→j, then j ←→i
3. There must be transitivity. That is if i ←→k and k←→j, then i←→j
The conditions above imply that the communication is an example of an equivalence relation, meaning that it shares the properties with the more familiar relation, that is
i = i , if i = j ,then j = i etc
