Hexagon ABCDEF has has vertices A(-2,4), B(0,4), C(2,1), D(5,1), E(5,-2), F(-2,-2). Sketch the figure on the coordinate plane. W
Andreyy89
<span>A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).
The common length of the sides equals the radius of the circumscribed circle, which equals {\displaystyle {\tfrac {2}{\sqrt {3}}}} {\displaystyle {\tfrac {2}{\sqrt {3}}}} times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular hexagon has 6 rotational symmetries (rotational symmetry of order six) and 6 reflection symmetries (six lines of symmetry</span>
Step-by-step explanation:
Step 1 is the same for both 1. and 2., so we will show it just once.
Step 1. Read the problem. Draw the figure and
label it with the given information.
.
1.
Step 2. Identify what you are looking for. the volume of the rectangular solid
Step 3. Name. Choose a variable to represent it. Let
V
= volume
Step 4. Translate.
Write the appropriate formula.
Substitute.
V
=
L
W
H
V
=
14
⋅
9
⋅
17
Step 5. Solve the equation.
V
=
2
,
142
Step 6. Check
We leave it to you to check your calculations.
Step 7. Answer the question. The surface area is
1,034
square
Answer: 0.064
Step-by-step explanation:
Binomial probability formula :-
, where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting succes in each trial.
Given : The proportion of the homes constructed in the Quail Creek area include a security system : 
Now, if three homes are selected at random, then the probability all three of the selected homes have a security system is given by :-
Hence, the probability all three of the selected homes have a security system = 0.064
Answer:
<em>26ft</em>
Step-by-step explanation:
<em>Complete Question:</em>
<em>The equation a = 26w gives the area of a (in square feet) of a rectangle dance floor with a width of w feet. Find its length</em>
<em></em>
Formula for calculating the area of a rectangle is expressed as shown;
Area of a rectangle = Length * Width
Given the equation a = 26w that gives the area of a rectangle
On comparing with the formula;
Length * Width = 26w
Length = 26ft (by comparison)
<em>Hence the length of the rectangle is 26ft</em>
