Question
1 answer:
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Attached a solution and showed work.
Answer:
Key:
•
• Factor out the last leading term standing to solve in the end.
Step-by-step explanation:
Answer:
The diameter of the circumscribed circle is 6.92
Step-by-step explanation:
In the question, we are asked to calculate the diameter of a circle, which has a an equilateral triangle inscribed in it.
To solve this problem, let us consider the diagram attached.
Now let’s assume the point o is the center of the circle and that r is the radius of the circle. Now to calculate this radius, we need to employ the use of a trigonometrical ratio.
According to the question, we can see that we have the adjacent and the hypotenuse, so the trigonometric identity to use is the cosine.
Mathematically;
Cosine 30 = 3/r
r = 3/cosine 30
Cosine 30 = 0.866
r = 3/0.866
r = 3.46
But in the question, we were asked to calculate the diameter and not the radius.
Mathematically; d = 2r = 2 * 3.46 = 6.92
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
To graph the line find the intercepts
step 1
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0
substitute in the linear equation
The y-intercept is the point (0,-1)
step 2
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0
substitute in the linear equation
The x-intercept is the point (1,0)
step 3
Find a third point
<em>Note</em>: It is important to specify that two points are sufficient to draw a line
assume the value of x=5
substitute in the linear equation and solve by y
so
The third point is (5,4)
step 4
Plot the points and connect them to graph the line
see the attached figure
