Answer:
The diameter is 6.92 unit.
Step-by-step explanation:
Given : An equilateral triangle with sides of length 6 is inscribed in a circle.
To find : What is the diameter of the Circle?
Solution :
First we picture the situation.
Refer the attached figure below.
We that the angles of equilateral triangle is 60 degrees.
Then, we divide the triangle into two parts to solve the radius.
As,
∠ACD is 60°


In triangle OCD,






Diameter = 2r=2(3.4641)=6.92 unit.
Therefore, The diameter is 6.92 unit.
Answer:
First graph
Step-by-step explanation:
Start by determining the y-intercept. Letting x = 0 yields f(0) = 2(1) = 2. This exponential graph must pass through (2, 0). This eliminates both the second and the fourth answer choices.
Looking at the first graph, we see that (1, 6) is on the graph. Does this agree with f(x) = 2(3)^x evaluated at x = 1? Is f(1) = 2(3)^1 = 6? YES. So the first graph is the correct one for f(x) = 2(3)^x.
a - (180 -a) = 30 -> 2a -180 = 30 -> a = 105° and therfore b= 75°
(-9/2)/(7/5)
= (-9/2)*(5/7)
= -45/14
= -3 3/14
The final answer is -3 3/14~
Answer:
g(x)=|(2)(x+4)|-2
Step-by-step explanation:
B=0.5
h= -4
k= -2