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:
25 kg
Step-by-step explanation:
compare with g and kg. kilogram is over weight than the gram
Answer:
7 ft by 17 ft
Step-by-step explanation:
Our goal is to express the actual dimensions of the room in square feet.
The first dimension on the drawing, 4 1/4 in, corresponds to 17 ft of actual length of the room, as seen below:
We write and solve an equation of ratios:
(4 1/4 in) 1/4 in
------------ = ----------- which comes out to (4 1/4 in)(1 ft) = (1/4 in)(x), or
x 1 ft
17 in-ft = x in, or x = 17 ft is the actual room length
and the actual room width is
(3 1/2 in) 1/4 in
-------------- = -------------, which yields room width y = 7 ft
x 1 ft
Answer:
y -4 = 3(x-3)
Step-by-step explanation:
The point slope form of an equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -4 = 3(x-3)
