Answer:
236 cm²
Step-by-step explanation:
Height of an equilateral triangle (h) = √3 /2 (l)
l = side of the equilateral triangle.
h = √3 /2 (15)
In an equilateral triangle the orthocenter, centroid, circumcenter and incenter are in the same spot
The center of the circle is the centroid and height match with the median. The radius of the circumcircle is equal to two thirds the height.
Formula for the Radius of the circumcircle = 2/3 h
= 2/3 x √3 /2 (15)
= 5 √3 cm (=radius)
Area of the circle = πr^
= 3.14 x( 5 √3 ) ^
=3.14 x(25*3)
=3.14 x 75
=235.5
=236 cm²
Answer: all real numbers
Step-by-step explanation:
7a + 1 = 8a - a + 1
7a + 1 = 7a + 1
a = all real numbers
Let, the numbers = x, (x+2), (x+4)
x+x+2+x+4 = 63
3x+6=63
3x=57
x = 19
so, smallest number would be 19
The general formula to form a parabole equation is written below.
y = a(x - h)² + k
with (x,y) is one of the points lies on the parabola, and (h,k) is the vertex of the parabola.
From the question above, we get this information
(x,y) = (5,24)
(h,k) = (4,9)
The remaining value to find is a. We need to find the value of a to form the equation. Input the numbers to the equation.
y = a(x - h)² + k
24 = a(5 - 4)² + 9
24 = a(1) + 9
24 = a + 9
24 - 9 = a
a = 15
Write the equation, without inputing the value of x and y
y = a(x - h)² + k
y = 15(x - 4)² + 9
<em>This is the equation</em>
The y intercept is (0,5) I really hope I helped!! cheers!
