Answer:
24/15
Step-by-step explanation:
both fractions have the same denominator, therefore it states the same and the numerators sum linearly
11/15 + 13/15 = 24/15
Check the picture below.
the radius, so-called because if we circumscribe the triangle in a circle, that'd be the radius of the circumcircle, is 3 inches, as you see there in the picture in red.
now, bear in mind that the triangle is an equilateral one, and therefore, 180/3 = 60, meaning all its interior angles are congruently 60°.
if we run the radius of the triangle, like there, it will cut one of those interior angles in half, namely the radius is an angle bisector, and if we run a perpendicular line to the bottom side, like the dashed one there, we end up with a 30-60-90 triangle, to which we can apply the 30-60-90 rule, as you see it there.
since we know what half of a side of the triangle is, as you see it there in blue, then we can use that and plug it in at
A triangle ABC is similar to a triangle A´B´C´ The scale factor of the dilatation : s.
0 * s =0
4 * s = 10
6 * s = 15
s= 10/4=15/6=2.5
The scale factor of the dilatation is 2.5. It is shown in the attachment.
Answer:
1571in^3
Step-by-step explanation:
Given data
h= 20 in
d= 10 in
r= 10/2= 5 in
V= πr^2h
substitute
V= 3.142*5^2*20
V=3.142*25*20
V=1571 in^3
Hence the volume is 1571in^3