Hey i think the only mistake i caught was when you put 3 points under the line mark instead of only needing 2.
Possibly another mistake at 3a, Only 2 points (but i could be wrong)
Answer:
1/2 cup per friend
Step-by-step explanation:
He has 1 gallon of fruit sorbet to serve to 32 friends
Note that:
1 US gallon of water (gal) = 16.00 US cups of water (cup)
16 cups/1 gallon x 1 gallon/32 friends
1/2 cup per friend
Answer:
7(x+9)=2
Step-by-step explanation:
Answer:
Perimeter = 18(1 + √3 ) cm
Step-by-step explanation:
The radius of each ball = 1/2 * 6 = 3 cm.
Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).
If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.
If the adjacent side of a triangle ( which is part of the side of the big triangle) = x:
tan 30 = 3 / x
x = 3 / tan 30
= 3 / 1/√3
= 3√3 cm.
There are 6 of these sides in the big triangle so their total length =
18√3 cm.
The three 'middle' sides joining 2 billiard balls each have a length of 2 radii = 6 cms ( as they form a rectangle with the radii of 2 billiard balls).
So the perimeter of the triangle = 18√3 + 3(6)
= 18(1 + √3 ) cm
I would have liked to transfer a diagram but I can't get to copy it to this site.
(10-5r)^2=(10-5r)(10-5r) or
25r^2-100r+100
divide the whole thing by 5 and get
5(5r^2-20r+20)
divide the whole thing by 5 again
25(r^2-4r+4)
factor by finding what two numbers add to get -4 and multiply to get 4 (-2 and -2 work)
r^2-4r+4=(r-2)(r-2) or 25((r-2)^2)
