Answer:
700/383
Step-by-step explanation:
Drawing this square and then drawing in the four radii from the center of the cirble to each of the vertices of the square results in the construction of four triangular areas whose hypotenuse is 3 sqrt(2). Draw this to verify this statement. Note that the height of each such triangular area is (3 sqrt(2))/2.
So now we have the base and height of one of the triangular sections.
The area of a triangle is A = (1/2) (base) (height). Subst. the values discussed above, A = (1/2) (3 sqrt(2) ) (3/2) sqrt(2). Show that this boils down to A = 9/2.
You could also use the fact that the area of a square is (length of one side)^2, and then take (1/4) of this area to obtain the area of ONE triangular section. Doing the problem this way, we get (1/4) (3 sqrt(2) )^2. Thus,
A = (1/4) (9 * 2) = (9/2). Same answer as before.
Answer:
6.75 grams
Step-by-step explanation:
Total amount of lemonade with Samantha = 4 1/2 gallons
= (4*2 + 1)/2 gallons = 9/2 gallons = 4.5 gallons
Amount of fat in 1 gallon of lemonade = 1.5 grams
To find amount of fat in 4.5 gallons lemonade
we multiply both side of equation with 4.5
Amount of fat in 1*4.5 gallon of lemonade = 1.5*4.5 grams = 6.75 grams
Thus,
there is 6.75 grams of fat in all the lemonade Samantha has for the party
