Emily gave Jake 20% of the buttons. 20% = 15 buttons, and 15 x 5 = 75
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:
Multiplying and simplifying the term 
we get 
Option C is correct option.
Step-by-step explanation:
We need to multiply and simplify:
Simplifying the term:
While multiplying, the variables with same bases are multiplied: 
In the given question only x^2 and x^4 are variables with same bases, So we get:
So, multiplying and simplifying the term we get
Option C is correct option.
Answer:
D! found it out for the brainly gang:)
Step-by-step explanation:
First question: 12 people each play 11 times, so 12 * 11 = 132, there will be 132 matches if each player plays one match against each of the other athletes.
