Aprize was awarded to 56 women and 642 men.
a. what fraction of the prize winners were women?
b. what fraction were men?
simplify each plz

a) of the prize winners were women.

b) of the prize winners were men.

Step-by-step explanation:

Given:

Prize awarded to women = 56

Prize awarded to men = 642

we need to find;

a. fraction of the prize winners were women

b. fraction were men

Solution:

First we will find the Total prize awarded.

Total Prize awarded is equal to sum of Prize awarded to women and Prize awarded to men.

framing in equation form we get;

Total Prize awarded =

Now we need to find the fraction of prize winners were women.

to find the fraction of prize winners were women we will divided Prize awarded to women from Total Prize awarded we get;

fraction of the prize winners were women =

a) Hence of the prize winners were women.

Now we can say that;

to find the fraction of prize winners were men we will divided Prize awarded to men from Total Prize awarded we get;

fraction of the prize winners were men =

b) Hence of the prize winners were men.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

the correct answer is the second option