The account executive of a brokerage firm has recommended that one of her customers consider stock from five aerospace companies, three energy development companies, and four electronics companies. After some research, the customer has decided to purchase shares in the stocks of two aerospace companies, two energy development companies, and two electronics companies. In how many ways can the investor select the group of six companies for the investment from the recommended list of five aerospace companies, three energy development companies, and four electronics companies

180 ways

Step-by-step explanation:

Aerospace companies (A) = 5

Energy development companies (D) = 3

Electronics companies (E) = 4

Number of aerospace stocks bought (a) = 2

Number of Energy development stocks bought (d) = 2

Number of Electronics stocks bought (e) = 2

The number of ways that the investor can select his six investments from the recommended list is given by the combination of picking two out five aerospace companies, multiplied by picking two out three energy development companies, multiplied by picking two out four electronics companies:

There are 180 ways for the investor to select the six companies.

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'.

answer: about 22.67

step-by-step explanation: