Alibrary ordered 956 new books. they ordered 12 times as many mystery books as romance. they ordered 52 more science fiction books as they did romance books. how many of each type of books were ordered? mystery: science fiction: romance:

Romance books ordered =   65

Mystery books ordered  =  775

Science Fiction book  Ordered ≈ 116

Step-by-step explanation:

Total number of books ordered in the library = 956

Let us assume the number of romance books ordered = m

⇒Number of mystery books ordered = 12 x (Number of romance books)

                                                                =  12 x(m)  = 12 m

Also,number of science books ordered = 52 +(Number of romance books)

                                                                    = 52  +   m

Now, according to the question:

Number of { romance books + mystery books + science books} = 956

or, m  + ( 12 m ) +  (52  + m)  = 956

or, 14 m = 956 - 52

or, 14 m = 904

⇒ m =  904/ 14 =  64.6

So, the number of romance books ordered = 64.6 ≈  65

Number  of mystery books ordered  = 12 m =  12 x 64.5  = 775

Number of science fiction book  ordered = = 52 + m =  116.6 ≈ 116

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: