17. What is the total area of the composite figure shown below? 12 cm A 지 A. 138 cm B. 142 cm2 C. 192 cm D. 240 cm 20 cm 18. The scouters were given a task to build a tent. First they need to find the area of its facade to know the cost of materials needed. The side of square is 7 meters and the height of the triangle is 6 meters. What is the area of the facade of their tent? A. A = 70 m2 B. A = 75 m2 C. A = 78 m2 D. A = 80 m² 19. A rectangular piece of cloth measures 80cm by 60cm. When it is placed on a rectangular table. It leaves a margin 5cm wide all around it. Find the area of the table not covered by the cloth. A. The area of the table not covered by cloth is 1500 cm2 B. The area of the table not covered by cloth is 1550 cm2 C. The area of the table not covered by cloth is 1400 cm2 D. The area of the table not covered by cloth is 1450 cm? 20. A roller-rink floor is shown below. Each end is a semi-circle. What is its area? 85 ft 2011 A. The total area of the floor is 4656 ft? B. The total area of the floor is 4655 ft2 C. The total area of the floor is 4657 ft2 D. The total area of the floor is 4658 it?

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step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4