I need help with this math

1. is 8/15 2. is -4.7 3. is 15.68 4. is -7/24 5. is -9/4 6. is 6.9 7. is 3/5 and hold on I'll get 8 9 and 10 for you

1. 8/15 H

2. -4.2 U

3. 15.68 I

4. -7/24 R

5. -5 1/2 E

6. 6.9 T

7. 3/5 Q

8. 5 2/3 0

9. -25.38 A

10. -2 1/2 S

It has square roots

Step-by-step explanation:

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!