Add the following decimals. a. 12.8 + 27.38 + 0.562 b. 13.46 + 5.003 + 0.0321 c. 0.952+ 1.57 + 0.803 d. 43 + 2.386 + 3.74 e. 13.678 + 52.04 + 5.276 + 0.63 f. 0.6 + 0.54 + 1.2 + 116.086 g. 54.2 + 5.42 + 0.542 + 0.0541 h. 10.01 + 9.987 + 3.75 + 2.316

a. 12.8 + 27.38 + 0.562 = 40.742

b. 13.46 + 5.003 + 0.0321 =18.4951

c. 0.952+ 1.57 + 0.803 =3.325

d. 43 + 2.386 + 3.74 =49.126

e. 13.678 + 52.04 + 5.276 + 0.63 =71.624

f. 0.6 + 0.54 + 1.2 + 116.086 =1.7361

g. 54.2 + 5.42 + 0.542 + 0.0541 =60.2161

h. 10.01 + 9.987 + 3.75 + 2.316=26.063

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.