Manuel painted 0.75 of a rectangular banner green. After the paint dried, he painted 0.6 of the green area orange. What part of the banner is painted orange?

0.45 part of the banner is painted orange

Step-by-step explanation:

portion of rectangular banner painted green = 0.75

Portion of green painted part which is now painted orange = 0.60

Hence we can say that

0.6 part out of 0.75 part of total banner is painted orange

mathematically it is

0.6 * 0.75 = 0.45

Thus 0.45 part of banner is painted orange .

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)

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°