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Actually that is a good answer, unfortunetly it is also wrong.

First  one  ...we  have  two rectangles

The top rectangle  has  the dimensions  (11)  x (14 - 9)   =  11 x 5   =  55 cm^2

The bottom rectangle  has the dimensions  20 x 9  =  180 cm^2

Total area  =  [55 + 180] cm^2   =   235 cm^2

ACB  is an inscribed angle  ....its measure  =  (1/2) of the arc it intercepts

Since  ACB intercepts arc AB  its measure  =  (1/2) (80)  = 40°

Here's the answer on another post:

All correct    !!!!!

HAHAHA!!!!!....it wouldn't be the first time that Melody was unhappy with me   !!!

And THX, auxiarc   !!!!

Total volume  =  Volume of  cone  with a radius = radius of hemisphere =  1  inch  and height of 3 in +  Volume of semi-circle with a radius of 1

Total Volume =  (1/3)pi (r^2) h    +  (2/3) pi r^3   =

(1/3)pi (1^2) * 3  + (2/3) pi (1)^3  =

pi  + (2/3) pi  =

pi ( 1 + 2/3) in^3  =

(5/3)pi  in ^3   ≈  5.24 in ^3

Oh, omigosh! Thank you so much! I see where I went wrong. I tried it for myself and also got the same answer! I appreciate your time and your help:)

I got

(2+4i)  /  (-3+2i)   x   (-3+2i)  /  (-3+2i)

= (-6-4i-12i-8i²)  /  (9+6i-6i-4i²)

= (-6-16i-8i²)  /  (9-4i²)

= (-6-16i-8(-1))  /  (9-4(-1))

= (-6-16i+8)  /  (9+4)

= (2-16i)  /  (13)        OR       2 / 13   x   -16i / 13

(2 + 4i)  / (-3 + 2i)      multiply num/den  by  the conjugate of -3 + 2i  =  -3 - 2i

So we have

(2 + 4i) ( -3 - 2i)

_____________   =

(-3 + 2i) (-3 - 2i)

-6 - 12i - 4i - 8i^2

_______________  = 

9 + 6i - 6i - 4i^2

-6 - 16i + 8

________   =

9 - 4(-1)

  2 - 16i

_________  =

  9 +  4

(2/13) - (16/13) i

Ohhh! Okay, my bad. I will try that. :)

Just to give you some hints: 

for question 1, add 11*14 with (20-11)*9

for question two do the same thing with the splitting method. 

Hey, GM   !!!!

Note that we have two right triangles

We have right angles  at  DEA and  DFA

And angle EAD  = angle FAD

And DA  = DA

So....by  Angle-Angle - Side  these triangles are congruent

So triangle DEA  = triangle DFA

So....DE = DF

So....this means that  y  = x

Yeah ! If you look at my work, then I did that. I'm just not sure if it's right. That's the only problem. :)

2/13-16/13i

that should be the final answer

hope this helped

A 2-digit number is such that the product of the digits plus the sum of the digits is equal to the number. What is the units digit of the number?

Using the Law of Sines

sin A  /a  =   sin C / c

sin A / 8  =   sin (33 )  /11

sin A  =   8 * sin (33)  / 11

Using the arcsin  we  have that

arcsin  [ 8 sin (33) / 11 ]  = A ≈ 23.33°

B =  180  -  33 - 23.33  =   123.67°

Using the Law of Sines again

b/sin B  = c/sin C

b*sin (123.67) = 11/ sin (33)

b =  11*sin (123.67) / sin (33)  =  16.8