ElectricPavlov

First find the areas of the walls       14 x 7      and    25 x7        (there are TWO of each of these walls)

Sum up the areas    you found above

Now DOUBLE this sum   (she wants TWO coats of paint)  = TOTAL SUM AREA

then

TOTAL SUM AREA / 500 ft²/gal    = # gallons required.....

Draw your triangle ....    calculate hypotenuse via pythagorean theorem

hypotenuse =  4 sqrt 5

csc b =  1/sin b    =   1/ (opp/hyp) =  hyp/opp =  (4 sqrt5)/8 = sqrt5 / 2  

    Now you try the rest......

Tan A = opp/adj =

cos B = adj/hyp =  

I think you have the second one correct !!

$ 396 / $2200    x 100%  =   ?

7" / 9 hr      does it equal     42" / 54 hr

does 

7/9  =  42/ 54     ?     What do YOU think?

x = youngest

x+1

x+2

x+3     the other three kidz

x    +    x+1  +    x+2   +   x+3      = Lauren's age        which is also    = 5x

4x  + 6 = 5x

x = 6  = youngest

Lauren = 5 * 6 = 30 y/o

Complementary means the two angles sum to 90 degrees

A ratio of   1:3    means one is 3 times bigger than the other

x   + 3x  =  90

4x = 90

x =  22.5  degrees      the other is  3 times this     67.5 degrees 

yes.....

The bus gets a 40 min   ( 2/3 hour)   head start    2/3 hr x 45 m/hr = 30 mile head start

Mom drives  (60-45) = 15 m/hr faster than the bus....it will take 2 hours to close the 30 mile headstart gap.

8:40  + 2 hours  = 10 :40

There is only 5 terms  ( i = 1   2    3    4   5 ),  so let's just expand it out

3 (1)  + 3 (2)  + 3 (3)  + 3 (4)  + 3 (5)   =            You can do the rest !

Volume of a cone formula     V =   1/3 pi r^2 h

You are given  Volume = 16 pi

you are given   h

16 pi    = 1/3  pi    r^2    ( 12)        Divide both sides by pi

16        = 1/3        r^2     (12)         1/3   * 12 = 4

16         = 4          r^2                     divide both sides by 4

4           =             r^2                     You should be able to take it from here !