All Answers 356325 Answers

1 myr = $ .325

$.325/ 1 myr =  $x /.myr2800

.325(2800)= $910

$910 - 210 = $700 dollars spent

$210 / 750myr = $x / 1 myr

$0.28 / myr          28 cents per myr    or  1 myr = $.28      Just as DC found!

#1)

Using the similarity statement, we can find \(YR\) by generating a proportion. 

#2) 

This question becomes simple once you know the formula for the volume of a pyramid: \(V_{\text{pyramid}}=\frac{1}{3} lwh\)

#3) 

The fill-in-the-blank questions are really just testing one's knowledge of the individual formulas. 

\(V_{\text{cylinder}}=\hspace{3mm}\pi r^2 h\\ V_{\text{cone}}\hspace{5mm}=\frac{1}{3} \pi r^2 h\)

When you place the formulas side by side, basic observation shows that a cone's formula is 1/3 of the volume of a cylinder with the same base and height. Of course, I already revealed what the formula is, so the volume of a cylinder is \(\pi r^2 h\) , and the formula for a cone is \(\frac{1}{3} \pi r^2 h\)

well in part (a) first you need to multiply the initial value with the exchange rate and you'll get 910 US dollars

and in part (b) you need to find the answer for 210/750 and you'll get 0.28

Here's an alternative method.

Call the distance of E from the line AC, x, then the distance of E from the line BD will be 6 - x.

Call the distance of E from the line AB, y.

We can now write down the areas of the three smaller triangles.

Area ACE = 5x, area AEB = 3y and area BED = 3(6 - x).

So, area ACB = 30 = 5x + 3y, and area ABD = 18 = 3(6 - x) + 3y.

From the second equation, x = y, so substituting into the first equation 8x = 30, x = 15/4.

So, area ACE = 5*(15/4) = 75/4, (which is the one we are asked to find), area AEB = 3*(15/4) = 45/4

and area BED = 3(6 - 15/4) = 27/4.

Volume of a cylinder  =   pi * r^2 * h

325 pi   =  pi * 5^2  * h      divide out pi

325  =  25 * h       divide both sides by  25

13 cm   =  h

For the second one...let's let the original dimensions   =  1  x 7

If the scale factor is 16:1   .....each dimension  in the actual house is 16 times as much...so the area is

7* 16   *   1 * 16  =

7 * 16^2    =  1792 ft^2

Last one

The diagonal is the hypotenuse of a right triangle and "12"  is the length of one of the legs......the other leg will represent the other dimension of the rectangle

So its length is

sqrt  ( 18^2  - 12^2)  =  sqrt (180)  

So   the perimeter is   2 (12 + sqrt (180)   )    =  50.83 in

First  one

Orginal  perimeter  =  2 ( 12 + 17)

New perimeter  =  2 ( 12*12 + 12*17)  =   2 ( 12 (12 + 17) )  =  12 * 2 (12 + 17)

So....the perimeter is increased by a factor of 12

Second one

hypotenuse  = sqrt  ( leg1 ^2  +  leg2 ^2 )  =

sqrt  (15^2  + 25^2 )  =

sqrt  ( 225  + 625)    =

sqrt ( 850)  =  29.15 ft

We are looking for all rectangles such that

Shorter Side              18           9

___________    =    ___   =   ____

Longer Side              32          16

The rectangle at the bottom left obviously qualifies

We need to check

14.4 / 25.6   = 9 / 16      the rectangle at the bottom right also qualifies

21.6 / 41. 6   =  27 / 52     No

23 / 37    No

Equal

pi r^2 h

Whenever we have a segment  in a triangle drawn parallel to a base.....it splits the sides proportionally

Thus

AB / BC  = AE / ED

25 / 15  =  7x - 40  / 18              reduce the fraction on the left

5 / 3   =  7x - 40 / 18         cross-multiply

18 * 5  =   3 [ 7x  - 40 ]      simplify

90  =  21x  -  120        add 120  to both sides

210  =  21x      divide both sides by 21

10  = x

 ΔFSD  is similar to  ΔXRP   by  Angle-Angle similarity....Angle R  = Angle S  and Angle P   = Angle D

Diameter

Circumference

Pi

Diameter

What are they begging you for? Do they want a quid for lunch?

We  have a right triangle ....the hypotenuse is 10    and the opposite side to the angle under consideration is  8.5

So..since the sine function relates the opposite side to the hypotenuse...we can use the arcsin  function to see  if this situation is safe....

arcsin (8.5/ 10)  ≈  58.2°

So....the ladder is safe....

For intersecting chords of a circle  a1 a2 = b1 b2

For this circle:

15 *2  =  5 * n

30 = 5n

n = 6 m

For intersecting chords of a circle   a1 a2  = b1 b2

For this circle diagram

8 * (n+8) = 16 * (n+2)     now solve for n

8n + 64   = 16n + 32

32 = 8 n

n = 4

1)

If you sub the number of month in an=4n+4, you will get this:

First month is January, or 1 =4*(1) + 4 = 8, which agrees with the number of homes sold in Jan.

Sec. month is February, or 2 =4*(2) + 4 = 12, which agrees with the number of homes sold in Feb.

And so on......etc.

2)

The second question forms a Geometric Sequence:

Sum =F x [1 - R^N] / [1 - R]

Sum =8 x [1 - 2^6] / [1 - 2]

Sum =8 x [1- 64] / [ - 1]

Sum =8 x [-63 / -1]

Sum =8 x 63

Sum = 504 

She needs a perimeter    18 x 4 = 72 ft

PLUS TWO diagonals  

   Pythagorean theorem for right triangles

        diagonal = sqrt (18^2 + 18^2) = 25.46 ft

{72 + 2(25.46))  ft  /  25 ft/roll = 4.92 rolls    She will need FIVE rolls

Here is your diagram with my sketch   3 triangles  1 rectangle and 1 square>

Area of a triangle = 1/2 b x h

1) 1/2  3*2

2) 1/2 6*1

3) 1/2 2*6

4) 1 * 6

5) 6 * 6          Add up 1-5 for the total area...I let you do the simple math !

It’s unlikely any of the staff are bulling you. Bulling means to f u c k someone up the  a s s.  None of the staff have ever indicated they are into that kind of thing. But then again, maybe Melody likes to strap one on, now and then.  This gives a new meaning to donut bumping. 

Ack ! TRUE !    I counted 70 twice...bummer !

(x+3)^2 <= 1

x^2 +6x +9 -1 <=0

x^2 +6x +8 <=0

(x+4)(x+2) <=0

From -2 to minus 4 solves this      -4  -3   -2   Three integers  

The ladder is the hypotenuse of a right triangle.  10ft

The leg opposite the angle in question is 8.5 ft

arcsin (8.5/10) = 58.2 degrees     It is OK!