All Answers 356060 Answers

20% is 20/100         20% of 360   is     360 x 20/100 = 72 runners in that age bracket

For friend...hair starts at 4 inches    this is 'b'  in    y = mx + b

so for friend   hair length = y = mx + 4          friend's hair grows 6.5 - 4 = 2.5 inches in 5 months = .5 inches/month

    so t = mx + b becomes         Hair length:     y = .5 x +4          where x is months

Similarly for cousin   'b' = 7   and   m = (9-7")/5months = .4    y = .4x + 7  

The answer would be 0 with a remender of 3 

lay it out       0 r.3  

             4  | 3

                 -0

                 3

This is from aops

how do you find the area of a circle

\( The \ area \ of \ a \ circle \ is \ A=\pi\times r^2= \frac{\pi \ d^2}{4}\) 

   !

2+24677ghfvgg

1/2(5+11)4 equal

\(\frac{1}{2}(5+11)^4=\frac{1}{2}\times 16^4=\frac{1}{2}\times 65536=32768\)

  !

its 23

hwefkwenkjwejkwef wrfjnwrw

sin-1(18.0sin71) divided by 24.5

\(\frac{arcsin(18.0\times sin 71)}{24.5}\)

18* sin 71deg =17.02 >1

                                          arcsin (a∈ℝ>1) is not defined

18* sin 71rad = 17.12 >1

  !

First ...how many cranes does she have left to make?   1000 - 304 Cranes

Second ...how many can she make per day?   8 cranes/day

Divide First by Second

(1000-304)cranes / (8 cranes/day) = (1000-304)/ 8  days     = 87 days

This is a RIGHT triangle (because one angle = 90 degrees)

Side AB is the hypotenuse ( if it was one of the legs it would have "C" in its name)

Side BC is the ADJACENT leg to angle B

COSINE = ADJACENT / HYPOTENUSE

COSINE B = 4/20.1

COS^-1   (4/20.1) = B = 78.52 degrees

.-. -head explodes-

i guess

x(3y/3x)

\(x(\frac{3y}{3x})=\frac{3xy}{3x}=y\)

  !

i think 98?????????????????

L:5y+3x=25    →   y =  [25 -3x] / 5     (1)

C: x^2+y^2-4x+6y-21=0       (2)      put (1) into (2)

x^2  + ( [25 -3x] / 5)^2 - 4x + 6 [25 -3x] / 5  - 21  = 0

x^2  + [  625 - 150x + 9x^2] / 25  - 4x + (6/5) [25 -3x] - 21  = 0

Multiply by 25

25x^2  + 625 - 150x + 9x^2 - 100x + 30 [25 -3x] - 525   = 0

34x^2 - 250x + 625 + 750 - 90x - 525  = 0

34x^2 - 340x + 850  = 0        divide by 2

17x^2 - 170x + 425  = 0      divide by 17

x^2 - 10x  + 25  = 0   factor

(x - 5)^2  = 0     →  x  = 5   and y =  [25 -3x] / 5  =    [25 -3(5)] / 5  =  2

So...the intersection is at (5,2)

Graph :

P.S.  -  This is a tangent, not a secant.....

To hard to explan on how to simplify in standered form

On your 15th birthday on July 16, 2017, you will have =18,262 days till your 65th birthday. Or, 50 years x 12 months =600 months till your 65th birthday.

This just equals    (1x1x1) / (2x2x2)  = 1/8

OR   this also equals (1/2)^3 = 1/8

$12.71 is to 106% as x is to 100%  ratio

$12.71/106% = x / 100%    Multiply both sides by 100%

x= original price of book =  $11.99

Here is a quick sketch:

Do the math, and figure it by yourself. I know you can do it. I'm rooting for you!

Graph the directed line segment ST with endpoints S(-3,-2) and T(4,5), Then find the coordinates of point P along the directed line segment ST so that the ratio of SP to PT is 3 to 4

P =  [ -3 + (3/7)(4 - -3),  -2 +(3/7)(5 - -2) ] =

[ -3 + (3/7)(7), -2 + (3/7)(7)]  =

[-3 + 3 , -2 +3 ]  =

[0, 1]

Proof

Distance from  S to T   sqrt[ 7^2 + 7^2] = sqrt(98)=  7sqrt(2)

Distance from  S to P   sqrt[ 3^2 + 3^2] =  sqrt(18)  =  3sqrt(2)

SP/ST  = 3sqrt(2) / 7sqrt(2)  =  3/7   →  PT/ST  =  4/7  ....so.....

SP/PT = 3 / 4

This question was asked the other day     answer was   27 pi    I believe......