ElectricPavlov

Cosine funnction

cos x

Ampltude ( 1/2 of the height of the wave from lowest to highest point) is usually 1....this one is 4

4 cos x

Period is 2 pi ...this is the normal period of cos

4 cos x

Shifted  pi/4 to the RIGHT  ( you could say 7 pi/4 to the LEFT)

4 cos (x- pi/4)

Midline (usually midline = 0) is shifted DOWN 4

4 cos ( x - pi/4) - 4

How about the water in tank B?

ratio of  11: 15      11/15 = 550/x          550 * 15/11 = cap B = 750 gal       53% 0f 750 = .53 x 750 = 397.5 gal in tank B

Tank A capacity = 550 gallons       66% x 550 gallons = 363 gallons in Tank A                  Did you ask the correct question?

HK = 88

ES = ES

ST = ES + 8      summed = 300

88 + ES  +    ES+8 = 300

ES = 102 stories         ST = 110 stories  

Each pound is 16 ounces

3 lb  x  16 oz/lb   +  7 oz = 55 ounces

This IS the Pythagorean theorem

L₁²   +  L₂² = hyp²      the question tells you sqrt (hyp )  =2

                                      square both sides           hyp =   4

                                        square again                hyp² = 16

L1²   +  L2² = hyp²  = 16 units

Find the other leg using pythagorean theorem

l^2  + 4^2  = (sqrt97)^2

l^2 + 16 = 97

l^2 = 81

l = 9

so you have two legs    one is 4    and one is 9      area of triangle = 1/2 b *h        b =base (one leg)   h = height (other leg)

                                                                                    area     =   1/2  * 9 * 4  = 18 sq inches

Not finished yet !     A square foot is 12 x 12 = 144 in²   

     so the fraction of a square foot that is 18 inches²   is      18 / 144   = 18/144 =        1/8  ft²                                                             

Sum of the angles = 360 ^o

x   +      5x+15     +        3x-25      +      4x-20       = 360

solve fo x  = 30            now YOU can figure which angle is the largest.....

the arm   has a 2 hr headstart    3 km/hr x 2 hr = 6 km   before racoon sets out

then the two critters are separating at    3 + 5 = 8 km / hr

6 km  +   8km/hr  *  x hr = 38 km

x= 4 hr   after the racoon left       or 6 hours after the arm left        noon + 6hr =  1800    or   6 pm

You're welcome !