√2∠105 = √2 cos105 + √2sin105i = -0.36 + 1.63i :)

√2∠105 = √2 cos105 + √2sin105i = -0.36 + 1.63i :)

Assess It #40 (answer)

V = Π r2h V = 3.14 x 1.32 x 4.83 = 25.6 cubic inch :)

Assess It #40 (answer)

V = 4/3 x 3.14 x 4.83 V = 463 cubic inch :)

Assess It #40 (answer)

72 + b2 = 252 b2 = 252 - 72 b2 = 625 - 49 b2 = 576 b= √576 = 24 :)

-3.5(4x – 3)? (answer)

(-3.5 x 4x) + (3.5x3) = -14x + 10.5

What was the speed of the wind? (answer)

Let speed of wind be "w" mph plane speed with the wind = 200+ w mph plane speed into the wind = 200 - w mph Time to travel 500 miles with wind = 500/(200+w) hours Time to travel 500 miles into the wind = 500/(200-w) hours so 500/(200...

Sale tax rate = 25/550 x 100 = 4.55% :)

Please help it's a maths question (answer)

Total ingredients have been reduced by a factor of 280/400= 0.7 All the ingredients should also be reduced by the same factor Chicken - 190 x 0.7 = 133 kg Eggs - 115 x 0.7 = 80.5 kg Sugar - 95 x 0.7 = 66.5 kg :)

stopping distance 2 (answer)

Stopping distance is directly proportional to square of speed. So if speed is doubled stopping distance will be 22=4 times = 4x110 = 440ft. :)

Density of water is 1 Kg per liter So 823000 kg of water = 823000 liter of water 1 gallon = 3.74 liter of water 823000 liters of water = 823000/3.74 gallons = 220053.5 gallons of water

What are the dimensions of the base? (answer)

Let width be x so length = 2x -65 perimeter = 2x + 2(2x-65) = 830 solve for x 2x + 4x - 130 = 830 6x = 960 x = 960/6 = 160 so width = 160 and length = 2x160 -65 = 255 :)

Let one number be x so other number must be x-3/4 x + x - 3/4 = 9 1/4 = 37/4 solve for x 2x = 37/4 + 3/4 = 40/4 x = 40/(2x4) = 40/8 = 5 so one number is 5 and other number is 5-3/4 = 4 1/4 :)...

College algebra (answer)

Let amount Kevin kept for himself = x x + x/2 + x/4 = 735000 solve for x 7x/4 = 735000 x=420000 Kevin got = $420,000 Daughter got = 420000/2 = $210,000 Father got = 420000/4 = $105,000

How do I set up and solve this? (answer)

Top soil required = 50 x 40 x 0.5 = 1000 cubic feet = 1000/27 cubic yard Option 1 Bags required = 1000/3 = 333.33 ~ 334 bags cost = 334 x 2.25 = $751.50 Option 2 Cost = (18 x 1000/27) +50 = $716.67 Option 1 is less expensive...

word problem help! (answer)

Let amount invested in 6% account = X So amount invested in 9% account = X + 2000 Interest earned by 6% account = X x 6/100 x 1 = 6x /100 Interest earned by 9% account = (X+2000) x 9/100 x 1 = 9x/100 + 180 as per question 6x/100...

Let number of T shirts bough6t = x 15x + 6 = 111 solve for x 15x = 111 - 6 x = 105/15 x= 7 :)

Related Rates Question (answer)

πr2h = 1.84 ft3 /min - as long as flow rate is constant and independent of height of water in the pool. 3.14 x 152ft2 x h = 1.84 ft3 /min calculate h :)

distance between two points whose coordinates are x1y1 and x2y2 ü√(y2-y1)2 + (x2-x1)2 In this case a and b are on x axis and their y coordinates are 0. Plug in values x2 = b and x1=a Distance = b-a also we know absolute value of b-a is...

Distance travelled = ∫ (0.3t2 + 8t)dt Integrate from t = 0 to 4 Distance travelled = 0.3t3/3 + 8t2/2 Distance travelled = (0.3 x 43/3 + 8 x 42/2) - 0 Distance travelled = 70.4 units :)

3x + 5x + 9x = 136 17x = 136 x = 136/7 length of all the pieces are: 3 x 136/7, 5 x 136/7, 9 x 136/7 :)

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