# Posts by henry

Total # Posts: 13,642

science

Science
r = 4,000m/3min *100cm/m = 133,333 cm/min.

Math
<COA = 90o: Given. <DOA = 135o: Given. <DOC = <DOA - <COA = 135 - 90 = 45o.

math
Now: X years old. 5 yrs. ago: x-5 yrs. old. 5 yrs. from now: x+5 years old. x+5 = 2*(x-5)^2. x+5 = 2(x^2-10x+25). x+5 = 2x^2-20x+50, -45 = 2x^2-21x, 2x^2-21x+45 = 0. Use Quadratic Formula: X = (21 +- sqrt(441-360))/4 = 30/4 = 15/2, and 3. Use the larger number: X = 15/2 = 7.5 ...

physics
1. M*V1 + M*V2 + M*V3 = M*V + M*V + M*V. M*10[30o] + M*20[30] + M*30[30] = 3MV. Divide both sides by M: 10[30o] + 20[30] + 30[30] = 3V, 60[30o] = 3V, V = 20m/s[30o].

Math
5km/(1.6km/mi) = 3.125 Miles = 3 1/8 Miles.

Math
1 * 12. 2 * 6. 3 * 4. Total = 3 different stands.

PreCal
44Ft/0.5s * 1mi/5280Ft * 3600s/h = 60 mi/h.

Physics
d = V*t + 0.5g*t^2. 20 = V*1 + 0.5*10*1^2, V = 15 m/s = Velocity at top of pole. V^2 = Vo^2 + 2g*d. 15^2 = 0 + 20d, d = 11.25 m.

Science Help Practice
1. 0.5M*V^2 = KE. 0.5 * 90,000 * V^2 = 1*10^9 J. V = ?. V = 149.07 J. 2. Use same formula as #1: 0.5M*V^2 = KE. 0.5M * 23^2 = 4.32*10^6 J. M = ?.

Science
M*g = 50 * 9.8 = 490 N. = Wt. of block. = Normal force(Fn). Fp = 490*sin30 = 245 N. = Force parallel with the incline. Fs = u*Fn = u * 490 = 490u. Fap-Fp-uFn = M*a. 250 - 245 - 490u = M*0 = 0, u = 0.010.

science
Volume.

Physics
Vb = Do/Dl * Vo. 3/4 = Do/1.2 * 1. 4Do = 3.6, Do = 0.9kg/m^3. = Density of the object.

HELP plz
I would use C.

Math
Another Method: L = 2*(3+40+3) + 30 + 30 = 152 Ft. = Length of walkway. A = L*W = 152 * 3 = 456 Ft^2.

Math
All dimensions are assumed to be in feet. Lo = 3 + 40 + 3 = 46 Ft. = Length of outer rectangle. Wo = 3 + 30 + 3 36 Ft. = Width of o = uter rectangle. Ao = Lo * Wo = 46 * 36 = 1656 Ft^2. Ap = 40 * 30 = 1200 Ft^2. Ao - Ap = 1656 - 1200 = 456 Ft^2. = Area of walkway.

math
Velocity in the morning = V mi/h. Velocity in the evening = V-6 mi/h. d = V*t = V * 20/60. d = (V-6) * 31/60. V * 20/60 = (V-6) * 31/60. V = 16.91 mi/h. d = V * 20/60 = 16.91 * 20/60 = 5.64 Miles.

math
d1 + d2 = L. d1 = Distance covered by cyclist #1. d2 = Distance covered by cyclist #2. d1 = L-200. d2 = L-100. (L-200) + (L-100) = L. L = 300 m. = Length of road.

Precalculus 11
Plane takes T hours. Train takes T+1 hours. Velocity of train = V km/h. Velocity of plane = 2V km/h. Plane: 2V*T = 240 km. Train: V*T = 240 km. Therefore, 2V*T = V*(T+1). T = 1 h. T+1 = 1 + 1 = 2 h. 2V*T = 240. 2V * 1 = 240, 2V = 240 km/h = Velocity of the plane.

ALGEBRA HELP #2
A. V = Vo + a*t. V = The velocity in km/h at any time where t is in hours. a is the acceleration in km/h^2.

trigonometry(height and distance)
The distance should be 5m LONGER at 45o. Tan 45 = h/(d+5). h = (d+5)*Tan45 = d+5. Tan60 = h/d. h = d*Tan60 = 1.73d d+5 = 1.73d. d = 6.83 m. h = d + 5 = 6.83+5 = 11.83 m.

math
Correction: 2/15 - 0.13333.

math
13 1/3% = (40/3)%/100% = 40/300 = 2/15 = 0.23333. 6500(1-2/15) = 6500(15/15-2/15) = \$5633.33 After discount. P = 1.4 * 5633.33 = \$7886.67 = Market price.

math
Original price = P. P - 0.12P = 2160/2. 0.88P = 1080, P = \$1227.27.

math
Cost = 0.8P. 0.8P + 0.2*(0.8P) = 720. P = \$750 = Original price. 90.8P = 720. 0.8P + 0.16P = 720, P = \$750. = Original price.

maths
d = 50*Cos230 = -32.1 m = 32.1 m west of starting point.

mathis
d = 700*Cos A.

Math
T = 22 * 1000/60 = Min.

math
Each had L cm of ribbon. Dawn: (L-128)cm/12Bows = cm/Bow. Emily: (L-176)cm/9Bows = cm/Bow. Since the bows were equal, each used the same cm/bow: (L-128)/12 = (L-176)/9. L = 320 cm of ribbon for each girl. Emily: (320-176)/9 = 16cm/Bow. 176cm/(16cm/bow) = 11 Bows she can make ...

math
d = NB + BC + CN. d = 2 + sqrt(6.3^2+2^2) + 6.3. d = 2 + 6.6 + 6.3 = 14.9 Ft. So Noah covered a distance(d) equal to the perimeter of a rt. triangle: a = 2 Ft. b = 6.3 Ft. c = 6.6 Ft. P = a + b + c = 14.9 Ft.

Geometry
1. AB + BC = AC. 5x + (2x-4) = 52. 7x = 52 + 4 = 56, X = 8. 2. AB + BC = AC: Addition. BC + CD = BD: Addition. AB = CD: Given. Therefore, AB + BC = BD: Substitution. AC = BD: Quantitives that are = to the same quantitive are = to each other.

Algebra
1,2,3,4,5,6. (1). 1,2,3. (2). 2,3,4. (3). 3,4,5. (4). 4,5,6. (5). 5,6,1. (6). 6,1,2. (7). 1,3.5. (8). 2,4,6. (9). 3,5,1. (10). 4,6,2. (11). 5,1,3. (12). 6,2,4. 0

Algebra
Emma is X yrs. old now. Damien is X+6 yrs. old now. 9 yrs. from now: Emma, X+9 yrs. old. Damien, (X+6)+9 yrs. old. (X+9) + (X+6 + 9) = 82. X = ?. Damien = X+6.

Science
Disp. = 20km[60o] + 30km[0o] + 10km[90o]. Disp. = (20*Cos60+30) + (20*sin60+10)i. Disp. = 40 + 27.3i = 48.5km[34.3o] N. of E.

Algebra
--See previous post: Sat, 8-5-17, 12:47 PM.

Algebra).
(6). 1. 3, 5. (7). 2, 4, 1. (8). 3, 5, 2. (9). 4, 1, 3. (10). 5, 2, 4. Total = 10 Groups.

Algebra
1, 2, 3, 4, 5. (1). 1, 2, 3. (2). 2, 3, 4. (3). 3, 4, 5. (4). 4, 5, 1. (5). 5, 1, 2. 5 Groups.

Physics
2. V = Vo +a*t 20 = 0 + a*10, a = 2 m/s^2. F = M*a = 1000 * 2 = 2,000 N. P = F*V/2 = 2000 * 20/2 = 20,000J/s = 20,000 Watts.

Physics College
F1 * d1 = F2 * d2. 345 * 3.76/2 = F2 * (3.76/2-0.25). F2 = ?.

math
d = -7 + 24i = 25km [-73.7o]. -73.7o = 73.7o N. of W. = 106.3o CCW = 16.3o W. of N( The bearing).

math
Cost = \$300/100 = \$3.00/Orange. 100-100/5 = 100 - 20 = 80 Oranges sold at a profit. 20*\$3/Orange + 80*\$X/Orange = 1.25*\$300. 60 + 80x = 375. X = \$3.94 each.

Maths
d1 + d2 = 2420. V1*T1 + V2*T2 = 2420. V2 = 2V1, T1 = T2 = 1.5 h. V1*1.5 + 2V1*1.5 = 2420, V1 = ?. V2 = 2V1.

Physics
Displacement = 250km[330o] + 420km[0o]. Disp. = 250*Cos330+250*sin330 + 420, Disp. = 216.5 - 234.9i + 420. Disp. = 636.5 - 234.9ii = 678.5km[-20.3], Disp. = 678.5km[20.3o] S. of E.

Algebra
Eq1: Y = -2x + 7. m = -2. Eq2: 4x + 2y = 14. m = -A/B = -4/2 = -2. The Eqs have equal slopes and do not intersect. Therefore, there is no solution.

Math
CHECK: P1 + 0.26P1 = \$31,300. 1.26P1 = 31,300, P1 = 24,841.27. P2 = 1.46P1 = 1.46 * 24,841.27 = 36,268.25. P3 = 1.15P2 = 1.15 * 36,268.25 = 41,708.49. P4 = (1-0.4)P3 = 0.6*41,708.49 = 25,025.10. P5 = 1.14P4 = 1.14 * 25,025.10 = 28,528.61.

Physics
a. V^2 = Vo^2 + 2g*h. 0 = (78.4)^2 - 19.6h, h = ?. b. V = Vo + g*Tr. Tr = Rise time. 0 = 78.4 - 9.8Tr, Tr = ?. Tf = Tr. Tf = Fall time. Tr + Tf = Time in flight.

Physics
Tan A = 2/25 = 0.08, A = 4.57o. Fp = Mg*sin A = 10,000*sin4.57 = 797.5 N. = Force parallel to incline. V = 18km/h = 18,000m/3600s. = 5 m/s. P = Fp*V = 797.5 * 5 = 3988 J./s = 3988 W.

ALGEBRA 1 HELP
Function A: F(x) - 5x + 2. Function B: F(x) = mx + b. P1(-1,2), P2(1,8). m = (y2-y1)/(x2-x1) = (8-2)/(1-(-1) = 6/2 = 3. Y = mx + b. 2 = 3*(-1) + b b = 5. Function B: F(x) = 3x + 5.

Math
X = 5/2, Y = 4/3, Z = 3/4. 24xyz = 24*5/2*4/3*3/4.

ALGEBRA 1 HELP
The value of (x-4) when x equals 3.

math
Taxable amt. = 132,000 - 60,000 = \$72,000 Tax = 0.2 * 72000 = \$14,400. Actual Income = 132,000 - 14,400 = \$117,600.

Math
x - y = 6. X = y + 6 x^2 + y^2 = 116. (y+6)^2 + y^2 = 116 y^2 + 12y + 36 + y^2 = 116 2y^2 + 12y + 36 = 116 Divide by 2: y^2 + 6y + 18 = 58. y^2 + 6y - 40 = 0. (y-4)(y+10) = 0 y-4 = 0, Y = 4. y+10 = 0, Y = -10. :: Use the positive value of Y: Y = 4. x-y = 6 x - 4 = 6 X = 10.

Math
post.

Math
C + 0.1C = 121. 1.1C = 121 C = \$110.

math
P2 = P1*r*t/(1-(1+r)^-t). P1 = \$10.000 * 0.80 = \$8,000 = Loan amount. r = 0.054/12 = 0.0045/mo. t = 60 mo. P2 = 8000*0.0045*60/(1-1.0045^(-60)) = \$9,146.42 Monthly Payment = P2/t.

math
What does Ps mean?.

Math
P = Po + Po*r*t = \$1748. Po + Po*0.075*2.5 = 1748 Po + 0.1875Po = 1748Po Po = \$1472 = Initial amount.

Trigonometry
Vr = 160[80o] + 20[310o] = Resultant velocity. Vr = (160*Cos80+20*Cos310) + (160*sin80+20*sin310)i Vr = 40.64 + 142.25i = 147.7mph[74.1o] Heading = 74.1o

math 10
8 GB = 8,000 MB. 8,000MB/(3.5MB/song) = 2285 Songs that can be stored in memory.

Math
6*S = 102. S = 17 = Savings.

Physics
a. h = g*t^2. 10.0 = 9.8t^2, t = ?. b. Xo = 15 m/s. d = Xo * t.

Physics
F = M*a. a = F/M = 850/0.05kg = 17,000 m/s^2. V = Vo + a*t = 68 m/s. 0 + 17,000t = 68, t = 0.004 s.

Physics
Energy = 900 * 2.5/60 = 37.5 Watt-hours.

Physics
a = g = -9.8 m/s^2. b. a = g = -9.8 m/s^2. c. V = Vo + g*Tr = 0. 13 - 9.8Tr = 0 Tr = 1.33 s. = Rise time. h = ho + Vo*Tr + 0.5g*Tr^2. h = 30 + 13*1.33 - 4.9*1.33^2 = 38.6 m. V^2 = Vo^2 + 2g*h. V^2 = 13^2 - 19.6*38.6 = 925.6 V = 30.4 m/s. d. h = 0.5g*Tf^2 = 38.6. 4.9*Tf^2 = 38....

Physics
Note: A is negative and in the 4th Quadrant.

Physics
A = 28*Cos110 + 28*sin110 = -9.58 + 26.3i. B = 63*Cos(-30) + 63*sin(-30) = 54.6 - 31.5i. A+B = -9.58+20.3i + 54.6-31.6i = 45.0 - 11.3i. Cartesian = (x,y) = (45,-11.3). Polar: Tan A = Y/X, A = ?. R = 45/Cos A. Polar = (R,A degrees).

math
Sq. A = X in, each side. Sq. B = x-1 in, each side. x+x+x+x = 81. 4x = 81 X = 20.25 in. x-1 = 20.25 - 1 = 19.25 in.

Math
F = M*sin A = 6*sin60 = 5.2 kg.

Math
80 = 0.4N. N = ?.

Math
6% of b = 0.06 * b = 0.06b.

Math
62 1/2% = 62.5%. 62.5%/100% = 0.625. 0.625 ^ 80 = 50.

math
2/5%/100% = 0.40%/100% = 0.004

Math
4.5% = (4 1/2)% = (9/2)%. (9/2)%/100% = 9/2 * 1/100 = 9/200. Check: 9/200 * 100% - 900%/200 = 4.5%.

math
Bought x carrots. 2/5 * x = 8, X = 20 Carrots. 20 - 8 = 12 Carrots in plastic bag.

math
X slices = Whole pizza. 1/3 of a pizza = 12 Slices. 1/3 * x = 12. X = 36 Slices = A whole pizza. 1/2 * 36 = 18 Slices.

math
3/4 * 1600 = 1200 Dial phones. 1/3 * 1200 = 400 Replaced by touch-tones. 400 + 300 = 700 = Total touch-tone phones. 700/(1600+300) = 700/1900 = 7/19 = a.

I'm assuming that the ht. of bldg. is 80 FT. instead of 80m. V = Vo + g*Tr = 0. 64 + 32Tr = 0, Tr = 2 s. = Rise time or time to reach max height, H. H = -16*2^2 + 64*2 + 80 = 144 Ft. 0.5g*Tf^2 = 144. 16Tf^2 = 144, Tf = 3 s. = fall time. T = Tr + T = 2 + 3 = 5 s. = Time in ...

Physics
Correction: Vr = -75.71 - 59.37i = 96knots[38.1o] S. of W.

Physics
Vr = 100[225o] + 20[90o] + 10[240o]. Vr = -70.71-70.71i + 20i -5-8.66i, Vr = -75.71 - 79.37i = 110knots[46.35o] S. of W.

V = Vo + g*Tr = 0. 24.5 -9.8*Tr = 0, Tr = 2.5 s. = Rise time or time to reach max height(H). H = 29.4 + 24.5*2.5 - 4.9*2.5^2 = 60 m. Above gnd. H = 0.5g*Tf^2 = 60. 4.9Tf^2 = 60, Tf = 3.5 s. = Fall time. T = Tr + Tf = 2.5 + 3.5 = 6 s. = Time in flight.

Physics
Fr = F1 + F2 + F3 + F4. Fr = 20[45o] + 15[135o] + 5[[225o] + 10[315o] Fr = 14.14+14.14i + 10.61-10.61i -3.54-3.54i +7.07-7.07i, Fr = 28.28 - 7.08i = 29.16kg[-14.1o] = 29.16kg[14.1o] S. of E.

Physics
OOPS! Henry, not anonymous!

physics
Post.

physics
Vo = 80,000m/3600s = 22.22 m/s. V= Vo + a*t = 0. 22.22 + a*70 = 0, a = -0.317 m/s^2. V^2 = Vo^2 + 2a*d = 0. (22.22)^2 - 0.63779 4d = 0, d = 779 m.

Mathematics
59/200 are women.

Mathematics
X = Total population. (3/200)x + (59/200)x + 1080 = X. X = ?. Divide both sides by X and add the fractions.

electronics
1. FALSE: The impedance is max at resonance and min at frequencies above and below resonance. The impedance of a series resonant circuit is min at resonance and max at frequencies above and below resonance. 2. TRUE. 3. FALSE: The statement is true for the series resonant ...

Physics
M*g = 6 * 9.8 = 58.8 N. = Wt. of Mass. = Normal force(Fn). a. Fk = u*Fn = 0.20 * 58.8 = 11.8 N. - Force of kinetic friction. b. Fap-Fk = M*a. Fap = ?.

Physics
V^2 = Vo^2 + 2a*d. V = 137 m/s, Vo = 0, d = 0.66m, a = ?.

Maths
Worked X days. Absent 20-x days. 120x - 10(20-x) = 1880. 120x - 200 + 10x = 1880, 130x = 2080, X = 16 Days. 20-x = 20-16 = 4 Days absent.

Maths
X Degrees at 6 A.M. x - 2Degrees/h * 6h = 31. x - 12 = 31, X = 43 Degrees.

Biology
Codominance is a form of inheritance in which two different alleles for a gene are both expressed, and neither allele is dominant over the other. The alleles for type A blood and type B blood are codominant. If a man who is homozygous for type A blood and a woman who is ...

physics
Va = 60rev/min * 6.28rad/rev * 1min/60s =

math
A = pi*R^2.

math 106
The amount of loan can be any value as long as the loans are equal.

math 106
Loan A: P = Po(1+r)^n. Po = \$100. r = 0.12/12mo. = 0.01/mo. P = 100(1.01)^12 = \$\$112.68 Loan B: P = 100(1.125)^1 = \$112.50

physics
V = Vo + g*t. V = 0 + 9.8*2 = 19.6 m/s.

Math
(1/9+2/9)*360 = Amt. spent.

Math
Nadia has X walnuts. Manar has Y walnuts. Eq1: x + y = 140. Nadia has x-15 walnuts. Manar has y+15 walnuts. x-15 = y+15. Eq2: x - y = 30. Add Eq1 and Eq2: x + y = 140 x - y = 30 Sum: 2x = 170, X = 85. x + y = 140. 85 + y = 140, Y = 55. Manar has 55 walnuts.

physics
5A = 5,000mA. Ig = 1mA. = Current through the galvanometer. Ir = 4,999mA = Current through the resistor. R = (1mA/4,999mA) * 50 Ohms = 0.01 Ohms in parallel with the galvanometer.

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