# Posts by henry

Total # Posts: 13,538

Trigonometry
Tan =

Trigonometry
Y = 67 in. X = 67/2 = 33.5 in. Tan A = Y/X = 67/33.5 = 2.0 A = 63.43o.

Math
F = 700*SIN15 = 181.2 Lbs.

Math
a/sin A = b/sin B. a/sin43 = 10/sin112, a = ?.

Math
V1 = V2*1.42, V1 = (V1-20)*1.42, V1 = 67.7 Mi/h. d = V1*T1 = 67.7mi/h * 1h = 67.7 m1.

Math
d = V1*T1 = V2*T2. V1 * 1 = V2*(60+25)/60, V1 = V2*1.4

science
M1*d1 = M2*d2. M2 = 40 * 2 = M2 * 3.2, M2 = 25kg = Girl's wt.

Physical Science
P = I^2 * R.

Geometry
Find AX in the diagram if CX bisects angle ACB. And then there's a diagram below with triangle ABC, where X is on line C, BC=45, AC=21, and BX=30.

MAth
Disregard the first 2 lines.

MAth
Absent: X days. Worked: 28-x days. \$9100/(\$500/day) =

science
Ans: C.

algebra 2
I1 = 10^6. I2 = 10^2*10^6 = 10^8. db(increase) = 10*Log(I2/I1). db(increase) = 10*Log(10^8/10^6) = 20.

physics
2c. Correction: 0 = 20^2 - 10d, d = 40 m.

physics
1. 72km/h = 72000m/3600s = 20 m/s. 2a. V2 = V1 + a*t. 0 = 20 + a*4, a = -5 m/s^2 = deceleration. 2b. F = M*a = 1200 * (-5) = -6000 N. The negative sign means the force opposes the motion. 2c. V2^2 = V1^2 + 2a*d. 0 = 20 - 10d, d = 2m.

Math and science
On the moon : M*g = 300 N. M*(9.8/6) = 300, M * 1.63 = 300, M = 183.7kg. On earth: Wt. = M*g = 183.7 * 9.8 = Or, On earth: 6 * 300 = 1800 N.

mechanical principle
Circumference = pi*d = 3.14 * 0.4 = 1.26 m. 1. Va = 8rev/20s * 6.28rad/rev = 2.51 rad/s. 2. V = 8rev/20s * 1.26m/rev = 0.502 m/s. 3. Va = Vo + a*t. 2.51 = 0 + a*20, a = 0.126 rad/s^2. 4. V = Vo + a*t. 0.502 = 0 + a*20, a = 0.025 /s^2.

math
P = 2h + 2W = 2*5.5 + 2*1.5 =

AL = 2(W*h) + 2(L*h) = 624cm^2. 2(13*13) + 2(L*13) = 624, 338 + 26L = 624, L = 11 m. 1. Assuming the ends are square, W = h = 13 m. As = 2(L*W) + 2(L*h) + 2(W*h). 2. V = L*W*h.

Correction: 1. As = 2(L*W) + 2(L*h) + 2(W*h).

AL = 2(L*h) = 624cm^2. 2(L*13) = 624, L = 24cm. Assuming the ends are square, W = h = 13 cm. 1. As = 2(L*W) + AL. Or As = 2(L*W) + 2(L*h). 2. V = L*W*h.

math
P = Po + Po*r*t. P = 10,000 + 10,0000*(0.0825/365)*197 = 10,000 + 445.27 = \$10,445.27. 3rd Payment = 10,445.27 - 6000 = \$4,445.27.

Physics
NOTE: My vol. calculation was not required.

Physics
Vb = L*W*h = 12 * 12 * 6 = 864 cm^3. = Vol. of the block. Db/Dw * h = 600/1000 * 6cm = 3.6 cm submerged.

Math
b. 214 Ft. needed.

Math
a. L = 26 + 2*15 = 56 Ft. W = 21 + 2*15 = 51 Ft. P = 2L + 2W = 2*56 + 2*51 = 214 Ft. = Perimeter. Answer: 56ft by 51ft, 214ft.

PHYSICS
A. V = Vo + g*Tr. 0 = 40 - 9.8Tr, Tr = 4.08s = Rise time or time to reach max. ht. B. hmax = ho + Vo*Tr + 0.5g*Tr^2. hmax = 70 + 40*4.08 - 4.9*(4.08)^2 = 151.7 m. above gnd. C. Tf = Tr = 4.08 s. = Fall time. D. V = Vo + g*Tf = 0 + 9.8*4.08 = 40 m/s. E. h = ho - 0.5g*Tf^2. 0 = ...

Math 11
Y = a(x-h)^2 + k. 8 = a(6-5)^2 - 1, 8 = a - 1, a = 9. Y = 9(x-5)^2 - 1.

Physics
Correction: a. M = D*V = 6.5g/cm^3 * (20cm)^3 = 52,000g = 52kg.

Physics
So, the actual density is 6.5 times density of water: D = 6.5 * 1g/cm^3 = 6.5g/cm^3. a. M = D*V = 0.5g/cm^3 * (20cm)^3 = 4000g = 4kg. b. M = D*V. V = M/D = 3000g/(6.5g/cm^3) = 462 cm^3.

Physics
Vo = 1000/500 * 100 = 200 Volts. Po = Vo*Io = 200 * 4 = 800 Watts.

Physics
Ps = Pp = 120 * 0.1 = 12 Watts.

physics
See previous post: Mon, 4-10-17, 1:07 PM.

physics
Fb = M*g = 0.5 * 9.8 = 4.9 N. = Force of block. d = 4.9N/800N * 1m = 0.006125 m. = 0.6125 cm.

physics
Radios and TV sets often use step-up transformers to increase the 120-volt line voltage. Step-up and step-down transformers are also used for impedance matching for maximum power transfer. For example, a step-down transformer would be used to match a high resistance source to ...

physics
The output voltage of a step-up transformer is greater than the input voltage. The output voltage of a step-down transformer is less than the input voltage. In each case, the input voltage is connected across the primary winding, and the output voltage is measured across the ...

physics
Do/Dw = 0.75. Do/1 = 0.75, Do = 0.75g/cm^3 = Density of the object. M*g = 48 N. M = 48/g = 48/9.8 = 4.90 kg. = 4900g = Wt. of object. Vo = 4900g/(0.75g/cm^3) = 6533.3 cm^3 = Vol. of object. 0.75 * 6533.3 = 4900 cm^3 immersed = Vol. of water displaced. 4900cm^3 * 1g/cm^3 = ...

PHYSICS HELP
b. V^2 = Vo^2 + 2g*hmax. 29^2 = 0 + 19.6*hmax, hmax = 42.9 m. = Max. ht. above gnd. ho + h1 = hmax. 31 + h1 = 42.9, h1 = 11.9 m. above the cliff. a. V^2 = Vo^2 + 2g*h1. 0 = Vo^2 -19.6*11.9, Vo^2 = 233.2, Vo = 15.3 m/s = Velocity at which the rock was released.

physics
d = r = 31.7m = Vertical distance traveled. V^2 = Vo^2 + 2g*d. V^2 = 0 + 19.6*31.7 = 621.32, V = 24.9 m/s.

Physics
V1 = 15m/s[45o E of N.] = 45o N. of E. V2 = 18m/s[5o N. of E.]. Vr = 15m/s[45o] + 18m/s[5o]. Vr = 15*Cos45+15*sin45 + 18*Cos5+18*sin5. Vr = (10.61+10.61i) + (17.93+1.57i) = 28.54 + 12.18i. Magnitude = sqrt(28.54^2 + 12.18^2) = Tan A = Y/X = 12.18/28.54 = 0.42887. A =

Algebra

physics question
Fc = M*g = 100 * 9.8 = 980 N. a. Work/s = F*d/t = 980 * 16/20 = 784 J./s. = 784 Watts. b. Po = Work/s = 784 J/s. c. Efficiency = Po/Pi = 784Watts/1000Watts = 0.784 = 78.4%.

physics
a. V^2 = Vo^2 + 2a*d. 0 = 20^2 + 2a*100, a = -2 m/s^2. b. F = M*a = 1000*(-2) = -2,000 N. c. W = F*d = -2000 * 100 = -200,000 Joules.

physics
Idc = 2Ipk/pi. 0.6 = 2Ipk/3.14, 2Ipk = 1.88, Ipk = 0.94 mA.

physics
Idc = Imax/pi = (1.414*150)/3.14 = 67.5 uA.

physic
Imax = I1max - I2min. Imax = (79+0.03*100) - (31-0.1) = 82 - 30.9 = 51.1 mA. Imin = I1min - I2max. Imin = (79-0.03*100) - (31+0.1) = 76 - 31.1 = 44.9 mA.

Maths
F(x) = (4x+7) + (x^2-2x). F(x) = Y = x^2 + 2x + 7. X = -B/2A = -2/2 = -1. Y = (-1)^2 + 2(-1) + 7 = 6. Min. point: (x,y) = (-1,6).

Math
2nd side = X yds. 1st. side = x-5 yds. 3rd. side = (x-5)-2 = x-7 yds. X + (X-5) + (X-7) = 42. 3x - 12 = 42, X = 18 Yds. X-5 = 18-5 = 13 Yds. X- 7 = 18 - 7 = 11 Yds.

Math, slope
C = 5 + 0.75/0.5KM. C = 5 + 1.50/km Eq: C = 1.5x + 5. C = Cost. Slope = 1.5. X = Distance traveled. Y-Intercept = 5.

Calculus
Tan(A) = Y/X = -7/2 r^2 = X^2 + Y^2 = 2^2 + (-7)^2 = 53, r = sqrt(53). a. sin(A) = Y/r = (-7)/sqrt(53) = (-7)*sqrt(53)/53. b. Cos(A) = X/r = 2/sqrt(53) = 2*sqrt(53)/53. c. sec(A) = 1/Cos(A) = qrt(53)/2. d. csc(A) = sqrt(53)/(-7). e. cot(A) = 1/Tan(A) = 2//(-7). = - 2/7.

Calculus
V^2 = Vo^2 = 2a*d. 0 = Vo^2 - 32*200, Vo^2 = 6400, Vo = 80 Ft/s. Vo = 80FT/s * 1m1/5280Ft. * 3600s/h = 54.5 mi/h. = Initial velocity.

Physics 12
a. Fr = F1 + F2 = 360 + 360 = 720 N. b. Fr = 360[0o] + 360[60o]. Fr = 360 + (180+312i) = 540 + 312i = 624N.[30o]. c. Fr = 360[0o] + 360[120o]. Fr = 360 + (-180+312i) = 180 + 312i = 360N.[60o]. d. Fr = 360[0o] + 360[180o]. Fr = 360 + (-360+0l) = 0.

algebra
Incomplete.

physics
V^2 = Vo^2 + 2a*d. 1.12^2 = 0 + 2a*5.4, a = 0.116 m/s^2. M*g = 6.8*9.8 = 66.64 N. = Wt. of bats. = Normal force(Fn). Fk = u*Fn = 66.64u. Fe-Fk = M*a. 20-66.64u = 6.8*0.116 = 0.789, 66.64u = 20-0.789 = 19.2, u = 0.288.

math
u(8,-3), v(-3,-8). Tan A = (-8-(-3))/(-3-8) = -5/-11 = 0.45455, A = 24.4o. S. of W.

mechanics
M*a = -30. a = -30/M = -30/0.54 = -55.6 M/S^2. V = Vo + a*t = 15 - 55.6*0.25 = 1.11 m/s.

mechanics
V = Vo + a*t. 12 = 15 + a*0.25, a = -12 m/s^2. a. Fe = M*a = 1200*(-12). b. M1*V1 + M2*V2 = M1*V3 + M2*V4. 1200*15 + 800*10 = 1200*12 + 800V4, 18,000 + 8000 = 14,400 + 800V4, -14,400 + 26,000 = 800V4, 800V4 = 11,600, V4 = 14.5 m/s. = Velocity of the car.

Phyisics
Vs = Vo + 0.6m/s/Co. Vs = 340 + 0.6*127 = 416 m/s.

math
1. S = 5000. 2. S = 5000 + 1500 = 6500. 3. S = 6500 + 1500 = 8,000. 4. S = 8000 + 1500 = 9,500. S = 5000 + 5000*0.3*(n-1). Factor out 5000: Eq: S = 5000(1 + 0.3*(n-1)). 2. S = 5000(1+0.3*(2-1)) = 6500. 3. S = 5000(1+0.3*(3-1)) = 8000. 4. S = 5000(1+0.3*(4-1)) = 9500.

Physics
1-0.8 = 0.2 N. lost. M*g = 0.2, M = 0.2/9.8 = 0.0204 kg = 20.4 grams lost

Math Fractions
6cups * 8oz/cup = 48 oz. of sports drink concentrate. 48oz + 9*48oz. = 480 oz. 480oz./(128oz/gal) = 3.75 Gal.

Math
P = (Po*r*t)/(1-(1+r)^-t). Po = \$20,300. r = 0.0975/12 = 0.008125/mo. t = 4yrs. * 12mo./yr. = 48 mo. P = (20,300*0.008125*48)/(1-1.008125^-48). P = 7917/(1-1.008125^(-48)), P = 7917/0.32187535 = \$24,596.48. M.P. = P/48. = 24,596.48/48 = \$512.43.

Physics
A. V2^2 = V1^2 + 2g*h. V2^2 = 0 + 19.6*1.25 = 24.5, V2 = 4.95 m/s.

physics
Avg. Speed = (20+60+120)/3 = 66.67 km/h.

physical sciences
V2 = a*t = 4 * 40 = 160 m/s = Take-off speed. V2 = V1 + a*t. 160 = V1 + 4*40, V1 = 0.

Physics
Vr = 25 + 100i = 103m/s[76o].

Physics
output = 0.8 * Input =

Physics
V1 = 610rev/min * 6.28rad/rev * 1min/60s = 63.85 rad/s. V2 = V1 + a*t. = 63.85 + 5.9*3.2 = 82.73 m/s.

Math
kids ticket = \$X each. Adult tickets = \$2X each. 9x + 2*2x = 72. X = ?.

math
Width = X ft. Length = 2x+3 Ft. A = L*W = (2x+3)x = 65. 2x^2+3x = 65, 2x^2 + 3x - 65 = 0, Use Quadratic Formula: X = (-3 +- sqrt(9 + 520))/4 X = (-3 +- 23)/4 = 5, and -6.5. X = 5 Ft. = Width. Length = 2*5 + 3 = 13 Ft. P = 2L + 2W.

physics
F = M*g = 0.50 * 9.8 = 4.9 N. X = (1m/175N)*4.9N. + (1m/270N)*4.9N = 0.028 + 0.0181 = 0.0461 m.

Physicd
a. Fap = M*a. 10 = 2a, a = 5 m/s^2. b. V = Vo + a*t = 10 + 5*5 = 35 m/s.

MATH
d = 15mi/h*(40/60)h + 10mi/h*(20/60)h = 13.33 miles. - Total dist. traveled. r = 13.33mi/1h = 13.33 mi/h.

3 + 6*(5+4/2)-7 = 38.

physics
V^2 = Vo^2 + 2g*h. V = 0, Vo = 10 m/s, g = -9.8 m/s^2, h = ?.

Physics
M*g = 85*9.8 = 833 N. = Force of load. Effort = 833/0.85 =

eec115 electrical and electronic engineering science
C1 = 10uF, C2 = 5uF. C = C1*C2/(C1+C2) = (10*5)/(10+5) = 3.33 uF. a. Q1 = Q2 = C*V = 3.33 * 20 = 66.6 Micro Coulombs. b. V1 + V2 = 20 V2 = 10uF/5uF * V1 = 2V1, V1 + 2V1 = 20, V1 = 6.66 Volts.

Pre-calculus
Disp. = 4km[30o] + 10km[160o]. X = 4*Cos30 + 10*Cos160 = -5.93km. Y = 4*sin30 + 10*sin160 = 5.42km. Tan A = Y/X = 5.42/(-5.93) = -0.91403, A = -42.43o N. of W.137.6o CCW from + x-axis. Disp. = X/Cos A = (-5.93)/Cos137.6 = 8.03 km[137.6]

Physics - Voltage across a wire of unknown length
p = 1.68*10^-8 Ohm m = 1.68*10^-6 Ohm cm. R1 = pL/A = (1.68*10^-6)L/1cm^2 = (1.68*10^-6)L Ohm. R2 = (1.68*10^-6)L/2cm^2 = (0.84*10^-6)L Ohm. R3 = (0.56*10^-6)L Ohm. R4 = (0.42*10^-6)L Ohms. R = R1 + R2 + R3 + R4. R = (1.68L+0.84L+0.56L+0.42L)10^-6 = (3.5*10^-6)L Ohms. I = E/R...

Algebra
P = Po*e^(r*t). r*t = 0.05*6 = 0.3. P = 1200 * e^0.3 = \$1619.83.

P = (Po*r*t)/(1-(1+r)^-t). Po = 0.7*200,000 = 140,000. r = 0.115/12 = 0.009583/mo. = Monthly % rate. t = 30yrs. * 12mo./yr. = 360 mo. P = (140,000*0.009583*360)/(1-(1.009583)^-360) = 499,091.50. M.P. = P/360.

physics
Circumference = pi*D = 3.14 * 150 = 471.2 m. V = 471.2m/30min * 1min/60s = m/s.

Maths
P = Po + Po*r*t. P = \$24,200, r = 0.07, t = 3 yrs. Po = ?.

Physics 2
T1 = 20oC. T2 = 140oC. D = Do + Do*a*(T2-T1) Density = 19.3 + 19.3*14.3*10^-6/oC*(140-20)oC = 19.333 g/cm^3.

Physics
M*g = 10 * 9.8 = 98 N. = Wt. of mass. The system is in equilibrium: T1*Cos60 = -T2. T1 = -T2/Cos60 = -2T2. T1*sin60 = 98 N. T1 = 98/sin60 = 113.2 N. -2T2 = T1 = 113.2, T2 = -56.6 N. = Tension in horizontal string.

Math
State A: 23rep./13.5mil. = 1.70 reps/mil. State B: 16reps/12.4mil = 1.29 reps/mil. State B has the least number of reps per mil; therefore, the last rep should be assigned to state B.

Geometry
The diagonals bisect each other. Therefore, DO = 0C = 20/2 = 10 in. CD = AB = 13 in. P = DO + OC + CD = 10 + 10 + 13 = 33 in.

math-consumer arithmentic
APR = (1567/37,536)*100 = 4.17%.

math-consumer arithmentic
Po = \$25,000. t = 8yrs. * 12mo./yr. = 96 mo. P = 391/mo. * 96mo. = \$37,536. Int./yr. = (P-Po)/t = (37,536-25,000)/8yrs. = \$1567. APR

Math
a. D.P. = 0.05 * 20,800 = \$1,040. b. Po = 20,800 - 1040 = \$19,760 = Amt. borrowed. c. P = Po*r*t/(1-(1+r)^-t). r = 0.0325/12 = 0.0027/mo. t = 4yrs. * 12mo./yr. = 48 mo. P = (19,760*0.0027*48)/(1-1.0027^-48) = \$21,034.03. 21,034.03/48mo. = \$438.21/mo. d. \$21,034.03 + 1040 = \$...

Math
a. 0.05 * 17,900 = Down payment(D.P.). b. Amt. = 17,900 - D.P. =

math
L = 15 * 5cm =75 cm. Breath = 15 * 3cm = 45 cm.

Trig
AB = sqrt((2-0)^2+(7-2)^2 = 5.39. BC = sqrt((0-2)^2+(10-7)^2 = 3.61. AC = sqrt(10-2)^2 = 8. P = 5.39 + 3.61 + 8 = 17. A^2 = (P*AB*BC*AC)/16. a^2 = (17*5.39*3.61*8)/16 = 165.4. A = sqrt(165.4) = 12.86.

Trig
(AB)^2 = (2-0)^2 + (7-2)^2 = 29, AB = 5.39. (BC)^2 = (6-2)^2 + (10-7)^2 = 25, BC = 5. (CD)^2 = (9-6)^2 + -2-6)^2 = 73, CD = 8.54. (AD)^2 = ((9-0)^2 + (-2-2)^2 = AD = P = AB + BC + CD + AD = A^2 = (P*AB*BC*CD*AD)/16 = A =

Maths
100-23-9-20 = 48% That voted for A and B in ratio of 1:2. A/B = 1/2. B = 2A. A + B = 48%. A + 2A = 48, A = 16%, B = 2A = 32%. A = 23 + 16 = 39% Total. B = 9 + 32 = 41% Total.

angular accleration
t = 50rev. * 1s/10rev = 5 s. acc. = (V2-V1)/t = (10-0)/5 = 2 rev/s^2. 2rev/s^2 * 6.28rad/rev = 12.56 rad/s^2.

Physics
a. a = 0. b. Fp-Fk = M*a. a = (Fp-Fk)/M =

Physics
M*g = 2.5 * 9.8 = 24.5 N. = Wt. of block. Fp = 24.5*sin53 = 19.6 N. = Force parallel to the incline. Fn = 24.5*Cos53 = 14.7 N. = Normal force. Fs = us*Fn = 0.5 * 14.7 = 7.37 N. Fk = uk*Fn = 0.25 * 14.7 = 3.69 N.

Math1
S = 285 + 285*0.75(1994-1985). S= 285 + 1924 = 2209 Subscribers.

Math
t = 9:00 - 6:50 = 2 h, and 10 min. = 2 1/6 h. = 13/6 h. t1 + t2 = 13/6. 3t1 + 30t2 = 20. Multiply Eq1 by -30 and add: -30t1 - 30t2 = -65. +3t1 + 30t2 = 20, Sum: -27t1 = -45, t1 = -45/-27 = 5/3 h = The girl's walking time. d = r*t = 3 * 5/3 = 5 Miles.

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