Law of Cosines: a2 = b2 + c2 - 2bc*cos(A) a2 = (10.25)2 + (5.5)2 - 2(10.25)(5.5)cos(15.6o) = _______ Use you calculator to compute the value of a2. Once you have a2, take the square root to get a.

Help trig!!! (answer)

Law of Cosines: a2 = b2 + c2 - 2bc*cos(A) a2 = (10.25)2 + (5.5)2 - 2(10.25)(5.5)cos(15.6o) = _______ Use you calculator to compute the value of a2. Once you have a2, take the square root to get a.

Question below (answer)

The equation of a line is: y= mx + b where y is the volume of water in the tank at time x x is the time since the tap was opened and the tank started draining m is the slope of the line (rate at which the water is running...

P(t) = P0*(1+r)t P(t) = population of turtles at time t P0 = initial turtle population = 5000 r = rate = -2% = -0.02 t = years = 5 P(5) = 5000*(1 - 0.02)5 Can you finish it from here?

A stationary point is a point where the derivative of a function is zero. Hence it will be a local maximum or minimum. f(x) = x3 + mx2 + nx Take the first derivative wrt x and set it to zero: ...

As you know, Lussac's Law states that there is a direct relationship (variation) between gas pressure and temperature when the volume is held constant: P = k*T (when V=constant) Hence as the temperature rises, the pressure rises proportionally. When...

Calculating averages (answer)

Batting Average = (hits)/(at bats) = 204/540 = 0.378 or 378/1000

(2-i) - (-3+2i) = 2 - i -(-3) - (+2i) = 2 - i + 3 - 2i = 2 + 3 - i - 21 = 5 - 3i

In triangle ABC: angle A is 6 times the measure of angle C: A = 6C angle C is twice the measure of angle B: C = 2B A = 6C = 6*(2B) = 12B C = 2B In a triangle, the internal angles add up to 180o: ...

Hannah earns $64 daily and works a 5 day week. How much will she earn in a four week month? (answer)

Hannah earns $64 each day she works. In one work she works 5 days, so she earns: Mon Tue Wed Thu Fri = one week $64 + $64 + $64 + $64 + 64 = $64*5 = $320 per week Hannah earns $320...

what is cos x? (answer)

1 + tan2x = sec2x Now sec = 1/cos, so we can rewrite the above equation as: 1 + tan2x = 1/cos2 x 1 + (15/8)2 = 1/cos2x Solve for cos x

Michael saw a suit for $96. A few days later it was 1/4 off. How much does the suit cost now? (answer)

Sale Price = Full Price*(1 - discount) Sale Price = $96*(1 - 1/4) Sale Price = $96*(3/4) Can you finish it from here?

Let x = "one part". The "other part" is seven times bigger (7x) x + 7x = 64 Solve for x.

Just plug n=1, n=2, n=3, and n=4 into the equation and see what you get: n n(5n-5) = an ------------------------------------------ 1 1(5*1-6) = 1(5-6)=1*(-1) = -1 2 2(5*2-6)...

Pre Calculus (answer)

Vector u has a slope of (3-0)/(-1-0) = -3. Vector v has a slope of (1-0)/(3-0) = 1/3. Since the slopes are negative reciprocals of another, the vectors are perpendicular. So the answer is c) 90o To verify, take the dot product of u and v. If the dot product...

The volume (V) and surface Area (A) of a sphere are: V = (4/3)*pi*r3 A = 4*pi*r2 Their rates of change wrt time (t) are (use the chain rule): dV/dt = (dV/dr)*(dr/dt) = 4*pi*r2*dr/dt ...

Solve the triangle? (answer)

Use the Law of Cosines to find the length of side a: a2 = b2 + c2 - 2bc cos(A) where b = 4, c = 8, A = 46o Once you have the length of side a, use the Law of Sines to find angles B and...

Cosine Graph Question (answer)

h(t) = A cos(ωt+ø)+h0 h(t) = height at time t A = amplitude = (1/2)*(11 ft) = 5.5 ft ω = angular frequency = 2*pi*(15 revolutions per minute) = 30*pi radians per minute t = minutes ø = phase shift = 0o h0 = height of midline above water = 5.5 ft...

Let B(t) be the amount of bacteria at time (hour) t: B(t) = 10*2t/18 When t = 0, 2t/18 = 20/18 = 20 = 1, and B(t) = 10*1 = 10. which are the 10 bacteria we start with at time t = 0. When t = 18, 2t/18 = 218/18 = 21 = 2, and B(t) = 10*2 = 20, so the bacteria...

word problem (answer)

Let x = the number of boats in the marina: Three quarters of the boats in the marina are white: (3/4)x 4/7 of the remaining boats (1/4) are blue: (4/7)*(1/4) = (1/7)x The rest are red The white and blue boats accounts for (3/4)x + (1/7)x = (21/28)x + (4/28)x...

Population density is just the number of people per square kilometer. So divide the total number of people (60,000,000) by the total land area (300,000 km2).

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