Instantaneous Current, Voltage and Power

The instantaneous current and voltage in an electric circuit are given by i = Icos50 pi t v = Vcos(50 pi t + pi/6) Determine an expression for the instantaneous power in the circuit, p = iv, as the sum of two cosines. If I is 3 mA and V is 5 V, calculate the maximum value of p, giving your answer in watts correct to three si ...continues

Solution to the following trigonometry questions

a) looking for the distance VP b) diameter of the pipe c) formula for d in terms of VP d) formula for VP in terms of d ----------------------------------------- 1) tire durability 2) tan(x+450 degrees0 cannot be simplified using tangent sum formula. why? 3) difference between trig equation that is an identity and trig equ ...continues

Equalities

On the first part of a 317 mile trip, Leah averaged 58 miles per hour. She averaged only 52 mph on the last part of the trip because of an increased volume of traffic. The total time of the trip was 5 hours and 45 minutes. Find the amount of time that Leah spent driving each speed.

Equalities

A candy store sells boxes of candy containing caramels and cremes. Each box sells for $12.50 and holds 30 pieces of candy. If the caramels cost 25 cents to produce and cremes cost 45 cents to produce how many of each should be in a box to make a profit of $3?

Equalities

A motor home a leaves a rally and travels west going 80mph, Motorhome B leaves 2 hours before and travels westbound going 60mph. When will the two motorhomes pass each other?

Equalities

A person who is 6 foot tall walks away from a 40 foot tree towards the tip of the tree's shadow. At a distance of 10 feet from the tree the persons shadow begins to emerge beyond the tree's shadow. How much further must the person walk to completely be out of the tree's shadow?

Equality

In a basketball game scrimmage, the Toros scored a total of 103 points and made three times as many field goals (2 points each) as free throws (1 point each). They also made eleven 3 point baskets. How many field goals and free throws were made?

Car dealership

A car dealer, at a year-end clearance sale, reduces the list price of last year's models by 15%. If a certain model has a discounted price of $8000, what was the list price? How much can be saved by purchasing last year's model?

Linear Equations

The sum of two numbers is 40. their difference is 18. What are the two numbers?

Equalities

A person who is 6 feet tall walks away from a 40 foot tree towards the tip of the tree's shadow. At a distance of 10 feet from the tree, the persons shadow begins to emerge beyond the tree's shadow. How much further must the person walk to be completely out of the shadow?