Crossing a River A captain needs to pilot a boat across ariver that is 2 km wide. The current in the river is 2 km/h andthe speed of the boat in still water is 10 km/h. The desiredlanding point on the other side is 1 km upstream.(a) Determine the direction in which the captain shouldaim the boat.(b) How long will the trip take?

Q: Write the equation of the line passing through the point (9,-7) and perpendicular to the line = 10.…

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Q: u = (2, 11), v = (-5, 2) (a) u. v (b) u.u (c) ||v||2 (d) (u - v)v (e) u (3v)

A: Given that u=(2,11) and v=(-5,2) Find  a)u.v b)u.u c)||v||2 d)(u.v)v e)u.(3v)

Q: 3 Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week.…

A: Given query is to compare the the rate of money save by Kavin and Christy

Q: (5х - 24)° 8х + 9)°.

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Q: Perform the calculations given that u = (3,5) and v = (2,3). Find 8u + 4v. 8u + 4v = ( (Simplify…

A: Recall: Let u→=<u1,u2> and v→=<v1,v2> be two vectors ,then             u→+v→=…

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship…

A: Given that, the distance between the two ships at 12 Pm (noon) is 20 nautical, the sailing rate of…

Q: A plane leaves an airport and flies for 100 miles in the direction N 70?W. It then flies in a…

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Q: Solve for the measure of the missing angle. (3x + 12)° 90⁰ 70° (4x-10) (3x-2)° Missing Angle

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Q: √10-√3 O√O+

A: The given expression is

Q: Tell whether I and y show direct variation. Explain your reasoning. y- I 0 O yes; The equation can…

A: Given equation is y - x =0 It can be written as y=x

Q: Directions: Is 2²(2®) equivalent to 2°? Explain and show your work. Yes/No Because..

A: Exponent problem

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.