One side of a triangle is increasing at a rate of 3 cm/s and a second side
Question:
One side of a triangle is increasing at a rate of 3 cm/s and a second side is decreasing at a rate of 2 cm/s. If the area of the triangle remains constant, at what rate does the angle between the sides change when the first side is 20 cm long, the second side is 30 cm, and the angle is π/6?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 73% (15 reviews)
Let x be the length of the first side of the triangle and y the l...View the full answer
Answered By
Fahmin Arakkal
Tutoring and Contributing expert question and answers to teachers and students.
Primarily oversees the Heat and Mass Transfer contents presented on websites and blogs.
Responsible for Creating, Editing, Updating all contents related Chemical Engineering in
latex language
4.40+
8+ Reviews
22+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The length x of a side of a triangle is increasing at a rate of 3 in/s, the length y of another side is decreasing at a rate of 2 in/s, and the contained angle is increasing at a rate of 0.05...
-
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min, at what rate is the base of the triangle changing when the altitude...
-
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude...
-
Three partners. Ankamah, Kofi and David share profit and losses in the ratio 5: 3:2 for the year ending 31/12/2016. The profit generated from either business is $600,000. Partners' contributions are...
-
At December 31, 2017, the trading securities for Gwynn, Inc. are as follows. Instructions (a) Prepare the adjusting entry at December 31, 2017, to report the securities at fair value. (b) Show the...
-
Starting from the expression of the total energy carried by the lattice vibrations in Eq. (6.60), show that the heat capacity C v = (dE/dT) v can be written as: T C, = 9Nk, Op (et 1)2
-
Which Theories of Motivation Are Important to Know? (pp. 7172)
-
In 2008, Interbrand listed Starbucks as having the 85th most valuable brand name in the world and estimated brand value to be $3.9 billion. Examine the disclosures for intangible long-lived assets in...
-
Rasheed aged 48 years is an accountant and employed by GLF Itd. He gets Rs. 100000 per month as salary and Rs. 100000 per annum as bonus. Besides, GLF Itd provides the following. 1. Transport...
-
Bong, Harry and Mallu formed a partnership to carry on the business of an ethnic store in Bangkok. They are to receive equal shares of the profits and can make drawings during a year, not exceeding...
-
A manufacturer has modeled its yearly production function P (the value of its entire production, in millions of dollars) as a Cobb-Douglas function P(L, K) = 1.47L0.65K0.35 where L is the number of...
-
A sound with frequency f s is produced by a source traveling along a line with speed v s . If an observer is traveling with speed v o along the same line from the opposite direction toward the...
-
State how the pressure of a gas at constant moles and volume depends on its temperature both with a mathematical relationship and an English statement. Also, make a graph that demonstrates the...
-
You are required to work with your groups for the restaurant business that you have created and develop your international market entry strategy. Please follow the below steps: STEP 1: Research the...
-
Demonstrate to the owner of the business how they could use e-commerce for example (Shopify, E-Bay, Etsy), social media for example (Facebook, Instagram, TikTok, Webpage) to market their business to...
-
Identify a company that has successfully created a brand image for their product or service by using social media. Explain how they did it . Which forms of media did they use?
-
The Magic that Makes Customer Experiences Stick Article Identify and explain in details Roger's Five Factors as it applies to the diffusion process.
-
Topic: Buick in China Task: After reading and viewing the items in this week's Reading & Study folder, identify and describe the following: the social and cultural aspects that made China attractive...
-
99% confidence; n = 8, x = 1.24 sec, s = 0.12 sec Use the given confidence level and sample data to find a confidence interval for the population standard deviation . In each case, assume that a...
-
The trade-off theory relies on the threat of financial distress. But why should a public corporation ever have to land in financial distress? According to the theory, the firm should operate at the...
-
Write the Maclaurin series and the interval of convergence for each of the following functions. (a) 1/ (1 - x) (b) ex (c) sin x (d) cos x (e) tan-1x (f) 1n(1 + x)
-
State the following. (a) The Test for Divergence? (b) The Integral Test? (c) The Comparison Test? (d) The Limit Comparison Test? (e) The Alternating Series Test? (f) The Ratio Test? (g) The Root Test?
-
Determine whether the sequence is convergent or divergent. If it is convergent, find its limit. a. b. c. 2 1+27 127 a, = 1 n n sin n an =
-
As a Financial Analyst in the Finance Department of Zeta Auto Corporation they are seeking to expand production. The CFO asks you to help decide whether the firm should set up a new plant to...
-
Chapter 4 When an Auditor finds misstatements in entities financial statements which may be the result of fraudulent act, what should be the role of an auditor under that situation? (2 Points)
-
Suppose the following input prices are provided for each year: Required: $
Study smarter with the SolutionInn App