In PQR, PQ = (x + 2) cm, PR = (5 x) cm and QPR =
Question:
In △PQR, PQ = (x + 2) cm, PR = (5 − x) cm and ∠QPR = 30°. The area of the triangle is A cm2.
a. Show that A = 1/4(10 + 3x − x2).
b. Use the method of completing the square, or otherwise, to find the maximum value of A, and give the corresponding value of x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
a To find the area of triangle PQR we can use the formula Area 12 base height In triangle PQR the ba...View the full answer
Answered By
Deepak Sharma
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
In Exercises 1 and 2, compute the area of the triangle with the given vertices using both methods. 1. A = (1, - 1), B = (2, 2), C = (4, 0) 2. A = (3, - 1, 4), B = (4, -2, 6), C = (5, 0, 2) Figure 1...
-
Find the area of this triangle using two different strategies. Describe your strategies.
-
Find the area of each triangle or rectangle 1. 2. 4.4 feet i -17 feet- 1.2 miles mile
-
The average distance between Earth and the Sun is 1.5 10 m. 1) Calculate the average speed of Earth in its orbit (assumed to be circular) in meters per second. 2) What is this speed in miles per hour?
-
Below are approximate amounts related to cash flow information reported by five companies in previous years? 1. Kraft Foods reports operating cash flows of $3.6 billion, investing cash flows of $0.6...
-
(a) Use Equation 35.8 to draw an energy-level diagram for the first six energy levels of a particle in a cubical box, in terms of h 2 /8mL 2 ,?(b) give the degeneracy of each. E 8ml? (m? + n} + a?)...
-
Canterbury Corporation has 20,000 shares of its $100 par value, 7 percent cumulative preferred stock outstanding, and 100,000 shares of its $1 par value common stock outstanding. In Canterburys first...
-
Ben owns an appliance and furniture store and is insured under a commercial general liability (CGL) policy written on an occurrence basis. Explain whether Ben's CGL policy would provide coverage for...
-
Wildhorse Dental Clinic is a medium - sized dental service specializing in family dental care. The clinic is currently preparing the budget for the first two quarters of 2 0 2 2 . It still needs to...
-
Burford Plastics manufactures plastic milk cartons. In the manufacturing process, all materials are added at the start of work-in-process and conversion costs are incurred uniformly through the...
-
Two radar stations A and B are 16 km apart and A is due north of B. A ship is known to be on a bearing of 150 from A and 10 km from B. Show that this information gives two positions for the ship, and...
-
Two triangles ABC are such that AB = 4.5 cm, BC = 6.8 cm and ACB = 30. Work out the value of the largest angle in each of the triangles.
-
Kevin Johnson is quoted on the Starbucks website as saying, We aspire to be a place of inclusion, diversity, equity and accessibility. Explain what you think this means. How are these four concepts...
-
Discuss the role of advanced sustainability assessment tools, such as Life Cycle Assessment (LCA) and Environmental Impact Assessment (EIA), in evaluating the environmental, social, and economic...
-
It is now Dec 2020 and XYZ Limited has just paid a dividend of 2.00. Dividends will increase by 3% for the next four years and then the growth rate will reduce to1.5%. The risk-free rate is 2%, the...
-
When working on a capital budgeting problem in Finance, when examining whether purchasing a new vessel is the best choice, do you factor in the selling of the old value? And if so, is this book value...
-
Can you think of a personal example of how you witnessed or went through an experience that would be considered a preferred dysfunctionality or dispreferred functionality? Describe how this event...
-
If f(x) = (x+4x+7), then f'(x) = 8(x+4x+7)(x+2) f'(1) = 3,932,160 Question Help: Video X L O
-
Recall from Chapter 2 that Kelly's Boutique sells books as well as women's shoes. Kelly's son Casey, a college accounting student who is home for the holidays, is eager to help his mom incorporate...
-
For the following exercises, rewrite the sum as a product of two functions or the product as a sum of two functions. Give your answer in terms of sines and cosines. Then evaluate the final answer...
-
Implement the test in Problem 9.49, and report a two-tailed p-value based on large sample methods? Cancer Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To...
-
What test can we use to compare the distribution of serum estradiol for Caucasian vs. African American women? Cancer Serum estradiol is an important risk factor for breast cancer in postmenopausal...
-
Implement the test in Problem 9.47, and report a two-tailed p-value?
-
Cost-Volume-Profit Analysis at General Electric Values: Item Amount Selling Price $100,000 Variable Cost $80,000 Fixed Costs $15,000,000 Requirements: Calculate the break-even point in units....
-
Analyze the cost-volume-profit relationship for Coca-Cola. The company sells its beverage product for $2 per unit. The variable cost per unit is $1.20, and the total fixed costs are $50,000....
-
"This is really an odd situation," said Jim Carter, general manager of Highland Publishing Company. " We get most of the jobs we bid on that require a lot of press time in the Printing Department,...
Study smarter with the SolutionInn App