In ABC, AB = x cm, AC = (5 + x) cm and BAC = 150. Given
Question:
In △ABC, AB = x cm, AC = (5 + x) cm and ∠BAC = 150°. Given that the area of the triangle is 3(3/4)cm2
a. Show that x satisfies the equation x2 + 5x − 15 = 0.
b. Calculate the value of x, giving your answer to 3 significant figures.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
To solve this problem well use the formula for the area of a triangle Area 12 base height where the base is AB and the height is the perpendicular dis...View the full answer
Answered By
Akshaydeep Sonowal
I have ever been good in mathematics and its related subjects like sciences since high-school where I performed really well that till now I decided to pursue Economics because business has also been my thing all along ,I like teaching my juniours and also discussing with my colleagues has been my thing .I will always be available for any assistance needed in tutoring because its my passion working
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
-
The area of a triangle ABC can be calculated by: A= 1/2 AB x AC where AB is the vector from point A to point B and AC is the vector from point A to point C. Write a user-defined MATLAB function that...
-
In triangle ABC, BC = (x + 2) cm, AC = x cm and BCA = 150. Given that the area of the triangle is 5 cm 2 , work out the value of x, giving your answer to 3 significant figures. B (x + 2) cm 150 C x...
-
The diagram shows triangle ABC, with AB = 5 cm, BC = (2x 3) cm, CA = (x + 1) cm and ABC = 60. a. Show that x satisfies the equation x 2 8x + 16 = 0. b. Find the value of x. c. Calculate the area of...
-
In the figure below, a square of edge lengths is formed by four spheres of masses, m, M, m3, and m4. What is the x component and the y component of the net gravitational force from them on a central...
-
Wolfpack Construction has the following account balances at the end of the year. Accounts Balances Equipment ............ $18,200 Accounts payable .......... 4,200 Salaries expense ......... 17,000...
-
a. What is the cost per camera (ignoring taxes) for Edwards Electronics and for Sears? b. For each store, what is the minimum selling price required to cover cost, over-head, and desired profits? c....
-
CII, Inc., invests $630,000 in a project expected to earn a 12% annual rate of return. The earnings will be reinvested in the project each year until the entire investment is liquidated 10 years...
-
Grant Computer Services, Inc., has been in business for six months. The following are basic operating data for that period Required a. What is the average service revenue per hour in each month and...
-
quick response ill give thumbs up! thanks :) The following is taken from Ronda Co's internal records of its factory with two production departments. The cost driver for Indirect labor and supplies is...
-
In your opinion, could U.S. complaints about China's policies toward its auto exports actually harm U.S. producers more than they help? Should the U.S. dismiss its complaint with the WTO?
-
In the diagram AD = DB = 5 cm, ABC = 43 and ACB = 72. Calculate: a. AB b. CD 72 A 5 cm D 5cm 43 B
-
A helicopter flies on a bearing of 080 from A to B, where AB = 50 km. It then flies for 60 km to a point C. Given that C is 80 km from A, calculate the bearing of C from A.
-
How can Dunkin leverage its success with its partnership with Charli DAmelio to ensure that the younger demographic continues to regularly engage with the Dunkin brand?
-
! Required information [The following information applies to the questions displayed below.] Littleton Books has the following transactions during May. May 2 Purchases books on account from Readers...
-
4) Consider the table to the right that shows the number of free samples () and number of protein shakes sold (y). a)Complete the table [3 marks] b) Find the equation of the line of best fit X x y 8...
-
Determine the mean number of credit cards based on the raw data. (b) Determine the standard deviation number of credit cards based on the raw data. (c) Determine a probability distribution for the...
-
B Harry is a county Department of Social Services worker whose clients consist primarily of poor, female-headed families receiving public assistance. During one of his meetings with Dora, a single...
-
1 A, Weakly coupled carts (20 points) m m2 Figure 1: A system of two masses and three springs. A symmetric two degree of freedom system consists of two identical rigid masses m = m = m pictured in...
-
The stockholders' equity for Coeur d'Alene Marina, Inc., on December 31, 2015, follows: On May 31, 2016, the market price of Coeur d'Alene Marina, Inc.'s common stock was $17 per share and the...
-
Does log 81 (2401) = log 3 (7)? Verify the claim algebraically.
-
Obtain a 95% CI for the mean difference in diet record vitamin C intake between the two groups? Nutrition The EPIC-Norfolk study, a study of diet and cancer in Great Britain, was performed to assess...
-
Implement the procedure in Problem 9.2, and report a p-value? Suppose patients are graded on the degree of change in periodontal status on a 7-point scale, with +3 indicating the greatest...
-
Suppose there are two samples of size 6 and 7, with a rank sum of 58 in the sample of size 6. Using the Wilcoxon rank-sum test, evaluate the significance of the results, assuming there are no ties?...
-
Cash from Operating Activities: ______________ Cash from Investing Activities: ______________ Cash from Financing Activities: ______________ Problem 2: Financial Ratios The GAP Macys 1 Current Ratio...
-
On January 1, 2021, Winky Enterprises issued 12% bonds dated January 1, 2021, with a face amount of $2,800,000. The bonds mature in 2030 (10 years). For bonds of similar risk and maturity, the market...
-
Using the following accounts and balances, prepare the stockholders' equity vection of the balance sheet. Pilty thousand shares of common stock are authorised, and 1,000 shares have been recoured,...
Study smarter with the SolutionInn App