The area of a quadrilateral with diagonals d 1 and d 2 is A = 1/2d 1
Question:
The area of a quadrilateral with diagonals d1 and d2 is A = 1/2d1d2sinθ, where d1 and d2 are the diagonals and θ is the angle between them. Find the area of an approximately four-sided grass fire with diagonals of 320 ft and 440 ft and θ = 72°.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
We can simply use the following formula to determine the quadrilaterals area A 12d1d2sin Substituting the values given in the problem we get A 12320 ft440 ftsin72 Using a calculator we can evaluate the sine of 72 to be approximately 0951 A 12320 ft440 ft0951 A 705456 sq ft Therefore the area of the quadrilateral ...View the full answer
Answered By
Kenneth Mutia
I have a B.S. in Statistics from the Jomo Kenyatta University of Agriculture and technology. I have been an academic tutor for over 3 years. I have a passion for helping students reach their full potential and am dedicated to helping them succeed. I am patient and adaptable, and I have experience working with students of all ages and abilities, from elementary school to college in their various fields. I have a wide scope of diverse tutoring experience in several courses of study with significant success as a tutor.
0.00
0 Reviews
10+ Question Solved
Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
Question Posted:
Students also viewed these Mathematics questions
-
1 The area of a sector in a circle is given by the formula: A = r0, where r is the radius and is the central angle measured in radians. Find the rate of change of 2 A with respect to if r remains...
-
Prove that the area of a quadrilateral ABCD is one-half of the product of the lengths of its diagonals and the sine of the angle between the diagonals. b Pi D
-
The loss, in millions of dollars, due to a fire in a commercial building is a variable with density curve y = 1 x/2 for 0 < x < 2, and y = 0 otherwise. Using the fact that the area of a triangle...
-
1- What signal is produced if the sampling frequency is equal to Fm? 2- Find the range of the cutoff frequency funt for LPF required to reconstruct the original signal from the sampled one. 3- If the...
-
Data were collected that included information on the weight of the trash (in pounds) on the street one week and the number of people who live in the house. The figure shows a scatterplot with the...
-
The crossbar wrench is used to remove a lug nut from the automobile wheel. The mechanic applies a couple to the wrench such that his hands are a constant distance apart. Is it necessary that a = b in...
-
Suppose Emory rejects the lease we analyzed, and the lessor agrees to lower the lease rate to $11,700 per year. Does this change make the lease attractive?
-
Use the following information to prepare the September cash budget for PTO Manufacturing Co. The following information relates to expected cash receipts and cash disbursements for the month ended...
-
15.A ray of light is incident on a slab as shown in figure. The refractive index of medium of slab changes as =1+ y. The angle made by ray with x-axis at y = 2 is 30 0 air 2
-
In Fig. 4.73, find a formula for h in terms of d, , and . Fig. 4.73 B h
-
For the isosceles triangle shown in Fig. 4.71, show that c = 2asinA/2. a A C Fig. 4.71 a
-
An electric vehicle starts from rest and accelerates at a rate of 2.0m/s 2 in a straight line until it reaches a speed of 20m/s.The vehicle then slows at a constant rate of 1.0 m/s 2 until it stops....
-
In 2018, Chris sold a painting to Bernie for \(\$ 40,000\). Chris received \(\$ 10,000\) in 2018 and will receive \(\$ 30,000\) in 2019 . Chris's bought the painting in 2014 for \(\$ 15,000\). Bernie...
-
Explain the importance and contribution of evaluation to strategic human resource management;
-
Describe key lean improvement tools.
-
Drawing on the dimensions of organisational structure outlined above, use the list of potential organisational consequences from structural deficiencies to evaluate the structure of an organisation...
-
Identify and briefly discuss the four building blocks of a lean production system.
-
Many couples want to have both a boy and a girl. If they decide to continue to have children until they have one child of each sex, what would the average family size be? Assume that boys and girls...
-
Identify the tax issues or problems suggested by the following situations. State each issue as a question. Jennifer did not file a tax return for 2007 because she honestly believed that no tax was...
-
The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.3 hours. If 1 gram of this isotope is present initially, how long will...
-
Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 3%.If the rate of decay is proportional to the amount of the substance present at time t, find...
-
Determine the half-life of the radioactive substance described in Problem 6. Data from problem 6 Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased...
-
fo (d) Credit Prepare the journal entry to record the redemption of bonds at maturity, assuming interest for the last interest period has been paid and recorded. (Credit account titles are...
-
Pink Ribbon Shoppe, a clothing retailer, had the following total costs as grouped by value chain element: Research and development Design Purchases Marketing $53,700 $17,900 $72,000 $42,400 $58,000...
-
Acme, Inc. instructed its bank, AJM Bank, to pay $500,000 to TreeTop, Inc. TreeTop, Inc. was a customer of First State Bank. AJM Bank did not have a correspondence relationship with First State Bank....
Study smarter with the SolutionInn App