Find the area of each triangle to the nearest tenth.

Answers

Answer 1

Answer:

The area is 52.6 square inches.

Step-by-step explanation:

If you don't know base or height but you have info on a triangle, such as two sides and the angle in between, and a little bit of trig, you can find the area.

There's an SAS Trig Triangle area formula:

A = 1/2×side×side×sin

this works for two sides and the angle in between, which is exactly the info you have in your question.

A = 1/2(14)(8)sin70°

A = 56sin70°

A = 52.6 sq inches

Related Questions

. devise a recursive algorithm for computing n2 where n is a nonnegative integer, using the fact that (n 1)2 = n2 2n 1. then prove that this algorithm is correct

Answers

Recursive algorithm for computing n²: 1. If n equals 0, return 0 (base case), 2. Otherwise, recursively compute (n-1)², 3. Compute n² by using the formula: n² = (n-1)² + 2n - 1.

What is recursive algorithm?

A recursive algorithm is a problem-solving approach where a function calls itself to solve smaller instances of the same problem until a base case is reached.

To prove the correctness of the recursive algorithm for computing n², we will use mathematical induction.

Base case: For n = 0, the algorithm returns 0, which is correct since 0² equals 0.

Inductive step: Assume that the algorithm correctly computes n² for a given nonnegative integer k, i.e., n² = k². Now, we will show that it also computes (k+1)² correctly.

According to the algorithm, (k+1)² is computed by first calculating k² using the recursive step, and then applying the formula n² = (n-1)² + 2n - 1.

Using the assumption, we have k² = (k-1)² + 2k - 1.

Expanding (k-1)², we get k² - 2k + 1 + 2k - 1 = k².

Therefore, (k+1)² = k² + 2(k+1) - 1, which simplifies to (k+1)² = k² + 2k + 1.

This matches the definition of (k+1)², so the algorithm correctly computes (k+1)².

By induction, we have proven that the algorithm correctly computes n² for any nonnegative integer n.

learn more about recursive algorithm here:

https://brainly.com/question/12115774

#SPJ4

Other Questions

10 most important things that happened in the outsiders in order What was the main reason Congress impeached Andrew Johnson?a tax evasionb sexual misconductc corruptiond violation of the Tenure of Office Acte illegal trafficking in slavery The sum of the first n whole numbers is given by theexpression (n+ n). Expand theequation by multiplying, then find the sum of the first 12 whole numbers. Triangle D has been dilated to create triangle D. Use the image to answer the question. image of a triangle labeled D with side lengths of 6, 8, 10 and a second triangle labeled D prime with side lengths of 24, 32, 40 Determine the scale factor used. one fourth 4 3 one third Which of the following is most commonly associated with invasion of the portal vein?a. hepatocellular carcinomab. cavernous hemangiomac. liver metastasisd. hepatic adenomae. focal nodular hyperplasia 47 where is the hv battery pack usually located in hybrid vehicles?where is the hv battery pack usually located in hybrid vehicles? It can be common for a top-level manager to watch a single focus group and get excited about something a customer says and prepare a marketing plan around it. Why do you know this is premature? If you are the subordinate, how would you handle your boss? workbilt hardware company employs workers, including gina, at six locations in two states. workbilts discharge of gina outside the terms of an employment contract may result in Identify What two categories account for more than half of the federal budget and make it difficult for the government to change spending levels significantly? The ability to exercise significant influence over the operating and financial policies of an investee company is the sole criterion for application of the _____ method. a(n) _____ response occurs before the aversive stimulus is presented and thereby prevents its delivery. group of answer choices escape avoidance reflexive primary True/False:the first epistles paul wrote to churches were 1 thessalonians and 2 thessalonians. the occupy wall street movement was able to gain support and contribute to a shift in public discourse by focusing on inequality with the motto, "we are the 99 percent." this is an example of . devise a recursive algorithm for computing n2 where n is a nonnegative integer, using the fact that (n 1)2 = n2 2n 1. then prove that this algorithm is correct an engineer is designing a marble fountain for the lobby of a museum. before the engineer can finalize the design, she must choose a type of marble to use for the fountain. the marble samples that are available for viewing are rectangular prisms. the width, length, and height of each sample is 4 inches, 6 inches, and 1 inch, respectively. the mass of each sample is 1066.32 grams. a veterinarian charges $25.00 for each vaccination administered. if the veterinarian administered four vaccines into a patient, how much should the veterinarian charge the patients owner? A person who is forced to enter into a contract under the threat of harm can assert the defense of ____________________.A. mistrustB. undue influenceC. coercionD. duressGenerally, a letter of acceptance is effective when it is sent by the offeree.TrueFalse Each plate of a parallel-plate air capacitor has an area of 0.0010 m2, and the separation of the plates is 0.050 mm. An electric field of 7.4 106 V/m is present between the plates. What is the capacitance of this capacitor? which brain structure is responsible for the "startle reflex" in response to loud sounds? Which of the following is not a control included as part of the systems development life cycle? Multiple Choice Ensuring that all software acquisition and program development efforts are consistent with the organization's needs and objectives Testing and validating new programs and developing proper implementation plans Ensuring that data are converted completely and accurately for use in the new systems Requiring that all programming efforts take place under the control of the requesting user department