Elementary Algebra 17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: Lynn Marecek, MaryAnne Anthony-Smith
1 Foundations 2 Solving Linear Equations And Inequalities 3 Math Models 4 Graphs 5 Systems Of Linear Equations 6 Polynomials 7 Factoring 8 Rational Expressions And Equations 9 Roots And Radicals 10 Quadratic Equations Chapter3: Math Models
3.1 Use A Problem-solving Strategy 3.2 Solve Percent Applications 3.3 Solve Mixture Applications 3.4 Solve Geometry Applications: Triangles, Rectangles, And The Pythagorean Theorem 3.5 Solve Uniform Motion Applications 3.6 Solve Applications With Linear Inequalities Chapter Questions Section3.4: Solve Geometry Applications: Triangles, Rectangles, And The Pythagorean Theorem
Problem 3.67TI: The measures of two angles of a triangle are 31 and 128 degrees. Find the measure of the third... Problem 3.68TI: The measures of two angles of a triangle are 49 and 75 degrees. Find the measure of the third angle. Problem 3.69TI: The perimeter of a triangular garden is 48 feet. The lengths of two sides are 18 feet and 22 feet.... Problem 3.70TI: The lengths of two sides of a triangular window are seven feet and five feet. The perimeter is 18... Problem 3.71TI: The area of a triangular painting is 126 square inches. The base is 18 inches. What is the height? Problem 3.72TI: A triangular tent door has area 15 square feet. The height is five feet. What is the base? Problem 3.73TI: One angle of a right triangle measures 56°. What is the measure of the other small angle? Problem 3.74TI: One angle of a right triangle measures 45°. What is the measure of the other small angle? Problem 3.75TI: The measure of one angle of a right triangle is 50° more than the measure of the smallest angle.... Problem 3.76TI: The measure of one angle of a right triangle is 30° more than the measure of the smallest angle.... Problem 3.77TI: Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. Problem 3.78TI: Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. Problem 3.79TI: Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. Problem 3.80TI: Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. Problem 3.81TI: John puts the base of a 13-foot ladder five feet from the wall of his house as shown below. How far... Problem 3.82TI: Randy wants to attach a 17 foot string of lights to the top of the 15 foot mast of his sailboat, as... Problem 3.83TI: The length of a rectangle is 120 yards and the width is 50 yards. What is the perimeter? Problem 3.84TI: The length of a rectangle is 62 feet and the width is 48 feet. What is the perimeter? Problem 3.85TI: The area of a rectangle is 598 square feet. The length is 23 feet. What is the width? Problem 3.86TI: The width of a rectangle is 21 meters. The area is 609 square meters. What is the length? Problem 3.87TI: Find the length of a rectangle with: perimeter 80 and width 25. Problem 3.88TI: Find the length of a rectangle with: perimeter 30 and width 6. Problem 3.89TI: The width of a rectangle is seven meters less than the length. The perimeter is 58 meters. Find the... Problem 3.90TI: The length of a rectangle is eight feet more than the width. The perimeter is 60 feet. Find the... Problem 3.91TI: The length of a rectangle is eight more than twice the width. The perimeter is 64. Find the length... Problem 3.92TI: The width of a rectangle is six less than twice the length. The perimeter is 18. Find the length and... Problem 3.93TI: The perimeter of a rectangular swimming pool is 200 feet. The length is 40 feet more than the width.... Problem 3.94TI: The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find... Problem 211E: In the following exercises, solve using triangle properties. 211. The measures of two angles of a... Problem 212E: In the following exercises, solve using triangle properties. 212. The measures of two angles of a... Problem 213E: In the following exercises, solve using triangle properties. 213. The measures of two angles of a... Problem 214E: In the following exercises, solve using triangle properties. 214. The measures of two angles of a... Problem 215E: In the following exercises, solve using triangle properties. 215. The perimeter of a triangular pool... Problem 216E: In the following exercises, solve using triangle properties. 216. A triangular courtyard has... Problem 217E: In the following exercises, solve using triangle properties. 217. If a triangle has sides 6 feet and... Problem 218E: In the following exercises, solve using triangle properties. 218. If a triangle has sides 14... Problem 219E: In the following exercises, solve using triangle properties. 219. A triangular flag has base one... Problem 220E: In the following exercises, solve using triangle properties. 220. A triangular window has base eight... Problem 221E: In the following exercises, solve using triangle properties. 221. What is the base of a triangle... Problem 222E: In the following exercises, solve using triangle properties. 222. What is the height of a triangle... Problem 223E: In the following exercises, solve using triangle properties. 223. One angle of a right triangle... Problem 224E: In the following exercises, solve using triangle properties. 224. One angle of a right triangle... Problem 225E: In the following exercises, solve using triangle properties. 225. One angle of a right triangle... Problem 226E: In the following exercises, solve using triangle properties. 226. One angle of a right triangle... Problem 227E: In the following exercises, solve using triangle properties. 227. The perimeter of a triangle is 39... Problem 228E: In the following exercises, solve using triangle properties. 228. The perimeter of a triangle is 35... Problem 229E: In the following exercises, solve using triangle properties. 229. One side of a triangle is twice... Problem 230E: In the following exercises, solve using triangle properties. 230. One side of a triangle is three... Problem 231E: In the following exercises, solve using triangle properties. 231. The two smaller angles of a right... Problem 232E: In the following exercises, solve using triangle properties. 232. The measure of the smallest angle... Problem 233E: In the following exercises, solve using triangle properties. 233. The angles in a triangle are such... Problem 234E: In the following exercises, solve using triangle properties. 234. The angles in a triangle are such... Problem 235E: In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse. 235. Problem 236E: In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse. 236. Problem 237E: In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse. 237. Problem 238E: In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse. 238. Problem 239E: In the following exercises, use the Pythagorean Theorem to find the length of the leg. Round to the... Problem 240E: In the following exercises, use the Pythagorean Theorem to find the length of the leg. Round to the... Problem 241E: In the following exercises, use the Pythagorean Theorem to find the length of the leg. Round to the... Problem 242E: In the following exercises, use the Pythagorean Theorem to find the length of the leg. Round to the... Problem 243E: In the following exercises, use the Pythagorean Theorem to find the length of the leg. Round to the... Problem 244E: In the following exercises, use the Pythagorean Theorem to find the length of the leg. Round to the... Problem 245E: In the following exercises, use the Pythagorean Theorem to find the length of the leg. Round to the... Problem 246E: In the following exercises, use the Pythagorean Theorem to find the length of the leg. Round to the... Problem 247E: In the following exercises, solve using the Pythagorean Theorem. Approximate to the nearest tenth,... Problem 248E: In the following exercises, solve using the Pythagorean Theorem. Approximate to the nearest tenth,... Problem 249E: In the following exercises, solve using the Pythagorean Theorem. Approximate to the nearest tenth,... Problem 250E: In the following exercises, solve using the Pythagorean Theorem. Approximate to the nearest tenth,... Problem 251E: In the following exercises, solve using rectangle properties. 251. The length of a rectangle is 85... Problem 252E: In the following exercises, solve using rectangle properties. 252. The length of a rectangle is 26... Problem 253E: In the following exercises, solve using rectangle properties. 253. A rectangular room is 15 feet... Problem 254E: In the following exercises, solve using rectangle properties. 254. A driveway is in the shape of a... Problem 255E: In the following exercises, solve using rectangle properties. 255. The area of a rectangle is 414... Problem 256E: In the following exercises, solve using rectangle properties. 256. The area of a rectangle is 782... Problem 257E: In the following exercises, solve using rectangle properties. 257. The width of a rectangular window... Problem 258E: In the following exercises, solve using rectangle properties. 258. The length of a rectangular... Problem 259E: In the following exercises, solve using rectangle properties. 259. Find the length of a rectangle... Problem 260E: In the following exercises, solve using rectangle properties. 260. Find the width of a rectangle... Problem 261E: In the following exercises, solve using rectangle properties. 261. Find the width of a rectangle... Problem 262E: In the following exercises, solve using rectangle properties. 262. Find the length of a rectangle... Problem 263E: In the following exercises, solve using rectangle properties. 263. The length of a rectangle is nine... Problem 264E: In the following exercises, solve using rectangle properties. 264. The width of a rectangle is eight... Problem 265E: In the following exercises, solve using rectangle properties. 265. The perimeter of a rectangle is... Problem 266E: In the following exercises, solve using rectangle properties. 266. The perimeter of a rectangle is... Problem 267E: In the following exercises, solve using rectangle properties. 267. The width of the rectangle is 0.7... Problem 268E: In the following exercises, solve using rectangle properties. 268. The length of the rectangle is... Problem 269E: In the following exercises, solve using rectangle properties. 269. The perimeter of a rectangle is... Problem 270E: In the following exercises, solve using rectangle properties. 270. The length of a rectangle is... Problem 271E: In the following exercises, solve using rectangle properties. 271. The length of a rectangle is... Problem 272E: In the following exercises, solve using rectangle properties. 272. The length of a rectangle is five... Problem 273E: In the following exercises, solve using rectangle properties. 273. The perimeter of a rectangular... Problem 274E: In the following exercises, solve using rectangle properties. 274. The perimeter of a rectangular... Problem 275E: In the following exercises, solve using rectangle properties. 275. A rectangular parking lot has... Problem 276E: In the following exercises, solve using rectangle properties. 276. A rectangular rug has perimeter... Problem 277E: Christa wants to put a fence around her triangular flowerbed. The sides of the flowerbed are six... Problem 278E: Jose just removed the children’s playset from his back yard to make room for a rectangular garden.... Problem 279E: If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the... Problem 280E: If you need to put a fence around your backyard, do you need to know the perimeter or the area of... Problem 281E: Look at the two figures below. (a) Which figure looks like it has the larger area? (b) Which looks... Problem 282E: Write a geometry word problem that relates toyour life experience, then solve it and explain all... Problem 3.80TI: Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
Related questions
Refer to right triangle ABC in which C = 90°. Solve each triangle.
B=22 0 , b = 320
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
Expert Solution
B = 22 ° , C = 90 ° & b = 320
The triangle is,
Now since the sum of all the angles of triangle is 180 °
∠ A + ∠ B + ∠ C = 180 ° ⇒ ∠ A + 22 ° + 90 ° = 180 ° ⇒ ∠ A = 68 °
Now,
sin 22 ° = 320 A B ⇒ A B = 320 sin 22 ° ⇒ A B = 854 . 229492
&
tan 22 ° = 320 B C ⇒ B C = 320 tan 22 ° ⇒ B C = 792 . 027793
Step by step
Solved in 2 steps with 1 images
UNLOCK THE REST
