In the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth.
154. Nautical flags are used to represent letters of the alphabet. The flag for the letter O consists of a yellow right triangle and a red right triangle which are sewn together along their hypotenuse to form a square. The adjoining side of the two
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- In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 467. Julius built a triangular display case for his coin collection. The height of the display case is six inches less than twice the width of the base. The area of the of the back of the case is 70 square inches. Find the height and width of the case.arrow_forwardIn the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. A ball is thrown vertically in the air with a velocity of 160 ft/sec. Use the formula h=16t2+v0t to determine when the ball will be 384 feet from the ground. Round to the nearest tenth.arrow_forwardIn the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 293. The front walk from the street to Pam’s house has an area of 250 square feet. Its length is two less than four times its width. Find the length and width of the sidewalk. Round to the nearest tenth.arrow_forward
- In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 474. Ezra kayaked up the river and then back in a total time of 6 hours. The trip was 4 miles each way and the current was difficult. If Roy kayaked at a speed of 5 mph, what was the speed of the current?arrow_forwardIn the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 295. A ball is thrown vertically in the air with a velocity of 160 ft/sec. Use the formula h=16t2+v0t to determine when the ball will be 384 feet from the ground. Round to the nearest tenth.arrow_forwardIn the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 473. The couple took a small airplane for a quick flight up to the wine country for a romantic dinner and then returned home. The plane flew a total of 5 hours and each way the trip was 360 miles. If the plane was flying at 150 mph, what was the speed of the wind that affected the plane?arrow_forward
- In the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 466. A triangular banner has an area of 351 square centimeters. The length of the base is two centimeters longer than four times the height. Find the height and length of the base .arrow_forwardIn the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 157. A firework rocket is shot upward at a rate of 640 ft/sec. Use the projectile formula h=16t2+v0t to determine when the height of the firework rocket will be 1200 feet.arrow_forwardIn the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 294. For Sophia’s graduation party, several tables of the same width will be arranged end to end to give a serving table with a total area of 75 square feet. The total length of the tables will be two more than three times the width. Find the length and width of the serving table so Sophia can purchase the correct size tablecloth. Round answer to the nearest tenth.arrow_forward
- In the following exercises, solve by using methods of factoring, the square root principle, or the quadratic formula. 296. A bullet is fired straight up from the ground at a velocity of 320 ft/sec. Use the formula h=16t2+v0t to determine when the bullet will reach 800 feet. Round to the nearest tenth.arrow_forwardIn the following exercises, solve by using the method of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth, if needed. 468. A tile mosaic in the shape of a right triangle is used as the corner of a rectangular pathway. The hypotenuse of the mosaic is 5 feet. One side of the mosaic is twice as long as the other side. What are the lengths of the sides? Round to the nearest tenth.arrow_forwardIn the following exercises, solve by using methods of factoring, the square root principle, or the Quadratic Formula. Round your answers to the nearest tenth. 152. The hypotenuse of a right triangle is 10 cm long. One of the triangle’s legs is three times the length of the other leg. Round to the nearest tenth. Find the lengths of the three sides of the triangle.arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University