Arectangle with width of 5. there is a vertical line that splits rectangle into two sections with different lengths. one length is x the other is 3. 5(x + 3) represents the area of the rectangle above. which expression below is equivalent by the distributive property? 5x + 3 (5 + x) + 3 5x + 15 (x + 3) ⋅ 5

1. a driveway has a 15° grade. if the driveway is 40 meters long, how much does the driveway rise? (nearest tenth of a meter) 2. a person located 4 miles from a rocket launch site sees a rocket at an angle of elevation of 32°. at that moment, how high is the rocket above the ground? (nearest tenth of a mile) 3.an airplane approaches an airport landing strip with an angle of depression of 12°. if the airplane is flying at an altitude of 20,000 feet, find the distance on the ground that the plane will need to land. (nearest 1,000 feet) 4.two buildings are located on opposite sides of the street, 40 meters apart. the angle of elevation from the top of the shorter building to the top of the taller building is 53°. if the taller building is 300 meters tall, what is the height of the shorter building? (nearest meter) 5.george is 187 cm tall. his son, ralph, is 142 cm tall. who casts the longer shadow. george when the sun is 65° above the horizon, or ralph when the sun is 56° above the horizon? how much longer? (nearest centimeter)

David estimated he had about 20 fish in his pond. a year later, there were about 1.5 times as many fish. the year after that, the number of fish increased by a factor of 1.5 again. the number of fish is modeled by f(x)=20(1.5)^x. create a question you could ask that could be answered only by graphing or using a logarithm.

The weight of 46 new patients of a clinic from the year 2018 are recorded and listed below. construct a frequency distribution, using 7 classes. then, draw a histogram, a frequency polygon, and an ogive for the data, using the relative information from the frequency table for each of the graphs. describe the shape of the histogram. data set: 130 192 145 97 100 122 210 132 107 95 210 128 193 208 118 196 130 178 187 240 90 126 98 194 115 212 110 225 187 133 220 218 110 104 201 120 183 124 261 270 108 160 203 210 191 180 1) complete the frequency distribution table below (add as many rows as needed): - class limits - class boundaries - midpoint - frequency - cumulative frequency 2) histogram 3) frequency polygon 4) ogive