16. 25 ft 17. 15 cm 18. 200 m 21 cm 25 ft 120 m E40 m 60 m 25 ft 20 cm Select Techniques to Solve Problems (1)(C) Select a technique (such as mental math, estimation, or number sense) to find the area of the composite figure. Then ind the area. 19. 4 yd 20. 6 m 10 yd 6 yd 7 m 5 m 20 vd
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- a. How accurately should you measure the edge of a cube to bereasonably sure of calculating the cube’s surface area withan error of no more than 2%?b. Suppose that the edge is measured with the accuracyrequired in part (a). About how accurately can the cube’svolume be calculated from the edge measurement? To findout, estimate the percentage error in the volume calculationthat might result from using the edge measurement1.What is the scale factor that was used to reduce the dimensions of the left figure compared to the right? 2.What would be the effect of this scale factor in the surface areas of the two figures?Suppose the presence of phosphates in certain waste products dumped into a lake promotes the growth of algae. Rampant growth of algae affects the oxygen supply in the water, so an environmental group wishes to estimate the area of algae growth. The group measures the length across the algae growth (see the figure) and obtains the data (in feet) in the table. x Length x Length 0 0 50 36 10 24 60 33 20 27 70 32 30 27 80 0 40 39 Use 8 rectangles with bases of 10 feet and lengths measured at the left-hand endpoints to approximate the area of the algae growth. _______ sq ft
- a. Suppose we had a triangular prism that was 14 cm long with atriangular base of 1 cm and a height of 0.8 cm. Whatwould the volume of that prism be, and do youbelieve that it actually is a better estimate? b. Suppose that we had a marker that was twice as thick and twice as tall, but the same length. Approximately how many of the cubes would we need to make a good estimate of its volume? Explain/show how you know this.Find the z-score which separates an area of 0.9000 on the right, from the remaining area on the left. Question 4 options: z = -1.29 z = -1.34 z = -1.28 z = 1.28Do the following problems on paper. Scan or photograph your work and submit. If one trombone produces a sound pressure level of 55 dB at a distance of 5 m, how much sound pressure level would be expected from 76 trombones? 31.5 Hz 63 Hz 125 Hz 250 Hz 500 Hz 1 kHz 2 kHz 4 kHz 8 kHz 78 dB 67 dB 65 dB 56 dB 48 dB 40 dB 37 dB 36 dB 25 dB
- Suppose that a company must service customers lying in an area of A square miles with n warehouses. Kolesar and Blum showed that when the warehouse(s) are located properly, the average distance between a warehouse and a customer is (????)12. Assume that it costs the company $90,000 per year to maintain a warehouse and $5,000,000 to build a warehouse. Also, assume that this $5,000,000 building cost is equivalent to incurring a cost of $500,000 per year indefinitely. The company fills 180,000 orders per year, and the shipping cost per order is $1.25 per mile. If the company serves an area of 120 square miles, how many warehouses (make it as an integer variable) should it have?What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 110 in.3, and is constructed using the least amount of material? (Round your answers to two decimal places.) x = in y = inConsider the following. (a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 48. (i) Sample points are left endpoints.L6 = (ii) Sample points are right endpoints.R6 = (iii) Sample points are midpoints.M6 = (b) Is L6 an underestimate or overestimate of the true area? overestimateunderestimate (c) Is R6 an underestimate or overestimate of the true area? overestimateunderestimate (d) Which of the numbers gives the best estimate? L6M6 R6