Measure the Dry Erase Board a. width in mm 48000 mm length in mm (43 600 mm b. width in cm length in cm c. width in m length in m What is the surface area of the Dry Erase Board in a. mm² b. cm² 1.000 cm c. m² 4800 cm 48 m 6244 m 14300 cm 143 m
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- 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.(b) Show that the volumes of a cylinder and of a rectangular box can be written in the form V = Ah, identifying A in each case. (Note that A, sometimes called the "footprint" of the object, can have any shape and that the height can, in general, be replaced by the average thickness of the object.A carpenter plans to make a rectangular wooden box with no lid (that is, open on its top side) and with a capacity of 108 cubic metres. The necessary wood costs £??/??. Using a Lagrangian, find the dimensions of the box that will minimise the total price paid for wood, and that price
- During the morning of August 14, 2011, Old Faithful Geyser in Yellowstone National Park erupted at the following times (to the nearest minute): 12:07 a.m., 1:42 a.m., 3:05 a.m., 4:41 a.m., 6:07 a.m., 7:37 a.m., 9:08 a.m., and 10:34 a.m. What was the average interval between eruptions on this morning? _____ minutes3. The red blood cell count of a healthy person was measured on each of 15 days. The number recorded is measured in 106 cells per microliterA xtsax ¢) Find the value of csc(cos™! § —tan™! g)
- Suppose that the radius of the hut is increased by 2.5%. Calculate the following:(i) Percentage increase in the area of the roof?(ii) Percentage decrease in the proportion of the volume taken by the ball in the hut?3) what is the volume of the tunnela. 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 measurement
- 2. How much does a 1 unit increase in Length increase price? Use negative values if it results in a decreased price. Round your answers to two decimals. make price mpg rep78 headroom trunk weight length turn displacement gear_ratio foreign AMC Concord 4,099 22 3 3 11 2,930 186 40 121 3.58 Domestic AMC Pacer 4,749 17 3 3 11 3,350 173 40 258 2.53 Domestic AMC Spirit 3,799 22 3 12 2,640 168 35 121 3.08 Domestic Buick Century 4,816 20 3 5 16 3,250 196 40 196 2.93 Domestic Buick Electra 7,827 15 4 4 20 4,080 222 43 350 2.41 Domestic Buick LeSabre 5,788 18 3 4 21 3,670 218 43 231 2.73 Domestic Buick Opel 4,453 26 3 10 2,230 170 34 304 2.87 Domestic Buick Regal 5,189 20 3 2 16 3,280 200 42 196 2.93 Domestic Buick Riviera 10,372 16 3 4 17 3,880 207 43 231 2.93 Domestic Buick Skylark 4,082 19 3 4 13 3,400 200 42 231 3.08 Domestic Cad. Deville 11,385 14 3 4 20 4,330 221 44 425 2.28 Domestic Cad. Eldorado 14,500 14 2 4 16 3,900 204 43 350 2.19 Domestic Cad.…The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into the following table: Too Small Too Large Total Low Income 18 22 40 High Income 21 14 35 Total 39 36 75 Based on this data: (give your answers as fractions, or decimals to at least 3 decimal places)a) The proportion of children from the low income group that drew the nickel too large is:b) The proportion of children from the high income group that drew the nickel too large is:2. A gas can is found to have a volume of 10.4 liters. Show, using unit analysis, what the volume of the gas can is in quarts.