course Mth 173 assignment #001001. Areas
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18:40:24 `q001. There are 11 questions and 7 summary questions in this assignment. What is the area of a rectangle whose dimensions are 4 m by 3 meters.
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RESPONSE --> The area of a rectangle whose dimensions are 4m by 3m = 12 square meters. confidence assessment: 3
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18:41:00 `q002. What is the area of a right triangle whose legs are 4.0 meters and 3.0 meters?
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RESPONSE --> Ok confidence assessment: 3
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18:44:44 `q003. What is the area of a parallelogram whose base is 5.0 meters and whose altitude is 2.0 meters?
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RESPONSE --> A parallelogram whose base is 5.0 m and whose altitude is 2.0m has an area of 10.0 m^2 confidence assessment: 3
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18:47:53 `q004. What is the area of a triangle whose base is 5.0 cm and whose altitude is 2.0 cm?
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RESPONSE --> The area of a triangle whose base is 5.0cm and whose altitude is 2.0cm is 5cm. confidence assessment: 3
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18:48:58 `q005. What is the area of a trapezoid with a width of 4.0 km and average altitude of 5.0 km?
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RESPONSE --> I must remember to include my units squared. confidence assessment: 3
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18:59:06 `q006. What is the area of a trapezoid whose width is 4 cm in whose altitudes are 3.0 cm and 8.0 cm?
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RESPONSE --> The area of a trapezoid with a width of 4cm, and altitudes of 3.0cm and 8.0 cm is 22. Area of a trapezoid: 1/2 * h (a+b)= 1/2 * 4cm (3.0cm + 8.0cm)= 22cm^2 confidence assessment: 2
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18:59:20 `q007. What is the area of a circle whose radius is 3.00 cm?
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RESPONSE --> ok confidence assessment: 3
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19:15:36 `q008. What is the circumference of a circle whose radius is exactly 3 cm?
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RESPONSE --> The circumference of a circle that has a radius of 3 cm is 18.85cm. confidence assessment: 3
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19:17:23 `q009. What is the area of a circle whose diameter is exactly 12 meters?
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RESPONSE --> 37.7cm^2 is the area of a circle whose diameter is 12. confidence assessment: 2
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19:35:57 `q010. What is the area of a circle whose circumference is 14 `pi meters?
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RESPONSE --> The area of a circle whose circumference is 14 pi meters = 87 pi meters. confidence assessment: 0
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20:04:19 Knowing that A = pi r^2 we solve for r. We first divide both sides by pi to obtain A / pi = r^2. We then reverse the sides and take the square root of both sides, obtaining r = sqrt( A / pi ). Note that strictly speaking the solution to r^2 = A / pi is r = +-sqrt( A / pi ), meaning + sqrt( A / pi) or - sqrt(A / pi). However knowing that r and A are both positive quantities, we can reject the negative solution. Now we substitute A = 78 m^2 to obtain r = sqrt( 78 m^2 / pi) = sqrt(78 / pi) m.{} Approximating this quantity to 2 significant figures we obtain r = 5.0 m.
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RESPONSE --> I entered a radius of 4.98m, but i accidently hit the next question button. self critique assessment: 2
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20:11:02 `q012. Summary Question 1: How do we visualize the area of a rectangle?
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RESPONSE --> We could vizualize the area of a rectanlge by multiplying the length and width of the rectangle. We could also vizualize the area by imagining the entire rectangle composed of tiny boxes. Example: For a length of 4"" and a width of 3"", we could visualize the rectangle filled with tiny boxes stacked four wide and three deep. Giving us an answer of 12"" or boxes. confidence assessment: 2
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20:14:42 `q013. Summary Question 2: How do we visualize the area of a right triangle?
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RESPONSE --> We visualize the area of a right triangle by thinking of it as a square cut diagonally. Giving us the formula of 1/2*b*h. confidence assessment: 1
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20:15:30 `q014. Summary Question 3: How do we calculate the area of a parallelogram?
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RESPONSE --> Area = b*h confidence assessment: 3
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20:18:25 `q015. Summary Question 4: How do we calculate the area of a trapezoid?
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RESPONSE --> We calculate the area of a trapezoid by: 1/2* height * (length a + length b). confidence assessment: 2
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20:19:35 `q016. Summary Question 5: How do we calculate the area of a circle?
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RESPONSE --> We calculate the area of a circle by taking pi and multiplying it by the radius squared. confidence assessment: 2
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20:20:32 `q017. Summary Question 6: How do we calculate the circumference of a circle? How can we easily avoid confusing this formula with that for the area of the circle?
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RESPONSE --> To calculate the circumference of a circle, we take 2* pi * radius. confidence assessment: 2
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20:22:25 `q018. Explain how you have organized your knowledge of the principles illustrated by the exercises in this assignment.
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RESPONSE --> I have learned to break down each step of a formula and translate it. Which helps in the memorization and understanding of the formula. confidence assessment: 2
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?????€?????? assignment #002 002. Volumes qa areas volumes misc 06-12-2007
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21:52:49 `q001. There are 9 questions and 4 summary questions in this assignment. What is the volume of a rectangular solid whose dimensions are exactly 3 cm by 5 cm by 7 cm?
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RESPONSE --> The area of a rectangular solid whose dimensions are 3cm X 5cm X 7cm = 105cm confidence assessment: 2
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21:56:49 `q002. What is the volume of a rectangular solid whose base area is 48 square meters and whose altitude is 2 meters?
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RESPONSE --> The volume of a rectangular solid whose base is 48m^2 and an altitude of 2m = 12m. ( 48m/2m = 12m) confidence assessment: 3
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22:08:18 `q003. What is the volume of a uniform cylinder whose base area is 20 square meters and whose altitude is 40 meters?
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RESPONSE --> The volume of a cylinder that has a base area of 20m^2 and an altitude of 40m is 800m^3. confidence assessment: 2
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22:11:48 `q004. What is the volume of a uniform cylinder whose base has radius 5 cm and whose altitude is 30 cm?
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RESPONSE --> The volume of a uniform cylinder that has a base radius of 5cm and an altitude of 30cm is 2356cm^3. (V= pi * radius^2 * height.) confidence assessment: 3
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22:38:02 `q006. What is the volume of a pyramid whose base area is 50 square cm and whose altitude is 60 cm?
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RESPONSE --> The area of a triangle that has a base of 50cm^2 and an altitude of 60cm is 1000cm^3. (1/3*50*60=1000) confidence assessment: 2
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22:43:23 `q007. What is the volume of a cone whose base area is 20 square meters and whose altitude is 9 meters?
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RESPONSE --> The volume of a cone that has a base of 20m^2 and an altitude of 9m is 60m^3. ( 1/3* 20m^2 * 9m = 60) confidence assessment: 2
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22:48:11 `q008. What is a volume of a sphere whose radius is 4 meters?
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RESPONSE --> The volume of a sphere that has a radius of 4m is 268.08m^3. ( 4/3* pi*4^3=268.08m^3) confidence assessment: 2
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22:56:53 `q009. What is the volume of a planet whose diameter is 14,000 km?
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RESPONSE --> A planet that has a diameter of 14,000km has a volume of 1.4 billion km^3. confidence assessment: 1
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22:59:26 `q010. Summary Question 1: What basic principle do we apply to find the volume of a uniform cylinder of known dimensions?
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RESPONSE --> The basic principle applied to finding the volume is finding the product of the known dimensions. These dimensions include the radius and height of the cylinder. confidence assessment: 1
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23:02:05 `q011. Summary Question 2: What basic principle do we apply to find the volume of a pyramid or a cone?
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RESPONSE --> The basic principle we apply in finding the volume of a cone includes 1/3, and multiply it with the radius and height of a cone/pyramid. confidence assessment: 1
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23:03:41 `q012. Summary Question 3: What is the formula for the volume of a sphere?
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RESPONSE --> the formula for the volume of a sphere requires that we take 4/3 and multiply it by pi and the radius^3. confidence assessment: 2
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course Mth 173 assignment #001001. Areas
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18:40:24 `q001. There are 11 questions and 7 summary questions in this assignment. What is the area of a rectangle whose dimensions are 4 m by 3 meters.
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RESPONSE --> The area of a rectangle whose dimensions are 4m by 3m = 12 square meters. confidence assessment: 3
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18:41:00 `q002. What is the area of a right triangle whose legs are 4.0 meters and 3.0 meters?
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RESPONSE --> Ok confidence assessment: 3
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18:44:44 `q003. What is the area of a parallelogram whose base is 5.0 meters and whose altitude is 2.0 meters?
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RESPONSE --> A parallelogram whose base is 5.0 m and whose altitude is 2.0m has an area of 10.0 m^2 confidence assessment: 3
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18:47:53 `q004. What is the area of a triangle whose base is 5.0 cm and whose altitude is 2.0 cm?
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RESPONSE --> The area of a triangle whose base is 5.0cm and whose altitude is 2.0cm is 5cm. confidence assessment: 3
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18:48:58 `q005. What is the area of a trapezoid with a width of 4.0 km and average altitude of 5.0 km?
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RESPONSE --> I must remember to include my units squared. confidence assessment: 3
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18:59:06 `q006. What is the area of a trapezoid whose width is 4 cm in whose altitudes are 3.0 cm and 8.0 cm?
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RESPONSE --> The area of a trapezoid with a width of 4cm, and altitudes of 3.0cm and 8.0 cm is 22. Area of a trapezoid: 1/2 * h (a+b)= 1/2 * 4cm (3.0cm + 8.0cm)= 22cm^2 confidence assessment: 2
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18:59:20 `q007. What is the area of a circle whose radius is 3.00 cm?
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RESPONSE --> ok confidence assessment: 3
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19:15:36 `q008. What is the circumference of a circle whose radius is exactly 3 cm?
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RESPONSE --> The circumference of a circle that has a radius of 3 cm is 18.85cm. confidence assessment: 3
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19:17:23 `q009. What is the area of a circle whose diameter is exactly 12 meters?
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RESPONSE --> 37.7cm^2 is the area of a circle whose diameter is 12. confidence assessment: 2
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19:35:57 `q010. What is the area of a circle whose circumference is 14 `pi meters?
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RESPONSE --> The area of a circle whose circumference is 14 pi meters = 87 pi meters. confidence assessment: 0
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20:04:19 Knowing that A = pi r^2 we solve for r. We first divide both sides by pi to obtain A / pi = r^2. We then reverse the sides and take the square root of both sides, obtaining r = sqrt( A / pi ). Note that strictly speaking the solution to r^2 = A / pi is r = +-sqrt( A / pi ), meaning + sqrt( A / pi) or - sqrt(A / pi). However knowing that r and A are both positive quantities, we can reject the negative solution. Now we substitute A = 78 m^2 to obtain r = sqrt( 78 m^2 / pi) = sqrt(78 / pi) m.{} Approximating this quantity to 2 significant figures we obtain r = 5.0 m.
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RESPONSE --> I entered a radius of 4.98m, but i accidently hit the next question button. self critique assessment: 2
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20:11:02 `q012. Summary Question 1: How do we visualize the area of a rectangle?
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RESPONSE --> We could vizualize the area of a rectanlge by multiplying the length and width of the rectangle. We could also vizualize the area by imagining the entire rectangle composed of tiny boxes. Example: For a length of 4"" and a width of 3"", we could visualize the rectangle filled with tiny boxes stacked four wide and three deep. Giving us an answer of 12"" or boxes. confidence assessment: 2
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20:14:42 `q013. Summary Question 2: How do we visualize the area of a right triangle?
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RESPONSE --> We visualize the area of a right triangle by thinking of it as a square cut diagonally. Giving us the formula of 1/2*b*h. confidence assessment: 1
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20:15:30 `q014. Summary Question 3: How do we calculate the area of a parallelogram?
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RESPONSE --> Area = b*h confidence assessment: 3
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20:18:25 `q015. Summary Question 4: How do we calculate the area of a trapezoid?
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RESPONSE --> We calculate the area of a trapezoid by: 1/2* height * (length a + length b). confidence assessment: 2
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20:19:35 `q016. Summary Question 5: How do we calculate the area of a circle?
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RESPONSE --> We calculate the area of a circle by taking pi and multiplying it by the radius squared. confidence assessment: 2
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20:20:32 `q017. Summary Question 6: How do we calculate the circumference of a circle? How can we easily avoid confusing this formula with that for the area of the circle?
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RESPONSE --> To calculate the circumference of a circle, we take 2* pi * radius. confidence assessment: 2
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20:22:25 `q018. Explain how you have organized your knowledge of the principles illustrated by the exercises in this assignment.
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RESPONSE --> I have learned to break down each step of a formula and translate it. Which helps in the memorization and understanding of the formula. confidence assessment: 2
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?????€?????? assignment #002 002. Volumes qa areas volumes misc 06-12-2007
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21:52:49 `q001. There are 9 questions and 4 summary questions in this assignment. What is the volume of a rectangular solid whose dimensions are exactly 3 cm by 5 cm by 7 cm?
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RESPONSE --> The area of a rectangular solid whose dimensions are 3cm X 5cm X 7cm = 105cm confidence assessment: 2
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21:56:49 `q002. What is the volume of a rectangular solid whose base area is 48 square meters and whose altitude is 2 meters?
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RESPONSE --> The volume of a rectangular solid whose base is 48m^2 and an altitude of 2m = 12m. ( 48m/2m = 12m) confidence assessment: 3
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22:08:18 `q003. What is the volume of a uniform cylinder whose base area is 20 square meters and whose altitude is 40 meters?
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RESPONSE --> The volume of a cylinder that has a base area of 20m^2 and an altitude of 40m is 800m^3. confidence assessment: 2
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22:11:48 `q004. What is the volume of a uniform cylinder whose base has radius 5 cm and whose altitude is 30 cm?
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RESPONSE --> The volume of a uniform cylinder that has a base radius of 5cm and an altitude of 30cm is 2356cm^3. (V= pi * radius^2 * height.) confidence assessment: 3
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22:38:02 `q006. What is the volume of a pyramid whose base area is 50 square cm and whose altitude is 60 cm?
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RESPONSE --> The area of a triangle that has a base of 50cm^2 and an altitude of 60cm is 1000cm^3. (1/3*50*60=1000) confidence assessment: 2
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22:43:23 `q007. What is the volume of a cone whose base area is 20 square meters and whose altitude is 9 meters?
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RESPONSE --> The volume of a cone that has a base of 20m^2 and an altitude of 9m is 60m^3. ( 1/3* 20m^2 * 9m = 60) confidence assessment: 2
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22:48:11 `q008. What is a volume of a sphere whose radius is 4 meters?
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RESPONSE --> The volume of a sphere that has a radius of 4m is 268.08m^3. ( 4/3* pi*4^3=268.08m^3) confidence assessment: 2
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22:56:53 `q009. What is the volume of a planet whose diameter is 14,000 km?
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RESPONSE --> A planet that has a diameter of 14,000km has a volume of 1.4 billion km^3. confidence assessment: 1
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22:59:26 `q010. Summary Question 1: What basic principle do we apply to find the volume of a uniform cylinder of known dimensions?
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RESPONSE --> The basic principle applied to finding the volume is finding the product of the known dimensions. These dimensions include the radius and height of the cylinder. confidence assessment: 1
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23:02:05 `q011. Summary Question 2: What basic principle do we apply to find the volume of a pyramid or a cone?
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RESPONSE --> The basic principle we apply in finding the volume of a cone includes 1/3, and multiply it with the radius and height of a cone/pyramid. confidence assessment: 1
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23:03:41 `q012. Summary Question 3: What is the formula for the volume of a sphere?
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RESPONSE --> the formula for the volume of a sphere requires that we take 4/3 and multiply it by pi and the radius^3. confidence assessment: 2
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????????a???assignment #003 003. Misc: Surface Area, Pythagorean Theorem, Density qa areas volumes misc 06-12-2007
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23:20:47 `q001. There are 10 questions and 5 summary questions in this assignment. What is surface area of a rectangular solid whose dimensions are 3 meters by 4 meters by 6 meters?
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RESPONSE --> The surface area of a rectangular solid that has 3m X 4m X 6m dimensions is 69,984m^3 confidence assessment: 1
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23:25:49 `q002. What is the surface area of the curved sides of a cylinder whose radius is five meters and whose altitude is 12 meters? If the cylinder is closed what is its total surface area?
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RESPONSE --> The surface area is 534m. confidence assessment: 2
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23:28:37 `q003. What is surface area of a sphere of diameter three cm?
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RESPONSE --> The surface area is 9.424cm. confidence assessment: 2
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23:31:03 `q004. What is hypotenuse of a right triangle whose legs are 5 meters and 9 meters?
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RESPONSE --> The hypotenuse is 10m. confidence assessment: 2
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23:32:12 `q005. If the hypotenuse of a right triangle has length 6 meters and one of its legs has length 4 meters what is the length of the other leg?
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RESPONSE --> The length of the other leg is 7.2m. confidence assessment: 2
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23:43:44 `q008. If we build a an object out of two pieces of material, one having a volume of 6 cm^3 at a density of 4 grams per cm^3 and another with a volume of 10 cm^3 at a density of 2 grams per cm^3 then what is the average density of this object?
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RESPONSE --> Uncertain of procedure. Will save answers as notes. confidence assessment: 0
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23:45:45 `q009. In a large box of dimension 2 meters by 3 meters by 5 meters we place 27 cubic meters of sand whose density is 2100 kg/cubic meter, surrounding a total of three cubic meters of cannon balls whose density is 8,000 kg per cubic meter. What is the average density of the material in the box?
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RESPONSE --> Uncertain. Saving answers to notes. confidence assessment: 0
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23:46:41 `q010. How many cubic meters of oil are there in an oil slick which covers 1,700,000 square meters (between 1/2 and 1 square mile) to an average depth of .015 meters? If the density of the oil is 860 kg/cubic meter the what is the mass of the oil slick?
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RESPONSE --> Uncertain. Saving answers to notes. confidence assessment: 0
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23:49:06 `q011. Summary Question 1: How do we find the surface area of a cylinder?
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RESPONSE --> By using the formula: S= 2*pi*r*h + 2*pi*r^2 confidence assessment: 3
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23:49:50 `q012. Summary Question 2: What is the formula for the surface area of a sphere?
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RESPONSE --> S=4*pi*r^2 confidence assessment: 0
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You then start the process over with the next question, clicking on the Next Question/Solution button at top left, etc. &#