Rog J.
1 Expert Answer
Scott S. answered • 04/19/16
Math and Science Tutor: High School, AP, SAT/ACT, and College
Prisms and pyramids behave similarly - their volume is dependent on the area of the base and their altitude. This is true for all prisms (including "circular prisms" or cylinders) and for all pyramids (including "circular pyramids" or cones).
The volume of any prism is the area of the base times the altitude of the prism.
The volume of a pyramid is 1/3 the area of the base times the altitude of the pyramid.
Vprism = Areabase x altitude
Vpyramid = 1/3 x Areabase x altitude
If the bases of the two solids are congruent, their areas are equal, and we know the altitudes are equal.
So the quantity ( Areabase x altitude ) is the same in both equations.
Substituting the volume of the prism into the formula for the volume of the pyramid:
At this point, you can solve for the volume of the prism easily since you know the volume of the pyramid.
2.) Find the universal set of the following..A. P= {20,1 ,4 ,12 ,6 }B. K={Ballpen,Pencil,Pentel Pen} L={Pad Paper,Crayolas,Pencils} S={1, 2, 3, 4,}
Part1: Arithmetic Sequence or Choose difference (d). Not? If the given choose yes then give Common NO then write IF NOT Arithmetic Sequence, Sequence … difference (a). NA (1) -8 ,92, 192, 292 2.) 1, 9, 25, 49. (3) 192, 19288, 192 888, 128, 3, -2₁ -7, 48 157-21, 9, 39, 69,... common Arithmetic Common Sequence? difference
3. Find the 15th term of the authmetic sequence 13, 17, 21, 25..
Choose the letter of the correct answer. Write your answer on a separate sheet of paper. 1. Which sequence illustrates an arithmetic sequence? A. 1, 1 … , 2, 3, 5, … C. 1, 4, 7, 10, 13, … B. 1, 2, 4, 7, 11, D. 1, 2, 4, 8, 16, … 2. Which sequence is NOT an arithmetic sequence? A. 2, 5, 8, 11, … C. 16, 12, 8, 4, … B. 3, 7, 11, 15, … D. 16, 13, 11, 10,… 3. What is the common difference of the sequence 4, 9, 14, 19, …? A. 5 B. --5 C. 10 D. -10 4. The common difference of the following sequences is 3 EXCEPT ___________. A. 3, 6, 9, 12, … C. 20, 17, 14, 11, … B. 7, 10, 13, 16, … D. -22, -19, -16, -13, … 5. Which of the sequence has a common difference of 4? A. 1, 4, 16, 64. .. C. 4, 8, 12, 16, … B. 2, 4, 8, 16, … D. 4, 12, 36, 108, …
x² +g² - 4x + 8y-5=0
Completing the Table. Give the domain and range of each relation and identify if it is a function or not ?
what is the answer 3 \frac { 11 } { 25 } + 10 \frac { 21 } { 25 } + 3 \frac { 6 } { 25 }
round to the nearest thousand 7,369
2. Find the next three terms of each sequence.A. 15, 11,7,3... b. 1, 4, 9, 16...
please help, T-T i really need this right now.
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