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What is mathimatical domain range?
Take a map S from set A to set B, denote S: A ---> B We call A to be our domain, B our codomain. We call, with an small abuse of notation, S(A) our range, that is the set of all maps of elements of A. Or, we call set C the range of S if C = {c | c = S(a) for all a from A} Remark, C is a subset of B. Just for further knowledge, if for all a in A, S(a) is different, or S(a) != S(b) => a != b for all a, b from A (S(a) and S(b) from B), then we say S is one-to-one. It can happen when the "size" of A is smaller or equal than that of B. if the range of S is the same as the codomain. Or for all elements c from B, c = S(a) for some a from A, then we call S to be onto. It can happen when "size" of A is larger or equal to that of B. Further, if S is one-to-one AND onto, it is invertible. I will leave the proof as an exercise. Just two more note: 1. S is linear if it's a map between vector space A, B over field F which also satisfies S(a + b) = S(a) (+) S(b) and S(kb) = k.S(b) where + and x are addition and scalar multiplication from A while (+) and . are for B. 2. S is not necessarily a function.
What is the area of oblique triangles?
Use the Hero's formula: Let s = (a + b + c)/2. Then the area of the triangle equals√[s(s - a)(s - b)(s - c)], where a, b, and c denote the sides of the triangle.
How do you find the area of an oblique triangle which 3 sides are given?
Let the sides be a, b, c Area = sq rt [s(s-a)(s-b)(s-c)] where s= 1/2 (a+b+c)
What is the formula for the surface area and volume of a triangular prism?
The answer depends on the information that you do have. Suppose you know all the edge lengths: the three sides of the triangle are a, b and c and the length of the prism is d. Let s = (a + b + c)/2 Then the area of the triangular cross section is sqrt[s*(s-a)*(s-b)*(s-c)] square units. So, surface area = 2*sqrt[s*(s-a)*(s-b)*(s-c)] + d*(a+b+c) square units. Volume = sqrt[s*(s-a)*(s-b)*(s-c)]*d cubic units.
What is the area of a triangle 17m by 17m by 30m?
120 sq metres. To see how you get this answer, read on: If the sides are a, b and c, then calculate s = 0.5*(a+b+c) Then the area is sqrt[s*(s-a)*(s-b)*(s-c)]
What has the author Kaia Kruus written?
Kaia Kruus has written: 'A proposed interface design for a multi-target database searcher' -- subject(s): Design, Computer interfaces, Online library catalogs
In a Little League baseball game the 145 g ball enters the strike zone with a speed of 15.0 ms The batter hits the ball and it leaves his bat with a speed of 20.0 ms in exactly the opposite direction?
Im taking ms for m/s. the magnitude of the impulse= (px)i=m(vxi)=(0.145kg)(-15.0m/s)=-2.2N (px)f=m(vx)f=(0.145kg)(20.0m/s)=2.9N Delta Px =(px)f-(px)i= 2.9N-(-2.2N)=5.1N or 5.1 kg m/s If the bat is in contact with the ball for 1.5 ms the magnitude of the avg force exerted on the bat is: Favg= J/Delta t 1.5 ms=0.0015 s Favg= (5.1 kg m/s)/0.0015 = 3400N
Does the military provide tampons for women in the military?
The Army does not supply them to you, but they can be purchased at the Post Exchange (PX) store(s) located on base.
What has the author Malcolm Taylor written?
Malcolm. Taylor has written: 'The actor and the camera' -- subject(s): Acting, Television acting, Vocational guidance 'PX'
What is the ditloid 7 equals B for S B?
The ditloid 7 equals B for S B (7 = B for S B) means:7 = Brides for Seven Brothers
When was S. B. S. Abayakoon born?
S. B. S. Abayakoon was born in 1958.
What letter comes next bbabbbaa?
The next letter will be a "b." The pattern 2-1-3-2-4-3-etc. So the "a"s and "b"s will each increase by one. First there were two "b"s, then one "a." Then there were three "b"s and two "a"s. So next there will be four "b"s and three "a"s, five "b"s and four "a"s, and so on.
What is mathimatical domain range?
Take a map S from set A to set B, denote S: A ---> B We call A to be our domain, B our codomain. We call, with an small abuse of notation, S(A) our range, that is the set of all maps of elements of A. Or, we call set C the range of S if C = {c | c = S(a) for all a from A} Remark, C is a subset of B. Just for further knowledge, if for all a in A, S(a) is different, or S(a) != S(b) => a != b for all a, b from A (S(a) and S(b) from B), then we say S is one-to-one. It can happen when the "size" of A is smaller or equal than that of B. if the range of S is the same as the codomain. Or for all elements c from B, c = S(a) for some a from A, then we call S to be onto. It can happen when "size" of A is larger or equal to that of B. Further, if S is one-to-one AND onto, it is invertible. I will leave the proof as an exercise. Just two more note: 1. S is linear if it's a map between vector space A, B over field F which also satisfies S(a + b) = S(a) (+) S(b) and S(kb) = k.S(b) where + and x are addition and scalar multiplication from A while (+) and . are for B. 2. S is not necessarily a function.
What is the area formula for an triangle?
It is sqrt{s*(s-a)*(s-b)*(s-c)} where the lengths of the three sides are a, b and c units and s = (a+b+c)/2.
When was B. S. Chandrasekhar born?
B. S. Chandrasekhar was born in 1945.
When was B. S. Potter born?
B. S. Potter was born in 1836.
When was S. B. Rao born?
S. B. Rao was born in 1943.
