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Mathematics

1 answer:

SVEN [57.7K]3 years ago

7 0

Answer:

It's A

Step-by-step explanation:

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? M/S = 7.2 km/h ------ PLEASE HELP

Gre4nikov [31]

To go from km/h to M/S you have to multiply by 3,6 so this must be the answer:
7,2 km/h x 3,6 = 25,92 M/S

8 0

4 years ago

A triangle has legs that are 7in and 24in long. How long is the hypothenuse?

SashulF [63]

Answer: 25 in

Step-by-step explanation:

Due to the use of the term "hypotenuse" I will assume the triangle is a right triangle.

According to pythagorean theorem, 7²+24²=(hypotenuse)²

49+24²= (hypotenuse)²

49+576= (hypotenuse)²

625 = (hypotenuse)²

25 = hypotenuse

Hope it helps <3 :D

6 0

3 years ago

Show that if S1 and S2 are subsets of a vector space V such that S1 c S2 then span(S1) c span(S2). In particular, if S1 c S2 the

klemol [59]

Answer:

See proof below

Step-by-step explanation:

Assume that V is a vector space over the field F (take F=R,C if you prefer).

Let $x\in span(S_1)$ . Then, we can write x as a linear combination of elements of s1, that is, there exist $v_1,v_2,\cdots,v_k \in S_1$ and $a_1,a_2,\cdots,a_k\in F$ such that $x=a_1v_1+a_2v_2+\cdots+a_kv_k$ . Now, $S_1\subseteq S_2$ then for all $y\in S_1$ we have that $y\in S_2$ . In particular, taking $y=v_j$ with $j=1,2,\cdots,k$ we have that $v_j\in S_2$ . Then, x is a linear combination of vectors in S2, therefore $x\in span(S_2)$ . We conclude that $span(S_1)\subseteq span(S_2)$ .

If, additionally $S_2\subseteq S_1$ then reversing the roles of S1 and S2 in the previous proof, $span(S_2)\subseteq span(S_1)$ . Then $span(S_1)\subseteq span(S_2)\subseteq span(S_1)$ , therefore $span(S_1)=span(S_2)$ .