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3 years ago

Write the numbers in ascending order

Mathematics

1 answer:

nadezda [96]3 years ago

8 0

-√2, 0, √5, 13/4

-1.5, 3/4, 3, √10

-3/2, -3/7, 0.75, 2

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Evan has 2 pieces of wood: one is 90 inches and the other is 72 inches.he wants to cut both pieces of wood into smaller pieces s

Gre4nikov [31]

72/2=36

90/2=45

2+2=4 pieces of wood

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2 years ago

In a class, 60% of the students are boys and the rest are girls. If the number of boys is 30, how many students are there?

irga5000 [103]

50 total students

20 girls

Explanation:

total students: 100%

----------------

60% → 30

1% → 30/60

1% → 0.5

100% → (0.5 * 100)

100% → 50

number of girls:

total students - number of boys

50 - 30

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2 years ago

Josef's closet is 5 feet wide and 3 feet deep. What is the area of his closet floor?

choli [55]

Answer:

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Step-by-step explanation:

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2 years ago

Determine whether line segment FG is tangent to circle E.

liubo4ka [24]

The tangent meets the radius at a right angle.

We use (the converse of) the Pythagorean Theorem to check:

$26^2 + 17^2 = 965 \ne 30^2$

Not a right triangle

Answer: FALSE

4 0

2 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 $span(S_1)=span(S_2)$ .

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2 years ago