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Zigmanuir [339]
2 years ago
14

Which of the following shows a 60 degree counterclockwise rotation of Figure A using center P?​

Mathematics
1 answer:
fomenos2 years ago
6 0

Answer:

30....... ...... ......

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16. Let W be the set of all vectors in R3 of the form a+2b b -3a Find a basis for Wand state the dimension of W.
Yuki888 [10]

Answer:

W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}

Observe that if the vector x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right] is in W then it satisfies:

\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]

This means that each vector in W can be expressed as a linear combination of the vectors \left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]

Also we can see that those vectors are linear independent. Then the set

\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\} is a basis for W and the dimension of W is 2.

7 0
2 years ago
Ella has only quarters and nickels in her wallet. She has 2 more quarters than nickels. The total value of the coins is $2.00
aleksley [76]
Ella has 5 nickles and 7 quarters

8 0
3 years ago
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In ΔABC, the measure of ∠C=90°, BA = 41, CB = 40, and AC = 9. What ratio represents the cosine of ∠B?
blsea [12.9K]

Answer:

40/41

Step-by-step explanation:

From the given diagram;

BA is the hypotenuse = 41

AC is the opposite = 9

CB is the adjacent = 40

Cos<B = adjaccent/hyp

Cos<B = CB/BA

Cos<B = 40/41

Hence the required ratio is 40/41

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3 years ago
6+(-1)+(-12) i will give brainllest
Natasha_Volkova [10]

Answer: -7

Step-by-step explanation:

7 0
3 years ago
What is 8/14 simplified?
Colt1911 [192]

Answer:

4/7 or 0. 571428 repeated

Step-by-step explanation:


5 0
3 years ago
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