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algol13
2 years ago
12

Factorize: cos4θ + sin3θ . cosθ

Mathematics
1 answer:
bekas [8.4K]2 years ago
7 0

Answer:

Hope this was help full.

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Determine whether the following statements are True or False.
Stella [2.4K]

Answer:

1) False

2) False

3) True

4) False

Step-by-step explanation:

1) Flase, {v1,v2,v3, ..., vp} is a base for H when they span H and also they are linearly independent.

2) False. A single nonzero vector is linearly independent , not dependent. There is not null linear combination that gives 0 as a result involving that vector.

3) True, if the columns werent linearly independent, we could triangulate the matrix and obtain 0, so the matrix wouldnt be invertible. This means that the columns should be linearly independent for the matrix to be invertible and as a consecuence, they will spam a subspace of R^n of dimension n, which means that they will spam all R^n and therefore, they form a basis of R^n.

4) False. A basis is a spanning set that is as small as possible. Larger spanning sets will have extra elements apart from those who can form a base toguether. Those elements will make the set linearly dependent.

6 0
3 years ago
Need help ASAP! I’m very confused!
Ahat [919]

Answer:

4 would be your answer

Step-by-step explanation:

brainlesit pls

8 0
2 years ago
Brooke has to set up 70 chairs in equal rows for the class talent show. But, there is not room for more then 20 rows. What are t
grin007 [14]

Answer:

The answer is 2, 5, 7, 10, and 14.


Step-by-step explanation:

Let x be the number of rows. There is not room for more than 20 rows:

x ≤ 20


Since all rows must be equal, when we divide 70 by x, we must get a whole number. So, we must find all divisors of 70 smaller or equal to 20 and they are: 2, 5, 7, 10, and 14.

So, the possibilities are:

2 rows with 35 chairs in each row

5 rows with 14 chairs in each row

7 rows with 10 chairs in each row

10 rows with 7 chairs in each row

14 rows with 5 chairs in each row

Hope this helps!!


~CoCo

7 0
3 years ago
If there is a 75 x 50 hardwood top and bottom rail in this fence to connect the posts, how many 5.4 m long lengths of timber rai
kondaur [170]

Answer:

3,750

Step-by-step explanation:

because you need to do 7 * 75 * 50 and you will get the answer but it will be 3007 715 so that would be 7 3750h fences

4 0
2 years ago
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
morpeh [17]

If the triangles are similar then the angles in both are equal. Let's look at each set individually:

(1) Triangle 1: 25°, 35°
Triangle 2: 25°, 120°
Now it may be hard to tell if the triangles are similar at the moment so we must calculate the third angle in each triangle (The angles in a triangle add up to 180°, therefor the missing angle = 180 - (given angle 1 + given angle 2)
Triangle 1: 180 - (25 + 35) = 120°
Triangle 2: 180 - (25 + 120) = 35°

Now writing out the set of angles again we have:
Triangle 1: 25°, 35°, 120°
Triangle 2: 25°, 120°, 35°

So in fact Triangle 1 and 2 are similar.

Now we can repeat this process for (2) - (5):

(2) Triangle 1: 100°, 60°, 20°
Triangle 2: 100°, 20°, 60°
This pair is also similar

(3) Triangle 1: 90°, 45°, 45°
Triangle 2: 45°, 40°, 95°
This pair is not similar

(4) Triangle 1: 37°, 63°, 80°
Triangle 2: 63°, 107°, 10°
This pair is not similar

(5) Triangle 1: 90°, 20°, 70°
Triangle 2: 20°, 90°, 70°
This pair is similar

Therefor pairs (1), (2) and (5) are similar
6 0
2 years ago
Read 2 more answers
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