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Svetllana [295]
3 years ago
9

Find all solution of the following equation in the interval [0, 2pi) No decimals.

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Step-by-step explanation:

<u>Step 1:  Add 2cos(x) to both sides</u>

7cos(x) + 2cos(x) + 9 = -cos(x) + cos(x)

9cos(x) + 9 = 0

<u>Step 2:  Subtract 9 from both sides</u>

9cos(x) + 9 - 9 = 0 - 9

9cos(x) = -9

<u>Step 3:  Divide both sides by 9</u>

9cos(x) / 9 = -9 / 9

cos(x) = -1

<u>Step 4:  Find x</u>

cos^-^1(-1) = x

\pi = x

Answer:  x = \pi

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Three copies of a 14x45 rectangle were connected along a side to make a larger rectangle. What could the perimeter of the new re
Amiraneli [1.4K]

Answer:

298 or 174

Step-by-step explanation:

3 0
3 years ago
Suppose A is an invertible n×n matrix and v is an eigenvector of A with associated eigenvalue 4. Convince yourself that v is an
mote1985 [20]

The eigenvector of matrix A4 is 4096.

The eigenvalue of the matrix A-1 is 1/8.

(A+4I) has an eigenvalue of 12.

40 is the eigenvalue of 5Av.

The collection of scalar values known as the eigenvalues of a matrix are connected to the set of linear equations that are most likely contained within the matrix equations.

The eigenvectors are also known as the characteristic roots.

If the matrix A's eigen vector v is linked to an eigen value.

Av then equals lamda v.

The fact that v is an eigen vector of A with the value eight is assumed.

hence, Av = 8v.

We must determine the eigenvalue of A4.

A4*v equals A3(8v) = 84*v equals 4096v.

As a result, the eigenvalue of A4 is 4096.

Suppose A has an eigenvalue of 8. The eigenvalue of A-1 is thus 1/8.

It is calculated that the eigenvalue of (A+4I) is (A +4In)v = Av + 4v = 8v + 4v =12v.

(A+4I) has an eigenvalue of 12.

The value of 5Av's eigenvalue is 5Av = 5*8v = 40v.

40 is the eigenvalue of 5Av.

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7 0
1 year ago
Joana alugou um carro para fazer uma viagem de 36km sabendo q o carro percorre 12 km cm 1litro custa
saul85 [17]

Answer:

3 litros

Step-by-step explanation:

Joana alugou um carro para fazer uma viagem de 36km sabendo que o carro percorre 12 km cm 1 litro custa

Da pergunta:

12 km = 1 litro

36km = x

Cross Multiply.

12x = 36 × 1

x = 36/12

x = 3 litros

7 0
3 years ago
An item is regularly priced at $80. Juan bought It at a discount of 20% off the regular price. How much did Juan pay?
Gnesinka [82]
Hello there! So, the item has a 20% discount, but Juan still had to pay 80% for the item. To find the amount he paid, all you have to do is multiply the price by the percentage. We multiply by 80%, because he still had to pay the portion of the price. 80 * 80% (0.8) is 64. The. Juan paid $64.
3 0
3 years ago
50 points find the area
mixer [17]

Answer:

  • B. 84 in²

Step-by-step explanation:

Split the area into two sections by extending 6 in segment.

We get a rectangle of 5 in x 10 in and a trapezoid.

<u>Rectangle:</u>

  • A = wl
  • A = 5*10 = 50 in²

<u>Trapezoid:</u>

  • A = 1/2(b₁ + b₂)h
  • A = 1/2((15 - 5) + 7)*(10 - 6) = 1/2*17*4 = 34 in²

<u>Total area:</u>

  • 50 + 34 = 84 in²
4 0
2 years ago
Read 2 more answers
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