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jolli1 [7]
3 years ago
14

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places

where appropriate.)
sin(θ) = −sqrt/ 3/ 2

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Answer:

  θ = {(4/3 +2k)π, (5/3 +2k)π}

Step-by-step explanation:

From your knowledge of trig functions, you know that sin(60°) = sin(π/3) = (√3)/2. So, the angles of interest are in the 3rd- and 4th-quadrant and will have π/3 as their reference angle.

  θ = 4/3π +2kπ, and 5/3π +2kπ

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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?
erastovalidia [21]

Answer:

x=5\ and\ y=-8

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

y=-x-3

5x+2y=9

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the y values in terms of x from the equation y=-x-3 into the other equation to solve for x

Substituting y=-x-3 into 5x+2y=9.

We have:

5x+2(-x-3)=9

<em>Using distribution.</em>

5x-2x-6=9

<em>Combining like terms.</em>

3x-6=9

Adding 6 both sides.

3x-6+6=9+6

3x=15

Dividing both sides by 3.

\frac{3x}{3}=\frac{15}{3}

∴ x=5

<em>Plugging in x=5 into y=-x-3.</em>

We have,

y=-5-3

∴ y=-8

The solution of the system can be given as (5,-8).

4 0
3 years ago
Routine and non routine problems involving integers
jeyben [28]

Answer:

each one contribute 300

Step-by-step explanation:

The computation of the each one contribution is given below:

Given that

There are six ALS learner who shares the apartment

The total bill is 1,800

So based on the above information, the each one contribution is

= Total bill ÷ number of learners

= 1,800 ÷ 6

= 300

Hence, each one contribute 300

6 0
3 years ago
Use an area model to solve. 2 2/3 x 1 1/3?
natima [27]
<span>the answer is : 9.77777777778</span>
6 0
3 years ago
Read 2 more answers
Bill Gates wrote a computer program that generates three random numbers
Allushta [10]

Answer:

1/1000

Step-by-step explanation:

The probability of two independent events A, B (independent = events that do not depend on each other) is given by the product of the individual probabilities of A and B:

p(AB)=p(A)\cdot p(B) (1)

In this problem, the single event is "getting a 3" when extracting a random number between 1 and 10.

The total number of possible outcomes is

n = 10

While the number of succesfull outcomes (getting a 3) is only one:

s=1

So, the probability of drawing a 3 in 1 draw is

p(3)=\frac{s}{n}=\frac{1}{10}

Then, we want to find the probability of getting three "3" in 3 consecutive generations. These events are independent events, so we can use rule (1) to find the total probability, and we get:

p(333)=p(3)p(3)p(3)=(\frac{1}{10})(\frac{1}{10})(\frac{1}{10})=\frac{1}{1000}

7 0
3 years ago
10 PTS!! (5 + 2/8) - (3 7/8)
Artyom0805 [142]
The answer should be 1 3/8
7 0
3 years ago
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