1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jolli1 [7]
2 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]2 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

You might be interested in
Find the x is qs bisects pqr and pqr=82
slavikrds [6]

if ∡PQR = 82°, and the ray QS bisects it, it cuts ∡PQR into two equal halves, ∡PQS and ∡RQS, each of which is then 82/2, or 41°.


\bf \stackrel{\measuredangle PQS}{10x+1}=41\implies 10x=40\implies x=\cfrac{40}{10}\implies x=4

5 0
3 years ago
Read 3 more answers
Simplify the algebraic expression 9+4(3c-1)
Natasha2012 [34]
9+4(3c-1)
13(3c-1)
39c-13

5 0
3 years ago
Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every
Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}

For machine B:

B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

t = \frac{200}{8} s = 25 s

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0
3 years ago
Read 2 more answers
Which inequality represents the solutions to the inequality −5r+18≤2−3r?
Harlamova29_29 [7]

Answer:

2 step equation problems.

Step-by-step explanation:

So you need to replace -3 into that to add -18 on both sides and that gives you the negative number is -20 and then you add the -5r+-3r less than or equal to -20. Now, negative -5 +3 = -8 + -20 = -28. r=-28.

4 0
2 years ago
Find the prime factorization of each number: <br> 11. 29 <br> 12. 168
Ray Of Light [21]
29 is a prime number.
Factors of 29: 1 , 29

168 is a composite number, therefore you can find the prime factorization for it. Divide prime factors until what is left is a prime number. Use the tree factor. See attached picture:

Prime factorization of 168: 2, 2, 2, 3, 7

7 0
3 years ago
Other questions:
  • A car traveled from city a to city b at an average speed of 3x miles per hour, where x &gt; 0. the car then immediately returned
    9·1 answer
  • I forgot someone help me plz
    14·2 answers
  • Can a sequence be both arithmetic and geometric at the same time
    14·1 answer
  • A point is reflected in the x-axis. The reflected point is (2,1). a. What is the original point? And b: what is the distance bet
    14·1 answer
  • 3. What is expressed in decimal form?<br>a. 0.58<br>b. 5.8<br>c. 1.6<br>c<br>d. 625​
    5·1 answer
  • The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap cost $1 and the chicken wrap cost$1.8
    12·1 answer
  • Simplify if possible<br> За2 + ба +2b2
    7·2 answers
  • A rectangle has one side that measures 3x + 1 and another that measures 4y + 3. Keith says that the perimeter of the rectangle i
    6·1 answer
  • (b) XYZ limited had sales of Sh.700,00 in its first year of operation. If the sales increased by Sh.250,000 thereafter, find the
    5·1 answer
  • Erik read a total of 4 books over 2 months. After belonging to the book club for 17 months, how many books will Erik have read i
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!