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
sasho [114]
3 years ago
14

Which angle (in radians) corresponds to 2/3 of a circle?

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0
\dfrac{2}{3}\cdot360^o=2\cdot120^o=240^o-in\ degres\\\\\dfrac{2}{3}\cdot2\pi=\dfrac{4}{3}\pi-in\ radians
You might be interested in
Two functions are shown below.
Angelina_Jolie [31]

Answer: 3

Step-by-step explanation:

Given

f(x)=\dfrac{1}{3}3^x

g(x)=2x+4

For f(x) to be true, the domain is given by observing the graph of two i.e. x\in (-1.981,3.117). In this range g(x) is greater than f(x).

From the above domain largest integer that can satisfy the condition is 3.

3 0
3 years ago
Janice works for a salary of $2,396 per month. She has federal income tax withheld at the rate of 15 percent, Social Security ta
MAVERICK [17]

Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.

Let us calculate total deductions.

Federal income tax = 15% of 2396 = 0.15*2396      =$359.4

Social security tax  = 6.2% of 2396=0.062*2396    =$148.552

Medicare tax           = 1.45% of 2396= 0.0145*2396=$34.742

<u>health insurance premium                                         =$95          </u>

Total deductions                                                        = $637.694

To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306

Hence net pay of Janice is $1758.306 per month.

4 0
2 years ago
Solve 11sinθ-2=2 for a value of θ when 0≤θ≤π/2.? How do you solve the second problem?
Sergio [31]
5cos (2x)+7=cos (2x)+8, 4cos (2x)=1, cos (2x)=1/4, 2x=arccos(1/4), x=(1/2)arccos (1/4). I used x instead of theta, and arccos is cos inverse
6 0
3 years ago
A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of th
Temka [501]
The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down  "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

\bf \begin{array}{lccclll}&#10;&distance&rate&time\\&#10;&-----&-----&-----\\&#10;upstream&100&b-c&5\\&#10;downstream&100&b+c&2&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;100=(b-c)5\\&#10;\qquad \frac{100}{5}=b-c\\&#10;\qquad 20=b-c\\&#10;\qquad 20+c=\boxed{b}\\&#10;100=(b+c)2\\&#10;\qquad 50=b+c\\&#10;\qquad 50=\boxed{20+c}+c&#10;\end{cases}

solve for "c", to see what's the current's speed

what's "b"?  well 20+c = b
4 0
3 years ago
What is the solution of log2x+3125 = 3? (1 point)
enot [183]

Answer:

x =  - 1062.5

Step-by-step explanation:

Assuming the equation is:

log(2x + 3125)  = 3

Then taking antilogarithms gives:

2x + 3125 =  {10}^{3}

We simplify on the left to get:

2x + 3125 = 10 \times 10 \times 10

This gives us:

2x + 3125 =1000

We subtract 3125 from both sides to get:

2x = 1000 - 3125

2x = -  2125

x =  - 1062.5

6 0
3 years ago
Other questions:
  • Find the common ratio for the geometric sequence for which <img src="https://tex.z-dn.net/?f=a_1" id="TexFormula1" title="a_1" a
    11·2 answers
  • Julio wanted to borrow $2400 from his parents to buy a scooter. His parents told him they would loan him the money for only 3% s
    8·1 answer
  • Lila decided to make more baked goods for the bake sale she used 1/8 lb less flour to make the bread then to make the cookies. S
    12·1 answer
  • Solve for x under the assumption that x &lt; 0. Select the correct graph!
    8·1 answer
  • What is the quotient? a-3/7 - 3-9/21
    10·2 answers
  • Jessica has 19 yellow balloons. Tim has eight times more yellow balloons how many yellow balloons does tim have
    11·1 answer
  • Solve for x.<br> 4(3x-8)=-92<br><br> i need help
    8·2 answers
  • Matt took a taxi from his home to the airport. The taxi driver charged an initial fee of $6.75 plus $2.20 per mile. The total fa
    8·2 answers
  • Drag and drop the appropriate property next to the steps to justify each step.
    7·1 answer
  • A family is comparing different car seats. One car seat is designed for a child up to and including 25 lb. Another car seat is d
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!