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
vichka [17]
3 years ago
14

MZYX=pi/3 radians. Covert this radian measure to its equivalent degree measure.

Mathematics
2 answers:
vitfil [10]3 years ago
7 0

Answer:

60°

Step-by-step explanation:

Angles can be converted from radians to degrees by multiplying by 180/π.

π/3 * 180°/π = 180°π /3π = 180/3 = 60°

60° is the measure of ZYX in degrees.

Rom4ik [11]3 years ago
6 0

Answer: 60°

Step-by-step explanation:

To convert a radian measure to its equivalent degree measure, we need to multiply 180° and divide by  π .

Now, Given : m\angle{ZYX}=\dfrac{\pi}{3}\text{ radians}

Then , its equivalent degree measure would be :

m\angle{ZYX}=\dfrac{\pi}{3}\times\dfrac{180^{\circ}}{\pi}\\\\\Rightarrow\ m\angle{ZYX}=60^{\circ}

Hence, the equivalent degree measure of m\angle{ZYX}=\dfrac{\pi}{3}\text{ radians} is 60°.

You might be interested in
Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1
alexandr1967 [171]

Answer:

a) \simeq 0.3012   b) \simeq 0.0494 c) \simeq 0.2438

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, \frac{1.2}{4}

= 0.3 collisions per  month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

          P(X =x) = \frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}


                                                           for x ∈ N ∪ {0}

                       =  0 otherwise --------------------------------------(1)

here, \lambda = 0.3 collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

         P(X = 0) = \frac{e^{-0.3}\times {\0.3}^{0}}{0!}


                      \simeq 0.7408182207 ------------------------------------(2)

Now, since we are calculating  this for 4 months,

so, P(No collision in 4 month period)

     =0.7408182207^{4}

     \simeq 0.3012  -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

           P(X =1) = \frac{e^{-0.3}\times {\0.3}^{1}}{1!}


                      \simeq 0.2222454662 ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

                =0.2222454662^{2}

                \simeq 0.0494 -----------------------------------------(5)

1 collision in 6 months period means

                                \frac{1}{6} collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6]  (which is to be estimated)

=\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

\simeq 0.6543894283-------------------------------------------(6)

So,

P(1  collision in 6 month period)

  =  0.6543894283^{6}

   \simeq 0.0785267444 ------------------------------------------------(7)

So,

P(No collision in 6 months period)

  = (P(X =0)^{6}

   \simeq 0.1652988882 ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

\simeq  0.2438 ---------------------------------------------(9)          

7 0
3 years ago
What are the measures of the angles in the triangle?
Ierofanga [76]

Answer:

u need to put a picture so we know what your talking about

8 0
3 years ago
four friends attended a painting class together. They each paid for a ticket and $15 for food. At the end of the night, the tota
tigry1 [53]

Answer:

The answer is $36.25

Step-by-step explanation:

First minus $15 from $160

=145

second divide by the amount of friends which is four

so 145 divided by 4 equals 36.25

each ticket cost $36.25

6 0
2 years ago
You have been assigned a nine-digit identification number.
garik1379 [7]

Answer:

Step-by-step explanation:

A tree diagram? I don't think so. Probably it would take a year's supply of paper to record all the possibilities. The question really is do you allow duplications and is 0 allowed to be the first digit.

I would think that both are fine.

So the total number for this number would be 10^9. There probably some sort of algorithm to reduce the number and to check if it is a legitimate choice  for this number.

3 0
2 years ago
나<br> How do you do this
Ratling [72]

Answer:

나

I am correct

7 0
3 years ago
Read 2 more answers
Other questions:
  • What do you think you need to do to the
    6·1 answer
  • The sum of (2a + ab + 2b) + (4a2 - 3ab + 9)
    5·1 answer
  • 5(t+3)+2(3t+4)-(5t-3)
    10·2 answers
  • If two supplementaryangles are in the ratio 2:3, find the angles.
    14·1 answer
  • Frank can buy red pens in boxes of 8 and blue pens in boxes of 10. He wants the same number of red pens as blue pens. Fill in th
    8·1 answer
  • 6(-1/2)-2<br> I need work also
    11·1 answer
  • The graph of a 4th-degree polynomial is shown. How many real zeros does this function have?
    7·2 answers
  • The pay collected for working per hour is known as your hourly wage. It varies directly linearly with the hours that you work
    11·1 answer
  • Is it true that if one of the factors is 0, the product is 1?​
    5·2 answers
  • -
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!