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eimsori [14]
3 years ago
10

Plz help!

Mathematics
1 answer:
sattari [20]3 years ago
5 0

The angles converted to radian are as follows:

30° = 0.523599 rad

45° = 0.785398 rad

90° =  1.5708 rad

180° =  3.14159 rad

<h3 /><h3 /><h3>Degree to radian conversion:</h3>
  • 1 degree = 0.0174533 rad

Therefore,

a.

1° = 0.0174533 rad

30° = ?

cross multiply

angles in radian = 30 × 0.0174533 = 0.523599 rad

b.

1° = 0.0174533 rad

45° = ?

angles in radian = 45 × 0.0174533 = 0.785398 rad

c.

1° = 0.0174533 rad

90° = ?

angles in radian = 90 × 0.0174533 = 1.5708 rad

d.

1° = 0.0174533 rad

180° = ?

angles in radian = 180 × 0.0174533 = 3.14159 rad

learn more on radians: brainly.com/question/23649192?referrer=searchResults

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There are 10 true-false questions and 20 multiple choice questions from which to choose a five-question quiz how many ways can t
beks73 [17]

Answer:

In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions

Step-by-step explanation:

Given:

Number of True or false questions= 10

Number of multiple choice questions= 20

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How many ways can 5 questions can be selected if there must be at least three multiple choice questions =?

Solution:

Combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.  

The question States there sholud be ATLEAST 3 multiple choice question,

So, we may have

(3 Multiple choice question and 2 true or false question) or

(4 Multiple choice question and 1 true or false question) or

(5 Multiple choice question and 0 true or false question)

Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)

Required Number of ways =(\frac{20!}{20!(20-3)!}\times\frac{10!}{10!(10-2)!})+(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-1)!}) +(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-0)!})

Required Number of ways = ( 1140 x 42) + (4845 x 10) +(15504 x 1)

Required Number of ways = 47880+48450+15504

Required Number of ways = 68229

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3 years ago
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