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Aleks04 [339]
3 years ago
5

Please help!!!!!!!!!!

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer:

\large\boxed{a=4\sqrt3}

Step-by-step explanation:

We have the triangle 30° - 60° - 90°.  In that triangle sides are in proportion

1 : √3 : 2 <em>(look at the picture).</em>

<em />

We have

a\sqrt3=12         <em>multiply both sides by √3   (use √a · √a = a)</em>

3a=12\sqrt3       <em>divide both sides by 3</em>

a=4\sqrt3

b=2a\to b=2(4\sqrt3)=8\sqrt3

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5 0
3 years ago
In the figure below AB is a diameter of circle P. What is the arc measure of minor arc AC in degrees? ​
arlik [135]

Answer:

P = 139

Step-by-step explanation:

See attachment for complete question

Required

Determine measure of Arc length AC

The interpretation of this question is to find P

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P + 41 - 41= 180 - 41

P = 139

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3 years ago
A scientist has 2/3 of liter of solution. He uses 1/2 of the solution of the solution for an experiment.
Ede4ka [16]
Remember,
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3 years ago
Read 2 more answers
From a group of 13 women and ​12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can
Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

                                                     ∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

        = 13!/5!.8!

        = 1287

12C₈ = 12!/(12₋8)! 8!

        = 12!/5! 8!

        = 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

brainly.com/question/11732255

#SPJ10

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2 years ago
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Kisachek [45]
The answer is 10 dollars
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