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liberstina [14]
3 years ago
9

34.5% change into a decimal

Mathematics
1 answer:
vekshin13 years ago
3 0

Answer: 0.345

Step-by-step explanation: 34.5% = 69/200 = 0.345

(Download Photomath)

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What is the exact value of sin(157.5°)?
goldfiish [28.3K]

Answer:

\frac{\sqrt{2 - \sqrt{2} } }{2}

Step-by-step explanation:

sin ^{2}  (157.5°)  =  1/2(1 - cos(2*157.5))

==>  1/2(1 - cos(315))

==>  1/2(\sqrt{2}   /2)

==>  (2 - \sqrt{2} ) / 4

sin(157.5°)  is in quadrant ll , meaning sin(157.5°) is greater than 0 , so we take positive square root of sin(157.5°)

sin(157.5) = \frac{\sqrt{2 - \sqrt{2} } }{2}

3 0
4 years ago
Write the rate and unit rate for each phrase given below.
Andrei [34K]
1) 80 inches of snow over 10 days
Rate: 80 inches of snow over 10 days
Unit rate: 8 inches of snow per day

2) 3 comic books for 3 dollars
Rate: 3 comic books for 3 dollars
Unit rate: $1 per comic book

3.) 5 pounds of potatoes cost $10
Rate: 5 pounds of potatoes cost $10
Unit rate: $2 for every pound of potatoes

Have a nice day!
-SpaceMarsh
3 0
3 years ago
If a box contains 4 bags of sugar and the total mass of all 4 bags is 6kg what is the mass if each bag in grams
Sidana [21]
24000 grams is your answer
7 0
3 years ago
montel sold 13 popcorn buckets and 13 fruit basket for a fundraiser .the fruit basket cost 20.75 each . if montel rasised a tota
neonofarm [45]
Total money made = money made off of the popcorn + money made off of the fruit
Total money made= # of popcorn buckets * cost of each bucket + # of fruit baskets * cost per basket
$468 = 13p + 13($20.75)
$468 = 13p + $269.75
13p = $198.25
Cost per popcorn bucket = $15.25
6 0
4 years ago
Read 2 more answers
ou have two parents, four grandparents, eight great-grandparents, and so forth. (a) If all your ancestors were distinct, what wo
Maslowich

Answer:

Part A:

2^{40}-2\\=1.0995*10^{12} ancestors

Part B:

Generations Age=25*39=975 years

Part C:

  1. Some ancestors on different branches of the family tree must be the same.
  2. There could not have been 39 generations in my line of ancestry.

Step-by-step explanation:

Given Data:

Two Parents, Four Grand Parents, Eight great Grand Parents.

Generation=39

Solution:

Part A:

From given data Following series is made:

2+2^2+2^3+.........+2^{39}

Now, Above series will become:

2[1+2+2^2+......+2^{38}]

From geometric Sequence:

2[\frac{2^{38+1}-1}{2-1} ]

2^{40}-2\\=1.0995*10^{12} ancestors

Part B:

Generations Age=years*Number of generations

Generations Age=25*39=975 years

Part C:

Number of people lived= 10^11

Ancestors=1.0995*10^{12} ancestors

10^{11}

It means ancestors are not distinct, it means:

  1. Some ancestors on different branches of the family tree must be the same.
  2. There could not have been 39 generations in my line of ancestry.
5 0
3 years ago
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