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Vinil7 [7]
3 years ago
13

Convert the angle \theta=100^\circθ=100 ∘ theta, equals, 100, degree to radians. Express your answer exactly.

Mathematics
1 answer:
Tresset [83]3 years ago
6 0

Answer:

5pi/9 radians

Step-by-step explanation:

2 pi radians = 360 deg

pi radians = 180 deg

100 deg * pi rad/(180 deg) = 10/18 pi rad = 5/9 pi rad = 5pi/9 radians

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The scale of a map is 1 inch : 9.5 miles.
DedPeter [7]

Answer:

  • 2.526 in
  • 4.211 in

Step-by-step explanation:

To find the number of inches, divide miles by 9.5.

__

a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in

__

b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in

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Comment on units conversion

I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.

The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.

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Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".

  map inches/ground miles = 1/9.5 = x/24

  route inches/scale inches = route miles/scale miles = x/1 = 24/9.5

6 0
3 years ago
Answer the following. Solve for X
KiRa [710]

Answer:

x = 7

Step-by-step explanation:

3+16x = 6x+8+65\\3+16x=6x+73\\10x=70\\x=7

3 0
3 years ago
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Which fraction is equivalent?<br> 1/6 5/30 6/30
gogolik [260]
1/6 and 5/30 are equivalent. They are equivalent because is you divide 5/30 by 5, you will get 1/6.
Hope this helps!
8 0
3 years ago
Read 2 more answers
What is the answer to 0.10*200
stealth61 [152]
20 helped you well.
4 0
3 years ago
Megan uses 2/3 cups of almonds to make 4 cups of trail mix. Using the same ratio, how many cups of almonds would megan need to m
lakkis [162]
1 and 1/2 
9 divided by 4 = 2.25
2.25x2/3=1 1/2
3 0
3 years ago
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