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irga5000 [103]
3 years ago
7

Which statements are true about the decimal 0.4 and 0.06

Mathematics
1 answer:
forsale [732]3 years ago
7 0

None of the statements seem to be true. Essentially, the following should be true

0.4>0.06 because 4/10 > 6/100

0.4 > 0.06 because 4 tenths is greater than 6 hundredths

Step-by-step explanation:

To decide which decimal number is bigger, we first check the whole numbers (on the left of the decimal point). If the whole numbers are similar we move to the tenths number (on the right of the decimal point)

We compare the tenths numbers. Whichever has the greatest number is the greater of th two decimal numbers.

If the tenths numbers are similar, we move to the hundredths. The one with the largest number is the greater of the two.

If they are similar we move to the thousandths number and so on...

until we can resolve the two numbers

Learn More:

For more on comparing decimals check out;

brainly.com/question/2447808

brainly.com/question/11951473

#LearnWithBrainly

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Lunna [17]
I hope this helps you

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Use mathematical induction to prove that the statement is true for every positive integer n. Show your work. 2 is a factor of n2
Lady_Fox [76]
Let n = 1
then f(1) = 1^1 - 1 + 2 = 2   so it is true for n = 1
for the next number  after n   ( n+1) we have  f(n+1) =
 (n+1)^2  - (n+1) + 2 

= n^2 + 2n + 1 - n - 1 + 2 

= n^2 + n + 2 

= n(n+1) + 2

Now n(n+1) must be divisible by 2  because  either n is odd and n+1 is even OR n is even and n+1 is odd   and odd & even always = an even number.

So the function is divisible by 2  for n+1   We have shown that its true for n = 1 Therefore it must be true for n = 1,2,3,4 ... 
True for all  positive integers


3 0
3 years ago
Which formula is correct in computing 50% of the volume of the shape below?
elixir [45]

Answer:

D

Step-by-step explanation:

volume of a cylinder:  V=πr^2h

so for 1/2 volume we can just multiply by 1/2

so

V = 1/2 (πr^2h)

plug in values r = 4.6 and h = 12.4

V= 1/2 π (4.6)^2 (12.4)

so the answer is D

8 0
3 years ago
Help please for 13 coins
taurus [48]

Answer:

-146.03008

Step-by-step explanation:

(-8.149)(17.92) = -146.03008

5 0
2 years ago
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Describe three ways to determine the measure of segment YZ.
IgorLugansk [536]

Using 3 different methods, we can find that YZ = 25m

For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations

sin(θ) = (opposite cathetus)/H

cos(θ) = (adjacent cathetus)/H

tan(θ) = (opposite cathetus)/(adjacent cathetus)

Now, in the given image we can see that:

θ = 30°

H = 50m

XY = adjacent cathetus

YZ = opposite cathetus.

We want to find YZ, so with the known things, we can use the first relation:

sin(30\°) = YZ/50m

sin(30\°)*50m = YZ = 25m

Now let's try another way.

We know that the sum of the internal angles of a triangle is always equal to 180°

In a triangle rectangle, we always have an angle equal to 90°.

Then the missing angle for our triangle can be computed from:

Z + 90° + 30° = 180°

Z = 180° - 90° - 30° = 60°

From this angle, the side YZ is the adjacent cathetus, then we can use the second trigonometric relation:

cos(60\°) = YZ/50m\\cos(60\°)*50m = YZ = 25m\\

Third way.

Whit the same angle we could find the side XY, the opposite cathetus, with:

sin(60\°) = XY/50m \\sin(60\°)*50m = XY = 43.3m

Now that we know one of the catheti, we can use the last trigonometric relation

tan(60\°) = XY/YZ = 43.3m/YZ \\YZ = 43.3m/tan(60\°) = 25m\\

If you want to learn more about triangle rectangles, you can read:

brainly.com/question/24330420

7 0
3 years ago
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