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Lunna [17]
3 years ago
11

Why the fraction equivalent of 0.1 is 1/10?

Mathematics
2 answers:
Dahasolnce [82]3 years ago
4 0

Answer:

It is equivalent because of the way you solved it.

Step-by-step explanation:

Maurinko [17]3 years ago
3 0

Answer:

To try to explain, I’m going to give you a new way to read fractions. For a/b, say “b of them make a”. For example, 1/3 is “3 of them make 1”, because 1/3+1/3+1/3=1. 2/7 is “7 of them make 2”, because 2/7+2/7+2/7+2/7+2/7+2/7+2/7=2. This works for whole numbers a and b.

You can change the numbers like so: “3 of them make 1” is the same as “6 of them make 2”, and so 1/3=2/6. Similarly “7 of them make 2” is the same as “14 of them make 4” so 2/7=4/14. “2 of them make 12” is the same as “1 of them makes 6”, so 12/2=6/1=6.

Now 1/0.1 is “0.1 of them make 1”. Whatever “they” are, you only need 0.1 of them to make 1, so “they” must be bigger than 1. How much bigger? Following the pattern, “0.1 of them make 1” is the same as “0.2 of them make 2”, “0.5 of them make 5”, and “1 of them makes 10”. So 1/0.1=10

Step-by-step explanation:

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Why is the - sin of x the same as the sin of -x?
Neko [114]

Answer:

Sine is an odd function and presents positive values in the 1st and 2nd quadrants and negative values in the 3rd and 4th quadrants.

Step-by-step explanation:

-sin(x) = sin(-x)

This property is valid because the sine trigonometric function presents positive values in the first two quadrants and negative values in the third and fourth quadrants. The sine function is an odd function with symmetry with respect to the origin, which means that sin(x) and sin(-x) will always present opposite signs.

3 0
3 years ago
Consider f(x)=x+7 and g(x)=x^2-1 find (g of f)(x)
finlep [7]

Answer:

g(f(x))=x^2 + 14x + 48

Step-by-step explanation:

you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.

6 0
3 years ago
Read 2 more answers
In the triangle below,
defon

Answer: y ≈ 10.6 cm

Step-by-step explanation:

The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.

cos(20°) = (10 cm)/y

y = (10 cm)/cos(20°)

y ≈ 10.6 cm

3 0
3 years ago
A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function
Greeley [361]

Answer:

In words the answer is between t=0 and t=2.

In interval notation the answer is (0,2)

In inequality notation the answer is 0<t<2

Big note: You should make sure the function I use what you meant.

Step-by-step explanation:

I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.

So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.

0=-16t^2+32t

0=-16t(t-2)

So at t=0 and t=2

So the ball is in the air between t=0 and t=2

Interval notation (0,2)

Inequality notation 0<t<2

6 0
3 years ago
Read 2 more answers
a company pays its salespeople $2,000 a month and a commission of 18% of their total sales (T). which of the following equations
SSSSS [86.1K]

Answer:

2,360

Step-by-step explanation:

18% of 2,000 is 360

(0.18)*(2,000)=360

2,000 + 360 = 2,360

7 0
3 years ago
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