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n200080 [17]
3 years ago
11

Convert the following repeating decimal into a fraction _ 0.16

Mathematics
1 answer:
butalik [34]3 years ago
4 0

Answer:  <em>0.16 converted to a fraction is</em> 4/25

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Please answer the question in the picture below. Thanks!
Arada [10]

Answer:

Yes

Step-by-step explanation:

\frac{DH}{HE}=\frac{18}{36}=\frac{1}{2}

\text{This means that } DH=\frac{1}{2}HE

and thus the given segments are parallel by the converse of the triangle proportionality theorem.

4 0
2 years ago
Josh estimates the height of his desk. what is the reasonable estimate?…
Ugo [173]
I cant answer if there is no info
5 0
3 years ago
Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)
Amanda [17]

Answer:

f_x(x,y,z)=4\sin (y-z)

f_x(x,y,z)=4x\cos (y-z)

f_z(x,y,z)=-4x\cos (y-z)

Step-by-step explanation:

The given function is

f(x,y,z)=4x\sin (y-z)

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

f_x(x,y,z)=4(1)\sin (y-z)

f_x(x,y,z)=4\sin (y-z)

Differentiate partially w.r.t. y and x, z are constants.

f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)

f_y(x,y,z)=4x\cos (y-z)

Differentiate partially w.r.t. z and x, y are constants.

f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)

f_z(x,y,z)=4x\cos (y-z)(-1)

f_z(x,y,z)=-4x\cos (y-z)

Therefore, the first partial derivatives of the function are f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z).

4 0
3 years ago
Is 2/13 a repeating decimal
Cloud [144]

The denominator 13 cannot be factored so that only 2's and 5's show up, so this means that 2/13 is a non-terminating decimal. Therefore, this decimal repeats itself

Use a calculator to see that: 2/13 = 0.153846  153846  153846 ....

The spaces are put in to help make the number more readable. Note how the "153846" keeps repeating forever

8 0
4 years ago
Eighth grade
Ymorist [56]

Answer:

b = 1

Step-by-step explanation:

Given the equation is:

- 5b + 2b - (-b) + 7 = 5

We separate the terms of b and the constants. To do that we subtract 7 from both the sides. We get:

- 5b + 2b - (-b) + 7 - 7 = 5 - 7

⇒ - 5b + 2b - (-b) = - 2

Now, simplifying the terms with 'b'.

⇒ -5b + 2b + b = - 2

⇒ (-5 + 2 + 1)b = - 2

⇒ -2b  = -2

Dividing both the sides by -2, we get:

b = 1 which is the required answer.

7 0
3 years ago
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