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Bingel [31]
3 years ago
13

Rewrite as a simplified fraction 2.16 <-- repeating =?

Mathematics
1 answer:
slava [35]3 years ago
8 0
x=2.161616...=2.\overline{16}=2.(16)\\\\x=2.161616....\ \ \ \ |multiply\ both\ sides\ by\ 100\\100x=216.161616...\\\\100x-x=216.161616...-2.161616...\\99x=214\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=\frac{214}{99}\\\\x=\frac{198+16}{99}\\\\x=\frac{198}{99}+\frac{16}{99}\\\\\boxed{x=2\frac{16}{99}}
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Can someone help me with this question please! I have nooo idea how to complete it!
natulia [17]

Answer:

y = 3\sqrt{2} + 4

Step-by-step explanation:

Create 2 equations using values from the table to find a and b.

Using (0, 10), then

10 = acos0° + b ( cos0° = 1 ), thus

a + b = 10 → (1)

Using (90, 4), then

4 = acos90° + b ( cos90° = 0 ), thus

b = 4

Substitute b = 4 into (1)

a + 4 = 10 ( subtract 4 from both sides )

a = 6

Thus

y = 6cosx° + 4

When x = 45°, then

y = 6cos45° + 4 = 6 × \frac{\sqrt{2} }{2} + 4 = 3\sqrt{2} + 4

6 0
3 years ago
Read 2 more answers
1. Identify the DEPENDENT VARIABLE in the testable
MAVERICK [17]

To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.

In a research study, there are typically two main variables that direct the scientific enquiry. They are:

  • Dependent Variable, and
  • Independent Variable

The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the <em>effect</em>, the independent variable is the <em>cause </em>of the change.

It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.

For example, let's say the topic of a research is: <em>The Impact of Sunlight on Germination Rate of Seedlings.</em>

Here, <em>Sunlight </em>is the independent variable affecting <em>Germination Rate</em>.

The dependent variable here would be: <u><em>Germination Rate.</em></u>

Therefore, to identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.

Learn more here:

brainly.com/question/24657192

5 0
3 years ago
YOOOOOOOO A MILLION POINTS FOR EVA DOES THIS :POG:
Oksi-84 [34.3K]

Answer:

∆WUV⁓∆SRT

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Pond 1 contains 100 fish, 50 of which are tagged. Pond 2 contains 1000 fish, 500 of which are tagged. You catch 10 fish from eac
Galina-37 [17]

Answer:

c

Step-by-step explanation:

there is a 50/50 chance for each one

5 0
3 years ago
40 out of 50 birds are female. total number of birds is 1,120, how many of them would be female
Bezzdna [24]

Answer:

896

Step-by-step explanation:

40/50 = 80%

80% of 1120 is 896

7 0
3 years ago
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