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alukav5142 [94]
3 years ago
9

Which decimal is equal to 2/5 0.6 0.15 0.2 0.3 0.4

Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0
The fraction 2/5 is equivalent to the decimal 0.4
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One less than a number, which is then divided by 5, is -7. What is the number?
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-7*5=-35

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1/16

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3 years ago
Tammy figured her math exam would be difficult unless she put in at
Ludmilka [50]

Answer: No, she did not study for at least 15 hours.

=======================================================

Explanation:

Fractions are often a pain, so I find it easier to convert to decimal form whenever possible.

1/2 = 0.5

3/4 = 0.75

which lead to,

2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

4 & 3/4 = 4 + 3/4 = 4 + 0.75 = 4.75

4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

-----------------------------

We can then rephrase the problem like so:

"She studied 2.5 hours on Monday, 3 hours on Tuesday, 4.75 hours on Wednesday, and 4.5 hours on Thursday"

Add up those decimal values to get:

2.5 + 3 + 4.75 + 4.5 = 14.75

In total, Tammy studied for 14.75 hours, which is equivalent to 14 & 3/4 hours.

This result is smaller than 15, so she did <u>not</u> study for at least 15 hours.

Note: "at least 15" is the same as saying "15 or more".

6 0
3 years ago
Solution please! explain clearly​
natali 33 [55]

Answer:

  2

Step-by-step explanation:

For some angle "a", the sine and cosine are related by ...

  sin(a) = cos(π/2 -a)

That is,

  sin(7π/16) = cos(π/16)

  sin(5π/16) = cos(3π/16)

__

Then your sum becomes ...

  sum = sin(π/16)² +sin(3π/16)² +cos(3π/16)² +cos(π/16)²

If we let α = π/16 and β = 3π/16, this can be written as ...

  sum = (sin(α)² +cos(α)²) +(sin(β)² +cos(β)²)

  sum = 1 + 1

  sum = 2

__

The identity sin(α)² +cos(α)² = 1 is sometimes called the Pythagorean identity.

6 0
3 years ago
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