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3 years ago

Order the numbers from greatest to least. 44.012, 44.102, 44.120

Mathematics

2 answers:

Serga [27]3 years ago

6 0

They are already in greatest to least

Romashka-Z-Leto [24]3 years ago

3 0

Answer:

44.012,44.102,44.120

Step-by-step explanation:

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If θ is an angle in standard position and its terminal side passes through the point (-7,-5), find the exact value of cot ⁡ θ co

tresset_1 [31]

Plot the point (-7, -5). We are in quadrant 3.

We also know that tan θ = opp/adj.

Cot θ = adj/opp.

Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.

Look: (-7)^2 + (-5)^2 = r^2

If you should ever need to find r, do this:

(-7)^2 + (-5)^2 = r^2

(49) + 25) = r^2

74 = r^2

Take the square root on both sides of the equation to find r.

sqrt{74} = sqrt{r^2}

sqrt{74} = r

It is ok to simplify the sqrt{74} but not needed.

We now have the three sides of the triangle that is form in quadrant 3.

We can now read cot θ from the triangle itself.

So, cot θ = adj/opp = (-7)/(-5) or 7/5.

No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.

4 0

2 years ago

In one town, the number of pounds of sugar consumed per person per year has a mean of 8 pounds and a standard deviation 3 of 20

lesantik [10]

Answer:

c. 1.67 standard deviations above the mean

Step-by-step explanation:

The z-score measures how many standard deviations a score X is from the mean. It is given by the following formula:

$Z = \frac{X - \mu}{\sigma}$

In which $\mu$ is the mean and $\sigma$ is the standard deviation.

A positive z-score means that X is above the mean, and a negative Z-score means that X i below the mean.

In this problem, we have that:

$\mu = 8, \sigma = 3$

Tyler consumed 13 pounds of sugar last year How many standard deviations from the mean is that?

This is Z when X = 13. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{13 - 8}{3}$

$Z = 1.67$

So this is 1.67 standard deviations above the mean.

3 0

3 years ago

What is the value of X in this figure? Answers: 6 6√3 12√2 12√3

Lady bird [3.3K]

Answer:

$12\sqrt{2}$

Step-by-step explanation:

$\sqrt{12^2+12^2}$

$12^2+12^2=12^2\cdot \:2$

$\sqrt{12^2\cdot \:2}$

$\sqrt{2}\sqrt{12^2}$

$12\sqrt{2}$

4 0

3 years ago

What is 26.833 rounded to the nearest thousandth?

son4ous [18]

26.833 26.000 27.000 Answer 27.000

7 0

3 years ago

How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?

tatuchka [14]

So let’s simplify the given situation.
We need to find out how much heavier is 91/8 lbs. compare to 2 5/6 lbs.
Since, it’s a combination of whole number and fraction; we cannot directly subtract this given equation. We need to convert the two given number into a fraction.
9 1/8 = 8 x 9 = 72 + 1 = 73, 73 is our numerator and 8 is our denominator
=> 73/8
2 5/6 = 6 x 2 = 12 + 5 = 17, 17 is our numerator and 6 is our denominator
=> 17/6

Now, we have 2 fractions with unlike denominator. In order to get a common denominator, we have to find their least common factor.

=> 73 - 17 = 73 x 6 - 17 x 8 
 8 6 8 x 6 6 x 8
=> 438 – 136 Now, we have the same denominator, subtract
 48 48
=> 302 or 151
 48 24
=> 6 7
 24
Therefore 9 1/8 lbs. is 6 7/24 lbs. heavier than 2 5/6 lbs.

4 0

3 years ago