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Leona [35]
3 years ago
7

What is 685 ÷ 49 in long division?

Mathematics
2 answers:
Annette [7]3 years ago
7 0
<span>685 ÷ 49 in long division is 131 with the remainder of 5. Hope this helps!

*Decimal form= </span>13.9795918367*
34kurt3 years ago
3 0
The answer to 685 divided by 49 = 13.979
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The figure shown below is composed of a semicircle and a non-overlapping equilateral triangle and contains a hole that is also c
Sloan [31]

Check the picture below.

since we know the radius of the larger semicircle is 8, thus its diameter is 16, which is the length of one side of the equilateral triangle.  We also know the smaller semicircle has a radius of 1/3, and thus a diameter of 2/3, namely the lenght of one side of the small equilateral triangle.

now, if we just can get the area of the larger figure and the area of the smaller one and subtract the smaller from the larger, we'll be in effect making a hole/gap in the larger and what's leftover is the shaded figure.

\bf \stackrel{\textit{area of a semi-circle}}{A=\cfrac{1}{2}\pi r^2\qquad r=radius}~\hspace{10em}\stackrel{\textit{area of an equilateral triangle}}{A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\stackrel{side's}{length}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\left[ \stackrel{\textit{larger figure}}{\cfrac{1}{2}\pi 8^2~~+~~\cfrac{16^2\sqrt{3}}{4}} \right]\qquad -\qquad \left[ \cfrac{1}{2}\pi \left( \cfrac{1}{3} \right)^2 +\cfrac{\left( \frac{2}{3} \right)^2\sqrt{3}}{4}\right]}

\bf \left[ 32\pi +64\sqrt{3} \right]\qquad -\qquad \left[ \cfrac{\pi }{18}+\cfrac{\frac{4}{9}\sqrt{3}}{4} \right] \\\\\\ \left[ 32\pi +64\sqrt{3} \right]\qquad -\qquad \left[ \cfrac{\pi }{18}+\cfrac{\sqrt{3}}{9} \right]~~\approx~~ 211.38 - 0.37~~\approx~~ 211.01

3 0
4 years ago
For all values of x,<br>f(x) = x^2 + 3x and g(x) = x - 4<br>Show that fg(x) = x^2 - 5x + 4​
Westkost [7]

Answer:

f(g(x)) =  x² - 5x +4

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that the functions

         f(x) = x² + 3 x   and g(x) = x-4

     f(g(x)) = f(x -4)   (∵ g(x) = x-4)

              = (x-4)² + 3(x-4)

              = x² - 2(4)x + 4² + 3x -12

             = x² - 8 x + 16 + 3x -12

             = x² - 5x +4

∴ f(g(x)) =  x² - 5x +4

4 0
3 years ago
Choose the correct answer below.
Bumek [7]

Answer:

B. Descriptive statistics describes sets of data. Inferential statistics draws conclusions about the sets of data based on sampling.

Step-by-step explanation:

Let's explain on why the others are not,

A. Descriptive statistics is a characteristic or property of an individual experimental unit. Inferential statistics is the process used to assign numbers to variables of individual population units.

Descriptive statistics needs a set of data, not just an individual experimental unit, since it uses statistical methods like tendency, mean, median, mode, dispersion ranges, deviation, etc. That cannot be gathered from an individual set unit. In the same way, Inferential statistics, is about using a sample of data to infer, as the name says, behavior of larger groups, it doesn't assign numbers or variables, it studies behavior of samples, that being said, a variable might be "assigned" by testing an hypothesis, yet not from an unit, but from a set.

C. Descriptive statistics draws conclusions about the sets of data based on sampling. Inferential statistics summarizes the information revealed in data sets.

It is the complete oposite, Descriptive Statistics (DS), studies data to represent numerical analysis in charts and graphs, but not samples. While Inferential Statistics (IS), is about samples, and how they COULD represent a larger group.

D. Descriptive statistics are measurements that are recorded on a naturally occurring numerical scale. Inferential statistics are measurements that cannot be measured on a natural number​ scale; they can only be classified into one of a group of categories.

In IS, its not that the measurements cannot be measured on a natural number scale, it is that the size of the date is too large, so it needs to be broken down in order to be studied, it can have several categories but a smaller data set (thus a sample)

5 0
3 years ago
How many times greater is the value of the digit 8 in 82.77 than the value of the digit 8 in 20.18
Kitty [74]

Answer:

Option 3. 1,000 times

Step-by-step explanation:

we know that

The value of digit 8 in 82.77 is equal to 80

The value of digit 8 in 20.18 is 0.08

so

Divide 80 by 0.08

80/0.08=1,000 times

3 0
3 years ago
What is the lead coefficient of this polymomial?
Nikolay [14]

Answer:

5 is the leading coefficient

4 0
3 years ago
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