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Naddika [18.5K]
4 years ago
7

You are going to create a circle graph to represent some data. How many degrees should a section representing 65 out of a hundre

d be?
Mathematics
1 answer:
hjlf4 years ago
8 0

To figure out the degrees, you would create a ratio.

Since there are 360 degrees in your circle, that would be representative to 100 (because both are the total of what you want to find), and x would be representative to what degrees 65 is equal to.

your ratio should look like,

65/100=x/360

cross multiply and get

65(360)=100x

23400=100x

x=234


It looks hard to read like this, but if you write it out on your paper it should make more sense!

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Find the slope of the line graphed below.​
Finger [1]

to get the equation of any straight line, we simply need two points off of it, let's use the ones provided in the picture below.

(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{-7}{2}

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{7}{2}}(x-\stackrel{x_1}{1}) \\\\\\ y-4=-\cfrac{7}{2}x+\cfrac{7}{2}\implies y=-\cfrac{7}{2}x+\cfrac{7}{2}+4\implies y=-\cfrac{7}{2}x+\cfrac{15}{2}

8 0
2 years ago
If the square of a positive integer is added to four times to integer the result is 117 find the integer.
zaharov [31]

Answer:

x = -2 ± 452i

Step-by-step explanation:

x² + 4x = 117

x² + 4x - 117 = 0

if you solve this quadratic by using the quadratic formula you get:

x = -2 ± 452i

452i is an imaginary number that equals \sqrt{-452}

5 0
3 years ago
The sales tax rate for a local county is 8.7%. If an item costs $184 (before tax), how much sales tax will be due?
DiKsa [7]
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3 0
4 years ago
How many solutions does this equation have?<br> (15x + 21) / 3<br> = 5x + 7
Lesechka [4]

Answer:

3*(5*x-7)-(15*x-21)=0

Step-by-step explanation:

3 • (5x - 7) -  (15x - 21)  = 0

Step  2  :

Equation at the end of step  2  :

 0  = 0

Step  3  :

Equations which are always true :

7 0
3 years ago
Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)?
Viktor [21]

Answer:

B

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The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.

Since parallel lines have equivalent slopes, the answer is B.

5 0
2 years ago
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