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serious [3.7K]
3 years ago
7

The area of the sector of a circle of radius r/2 and central angle 2θ is __________

Mathematics
1 answer:
olasank [31]3 years ago
6 0
S= 20/360 . Pi*(r square )
=0.055 * 3.14 * 4
= 0.7
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Carlo think he will go to the gym about 20 times a month.Calculate how much each of these options would cost carlo for one month
galben [10]

20 divided by 4 is 5 so

4$ will be for pay as you go.

5$ will be for regular deal

4+5=9 so the all in one deal is 9$

3 0
2 years ago
In is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says t
Y_Kistochka [10]

Answer:

A. $27.23

B. $467.77

Step-by-step explanation:

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Salesperson commission = 5 1/2%

Price of couch = $495

A. Amount earned by the salesperson = 5 1/2% of $495

= 5.5% × 495

= 0.055 × 495

= 27.225

Approximately

Amount earned by the salesperson = $27.23

B.How much money will the store get from the sale of the couch?

Amount the store get = Total price - amount earned by salesperson

= $495 - $27.23

= $467.77

8 0
3 years ago
The points A(1, 4), B(5,1) lie on a circle. The line segment AB is a chord. Find the equation of a diameter of the circle.
tangare [24]

Check the picture below.

well, we want only the equation of the diametrical line, now, the diameter can touch the chord at any several angles, as well at a right-angle.

bearing in mind that <u>perpendicular lines have negative reciprocal</u> slopes, hmm let's find firstly the slope of AB, and the negative reciprocal of that will be the slope of the diameter, that is passing through the midpoint of AB.

\bf A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}\implies \cfrac{-3}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{slope of AB}}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{\textit{\underline{negative reciprocal} and slope of the diameter}}{\cfrac{4}{3}}

so, it passes through the midpoint of AB,

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{5+1}{2}~~,~~\cfrac{1+4}{2} \right)\implies \left(3~~,~~\cfrac{5}{2} \right)

so, we're really looking for the equation of a line whose slope is 4/3 and runs through (3 , 5/2)

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{\frac{5}{2}}) \stackrel{slope}{m}\implies \cfrac{4}{3} \\\\\\ \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}{\cfrac{5}{2}}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3})\implies y-\cfrac{5}{2}=\cfrac{4}{3}x-4 \\\\\\ y=\cfrac{4}{3}x-4+\cfrac{5}{2}\implies y=\cfrac{4}{3}x-\cfrac{3}{2}

4 0
3 years ago
HELP PLZ!!! LOTS OF POINTS
Darya [45]

I'm going to assume that the ' 7.51 ' is the angle expressed in radians.
So this is just like any other unit conversion exercise.

You know that                  180 degrees = pi radians.

Divide each side by pi radians, and you have

                      180 degrees / pi radians = 1 .

Great !  Now take the angle you have ... 7.51 radians ...
and multiply it by ' 1 '.

      (7.51 radians) x (180 degrees / pi radians) =

<em>                              </em> (7.51 x 180 / pi) degrees =<em>  430.29 degrees</em>


As you ( I ) worked through this problem, a very useful number
fell out . . .  It's  180/pi  =  57.296 ,  or just  <em>57.3</em>  is close enough.

Here's how you can use that number:

-- 1 radian  =  <u>57.3</u>  degrees

-- 1 degree  =  1/57.3  of a radian

-- Got some radians ?  Multiply by  <u>57.3</u>  to get degrees.

-- Got some degrees ?  Divide by  <u>57.3</u>  to get radians.


7 0
3 years ago
PLEASE PLEASEE HELP PLEASE
Masteriza [31]
The anwser is B :)))))))
7 0
3 years ago
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