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Furkat [3]
3 years ago
10

The ratio of men to women working for a company is 2 to 3 . If there are 120 employees total, how many women work for the compan

y?
Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0
I think the answer is 20
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Write the equation of the circle below to complete the square. Also determine the area of the circle.
diamong [38]

Answer: (x-7)^2+(y+2)^2=11^2 ; A=121\pi

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

(x-a)^2+(y-b)^2=r^2

Begin by grouping the 'x' terms and 'y' terms:

(x^2-14x)+(y^2+4y-68)=0

Complete the square for the second polynomial:

(\frac{b}{2} )^2=(\frac{4}{2} )^2=4

(x^2-14x)+(y^2+4y+4-4-68)=0

(x^2-14x)+(y^2+4y+4)-4-68=0

(x^2-14x)+(y^2+4y+4)-72=0

(x^2-14x)+(y+2)^2-72=0

Do the exact same process with the other polynomial:

(x^2-14x-72)+(y+2)^2=0

Complete the square:

(\frac{14}{2} )^2=49

(x^2-14x+49-49-72)+(y+2)^2=0

(x^2-14x+49)-49-72+(y+2)^2=0

(x^2-14x+49)-121+(y+2)^2=0

(x-7)^2-121+(y+2)^2=0

Bring the 121 to the other side to get:

(x-7)^2+(y+2)^2=121

(x-7)^2+(y+2)^2=11^2

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

A=\pi r^2=121\pi

8 0
1 year ago
Product in standard form (explain)<br> (3+6i)(4+9i)
ololo11 [35]
First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.

so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i 
6i x 4= 24i
6i x 9i= 54i^2 

after  you've done this you can move on to  putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:

54i^2+51i+12


4 0
3 years ago
0401) Which unitrate is equivalent to 17 miles per gallon
Dimas [21]

51 is the answer

hope its help

6 0
2 years ago
Explore the area of sectors of circles by following these steps.
Nezavi [6.7K]

Answer: 9pi

Step-by-step explanation:

8 0
2 years ago
Need answer 25 and answer 27
UNO [17]

\\ \bull\tt\dashrightarrow \dfrac{-3}{8}x-20+2x>6

\\ \bull\tt\dashrightarrow \dfrac{-3}{8}x+2x=6+20=26

\\ \bull\tt\dashrightarrow \dfrac{-3+16}{8}x=26

\\ \bull\tt\dashrightarrow \dfrac{13}{8}x=26

\\ \bull\tt\dashrightarrow x=26\times \dfrac{8}{13}

\\ \bull\tt\dashrightarrow x=8(2)=16

#27

\\ \bull\tt\dashrightarrow 0.5x-4-2x\leqslant 2

\\ \bull\tt\dashrightarrow 0.5x-2x\leqslant=2+4=6

\\ \bull\tt\dashrightarrow -1.5x\leqslant 6

\\ \bull\tt\dashrightarrow x\leqslant\dfrac{6}{-1.5}

\\ \bull\tt\dashrightarrow x\leqslant 4

8 0
3 years ago
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