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rosijanka [135]
3 years ago
9

HELP IM GIVING A Brainliest FAST FAST

Mathematics
1 answer:
erica [24]3 years ago
5 0

Answer:

The answer is C because g is the farthest so a 180 degree angle

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15 points! The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming magazine. The re
vladimir2022 [97]

Answer:

Step-by-step explanation:

a). Mean of the given data set = \frac{32+28+18+40+22}{5}

                                                  = 28

b).   x                     x-\overline{x}               (x-\overline{x})^2

     32          32-28 = 4                    16

     28          28 - 28 = 0                  0

     18           18 - 28 = -10                100

     40          40 - 28 = 12                 144

     22          22 - 28 = -6                 36

                                                 \sum({x-\overline x})^2 =  296          

c). Standard deviation = \sqrt{\frac{\sum (x-\overline{x})^2}{n}}

                                     = \sqrt{\frac{296}{5} }

                                     = 7.69

d). Mean of the new set of weights = \frac{32+33+34+35+36}{5}

                                                          = 34

   Since mean of the data set is more close to each data, standard deviation will be less than the deviation given in part (c).

7 0
3 years ago
1. Find a. The length of side
RideAnS [48]
Are you good at math
5 0
3 years ago
С
mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
3 years ago
Should politics discuss whether women can get abortion??? Why or why not????
Doss [256]

Answer:

yes

Step-by-step explanation:

i am young but I think they should because they discuss if it's legal to abort a human life or not. there's lots of debates on why it's good or bad

8 0
3 years ago
Read 2 more answers
A circle has the equation 2x²+12x+2y²−16y−150=0.
KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

(x-h)^{2} +(y-k)^{2}=r^{2} (1)

Where (h,k) are the coordinates of the center and r is the radius.

Now, we are given the equation of this circle as follows:

2x^{2}+12x+2y^{2}-16y-150=0 (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

2(x^{2}+6x+y^{2}-8y-75)=0 (3)

Rearranging the equation:

x^{2}+6x+y^{2}-8y=75 (4)

(x^{2}+6x)+(y^{2}-8y)=75 (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of (a\pm b)^{2}=a^{2}\pm+2ab+b^{2}:

<u>For the first parenthesis:</u>

x^{2}+6x+b^{2}

We can rewrite this as:

x^{2}+2(3)x+b^{2}

Hence in this case b=3 and b^{2}=9:

x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}

<u>For the second parenthesis:</u>

y^{2}-8y+b^{2}

We can rewrite this as:

y^{2}-2(4)y+b^{2}

Hence in this case b=-3 and b^{2}=9:

y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}

Then, equation (5) is rewritten as follows:

(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16 (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

(x-3)^{2}+(y-4)^{2}=100 (7)

At this point we have the circle equation in the center radius form (x-h)^{2} +(y-k)^{2}=r^{2}

Hence:

h=-3

k=4

r=\sqrt{100}=10

8 0
3 years ago
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