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Lilit [14]
3 years ago
7

Find the area of a regular nonagon with a side length of 9 and an apothem of 16

Mathematics
1 answer:
Sever21 [200]3 years ago
6 0
Idk if i'm exactly right but i think it's 500.73
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What is the unit price for the cans of lemonade at each of the stores. The store prices are 3 for 9$
11Alexandr11 [23.1K]
9$ for three cans then 9/3= 3 $ per can
3 0
2 years ago
What is 28% of $1.00
Mazyrski [523]
28% of 1.00 = 28
To get your answer, multiply .28 * 100.
28% of $1.00 = 28 cents. 
8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!! (ALGEBRA II)
qwelly [4]

Answer:

-4     4     4.5     8     20.5     32

Step-by-step explanation:

f$ \circ  $ g(x) = f(g(x))

Given,   f(x) = 2x²

and       g(x) = x - 2

Now f(g(x)) = f(x - 2) = 2(x - 2)²

We know that (a - b)² = a² - b² + 2ab

Using this we expand f(g(x)). We get:

                        f(g(x)) = 2{x² - 4x + 4}

Similarly,        g(f(x)) = g(2x²) = 2x² - 2

Now, f(g(-2))    = 2[(-2)² - 4(-2) + 4]     = 2(16)                           = 32.

Also, g(f(-2))   = 2[(-2)² - 2]                = 2(2)                             = 4.

f(g(3.5))  = 2{(3.5)² -4(3.5) + 4} = 2[12.25 - 14 + 4] = 2(2.25)    = 4.5.

g(f(3.5))  = 2{(3.5)² -2} = 2{12.25 - 2}                     = 2(10.25)   = 20.5.

f(g(0))     = 2{0 - 4(0) + 4}  = 2(4)                                               =  8.

g(f(0))     = 2{0 - 2}                         = 2(-2)                                 = -4.

Arranging them in ascending order, we get:

-4     4     4.5     8     20.5     32 would be the sequence.

5 0
3 years ago
The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.
andrezito [222]

Answer:

Given the equation: 3x^2+10x+c =0

A quadratic equation is in the form: ax^2+bx+c = 0 where a, b ,c are the coefficient and a≠0 then the solution is given by :

x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a} ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}

Simplify:

x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}

Also, it is given that the difference of two roots of the given equation is 4\frac{2}{3} = \frac{14}{3}

i.e,

x_1 -x_2 = \frac{14}{3}

Here,

x_1 = \frac{-10 + \sqrt{100- 12c}}{6} ,     ......[2]

x_2= \frac{-10 - \sqrt{100- 12c}}{6}       .....[3]

then;

\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}

simplify:

\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}

or

\sqrt{100- 12c} = 14

Squaring both sides we get;

100-12c = 196

Subtract 100 from both sides, we get

100-12c -100= 196-100

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve x_1 , x_2

x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}

or

x_1 = \frac{-10 + \sqrt{100- 96}}{6} or

x_1 = \frac{-10 + \sqrt{4}}{6}

Simplify:

x_1 = \frac{-4}{3}

Now, to solve for x_2 ;

x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}

or

x_2 = \frac{-10 - \sqrt{100- 96}}{6} or

x_2 = \frac{-10 - \sqrt{4}}{6}

Simplify:

x_2 = -2

therefore, the solution for the given equation is: -\frac{4}{3} and -2.


3 0
2 years ago
7) Mary wants to make several cans that have a radius of 3 and height of 5. She is going to cut them from a sheet of metal that
kati45 [8]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
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