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nexus9112 [7]
3 years ago
8

best answer will be awarded the brainliest and 5 stars please evaluate 6/2 and remember to show your work

Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0
6/2 is the number 6 being divided in half by 2; to figure this out just count your 2 table factors! Shown work:

2 x 2 = 4
2 x 3 = 6!

So 6 divided by 2 (6/2) is just the oppoposite of 2 x 3 = 6
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krok68 [10]
My answer would be (0,5) because that seems to be where this scatter plot starts.

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2 years ago
Calculate the perimeter of this shape.
aleksandrvk [35]

Step-by-step explanation:

Hello there!

Again, just double the given sides.

20+38=58 cm

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8 0
3 years ago
If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24
VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let r be the radius and \theta be the angle of a circle.

According with the graph, the area of the sector is given by

A=\frac{1}{2}r^2\theta

The arc lenght of a circle with radius r and angle \theta is r \theta

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

2r+r\theta=24 \:in

We need to express the area as a function of one variable, to do this we use the above equation and we solve for \theta

2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}

Next, we substitute this equation into the area equation

A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2

The domain of the area is

0

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r

12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6

To check if r=6 is a maximum we use the Second Derivative test

if f'(c)=0 and f''(c), then f(x) has a local maximum at x = c.

The second derivative is

\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2

Because A''(r)=-2 the largest slice is when r = 6 in.

The diameter of the pizza is given by

D=2r=2\cdot 6=12 \:in

A 12 in diameter will reward you with the largest slice of pizza.

3 0
3 years ago
A fraction reduces to 36. If its denominator is 6x^5, what it's its numerator?
earnstyle [38]
The answer is B because you will  cancel the x^5 part on top and bottom and the numerator left 6^3 and denominator left 6
6^3=216divid by 6 you will get 36
6 0
3 years ago
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Find the area of the trapezoid answers 30 , 60 , 90 , 120
olga nikolaevna [1]
There is no picture to be solved
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3 years ago
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