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Anuta_ua [19.1K]
3 years ago
5

Find the area of the blue sector of the circle. Round to the nearest hundredth.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0
A diagram must be associated with the question above. Based on what I researched, this is what I got.

The blue sector of the circle is 120 degrees.

area of the blue sector = 1/3  of pi * 2^2
                                     = 4.19cm2

I hope this answer helps.
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Which equation describes this line (1,10) (-3,2)
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Find the slope first:
m=y2-y-1/x2-x1

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y=mx +b
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Rewrite the equation with your slope &intercept:

y=2x + 8

That's ^ the equation that describes your line!
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3 years ago
Take a square sheet of paper 20 cm by 20 cm, cut identical squares from each corner, and fold up the flaps to make a box (withou
iris [78.8K]

The maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper is 512cm³.

<h3>How to calculate the volume?</h3>

From the information, when the side of 1cm are cut, this will become an open box. The volume will be:

= 18 × 18 × 1

= 324cm³

Also, when 2cm is cut, the volume will be:

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3 0
2 years ago
Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
il63 [147K]

Answer:

The minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

Step-by-step explanation:

Given function is f(x) = 0.15(x + 1)^2 - 3

We need to find the maximum value or the minimum value for the function.

Now, differentiate f(x) = 0.15(x + 1)^2 - 3  w.r.t x.

f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\

f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)

Now, we will equate f'(x)=0 to find critical point.

0.3(x+1)=0\\x=-1

Plug this critical point in to the function f(x) = 0.15(x + 1)^2 - 3  we get,

f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3

Also, f''(x)=0.3 which is positive, We have minimum value.

So, the minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

7 0
3 years ago
Rather made a 10 to figure out sum for 9 + 3. Explain eathens thinking
Katarina [22]

Answer: to make it easier

Step-by-step explanation:

well 9+3=12 but taking 1 from the three and making ten then adding 2 is easier

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