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miv72 [106K]
2 years ago
10

Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.

Mathematics
1 answer:
PIT_PIT [208]2 years ago
3 0

Answer:  The approximate area of the circle is:  <span>3,629.84 cm² .</span>
______________________________________________________
Area of a circle, "A" :  A = π * r² ;

  in which: A = Area of circle ;
               π <span>≈ 3.14 ; 
</span>               r = radius; 

radius of a circle, "r" = d / 2  ;  in which:  "d = diameter" ;

Given "d = 64 cm " ; 
         
                       r = d / 2 = 64 cm / 2 = 32 cm ;
____________________________________________
   So;    A = π * r²  ;
 
            A ≈ (3.14) * (32 cm)² ;
 
            A ≈ (3.14) * (1156 cm²) ;
_____________________________________________

            A  ≈  3,629 .84 cm²  .
_____________________________________________
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Answer:

7.235 cm

Step-by-step explanation:

Pythagorean theory

A^2 + B^2 = C^2

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1 year ago
An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co
Blizzard [7]

Answer:

(a) C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2

    p(x)=320-7.7p

    R(x)=(320-7.7p)p=320p-7.7p^2

(b) x=82 \text{planes}

(c) p=\$30.91 M\;\; \text{per plane}

(d) maximum profit =\$ 15.90M

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

m(x)=20x-5x^{\frac{3}{4}}+0.01x^2

(a)  Find the cost, demand (or price), and revenue functions.

   C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2

   p(x)=320-7.7p

   R(x)=(320-7.7p)p=320p-7.7p^2

(b)  Find the production level that maximizes profit.

    f=R(x)-C(x)

 \Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)

\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx

     x=320-7.7p

     p=\frac{320-x}{7.7}

    \frac{dp}{dx} = \frac{-1}{7.7}

\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0

    \Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0

   \Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0

   \Rightarrow x=82 \text{planes}

(c)  Find the associated selling price of the aircraft that maximizes profit.

  p=\frac{320-82}{7.7}

\Rightarrow p=\$30.91 M\;\; \text{per plane}

(d)  Find the maximum profit.

Manufacturing cost of one plane is:

m(1)=20-5+0.01

         =\$15.01 M

maximum profit =\$(30.91-15.01)M

                           =\$15.90M

3 0
2 years ago
PLS Helps A box had a length of 23 foot, a width of 12 foot and a height of 2 feet. What is the volume of this box?
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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Answer:

GCF = 5

Step-by-step explanation:

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The common factors are 1, 5

Then GCF = 5

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