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jasenka [17]
3 years ago
5

A model of an apartment is shown where 1/4 inch represent 3 feet in the actual ap

Mathematics
1 answer:
enot [183]3 years ago
8 0
Do you have a picture or anything?
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Find the distance between (2,3) (4, -7)<br><br> Find the distance between (-9,-4) (-3,6)
stealth61 [152]

Answer:

Find the distance between (2,3) (4, -7)

= 6

Find the distance between (-9,-4) (-3,6)

= -10

5 0
3 years ago
Read 2 more answers
The monthly output P of a light bulb factory is given by the formula P = 450LK, where L is the amount invested in labor and K th
Tems11 [23]

Answer:

C(p)  = 4,96 (in thousands of dollars)

l = 2980 $  invest in labor

k = 2980 $ invest in equipment

Step-by-step explanation:

Information we have:

Monthly output   P = 450*l*k       ⇒  k = P/450*l

But the production need to be 4000

Then k = 4000/450*l

Cost of production = l * k     (in thousands of dollars)

C(l)  =  l  + 4000/450*l

Taking derivatives (both members of the equation)

C´(l) = 1 - 400 /45*l²          ⇒ C´(l) = 0          ⇒ 1 - 400/45l²  = 0

45*l² -  400  = 0              ⇒  l²  = 400/45

l = 2.98 (in thousands of dollars)

l = 2980 $ And

k = 400/45*l           ⇒  k 400/45*2.98

k = 2.98  (in thousands of dollars)

C(p) = l + k

C(p)  =  2980 + 2980  

C(p)  = 5960 $

4 0
3 years ago
If the area of the rectangle is 42 square units, what is the area of the shaded part?
MArishka [77]

lol you also in mcp

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4 0
3 years ago
About 400,00 people visited the art museum in December. What could be the exact number of people who visited the art museum?
grigory [225]
400,000 people could be the exact number but i do not know
7 0
3 years ago
Hey!
noname [10]

Answer:

A. Cylinder + cone

<u>Volume is the sum of volumes:</u>

  • V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
  • V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³

<u>Surface area of cone:</u>

  • A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²

<u>Surface area of cylinder minus bases:</u>

  • A = 2πrh₂ = 2π*9*120 = 6785.8 cm²

<u>Total surface area:</u>

  • 678.6 + 6785.8 = 7464.4 cm²

-------------------------------------------------

B. Cube+ pyramid

<u>Volume:</u>

  • V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
  • V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³

<u>Surface area of pyramid:</u>

  • A = a² + 2al = 8² + 2*8*10 = 224 cm²

<u>Surface area of cube minus bases:</u>

  • A = 4a² = 4(8²) = 256 cm²

<u>Total surface area:</u>

  • A = 224 + 256 = 480 cm²
5 0
3 years ago
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