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EastWind [94]
3 years ago
6

I need help please!!!

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

a lot

Step-by-step explanation:

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a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di
Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}

Thus, the total prototypes will cost around $60.75

7 0
1 year ago
Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in her wallet wh
babunello [35]

Answer:

The amount of CD's she could buy would be 3.

Step-by-step explanation:

80-20=60

60÷18 = 3 CD's

4 0
3 years ago
Read 2 more answers
for every 30 minutes of TV air time there are 8 minutes of commercial. If 90 minutes of TV or are now how many how many minutes
Anna35 [415]

Let m = minutes of commercial


30/90 = 8/m


Solve for m.


90(8) = 30m


720 = 30m


720/30 = m


24 = m

7 0
3 years ago
Read 2 more answers
Help I do not know how do you do this ?
aliya0001 [1]
m\angle LKJ=360-m\angle KJM-m\angle JML-m\angle MLK\\
m\angle LKJ=360-132-48-m\angle MLK\\
m\angle LKJ=180-m\angle MLK\\\\
m\angle MLK=180-m\angle KLN\\
m\angle MLK=180-150\\
m\angle MLK=30^{\circ}\\\\
m\angle LKJ=180-30\\
\boxed{m\angle LKJ=150^{\circ}}
6 0
3 years ago
What is the sum of the two Numbers? Pls help
vaieri [72.5K]
Well the word “sum” means to add.
Other than that good luck.
7 0
3 years ago
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