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jok3333 [9.3K]
3 years ago
14

Arc measure with equations

Mathematics
1 answer:
Alona [7]3 years ago
7 0

Answer:131

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
Linear equation: -1
Anika [276]

Answer:

The right answer is:

the addition property of equality and then the division property of equality

Step-by-step explanation:

Given equation and steps to solve it are:

Step 1: –3x – 5 = 13

Step 2: –3x = 18

Step 3: x = –6

In step two, -5 has to be removed from left hand side of the equation so additional property of equality will be used i.e. adding 5 on both sides

Similarly in the third step, to remove -3 with x , division property of equality will be used i.e. dividing both sides by -3

Hence,

The right answer is:

the addition property of equality and then the division property of equality

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Answer:

x = 6

Step-by-step explanation:

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Answer:

Is this a question. If so I will change my answer

Step-by-step explanation:

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Marge correctly guessed whether a fair coin turned up "heads" or "tails" on six consecutive flips. What is the probability that
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There is a 50% chance
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