What's the area of the triangle below?

Mathematics

1 answer:

lesya692 [45]3 years ago

3 0

What is the triangle need a diagram

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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

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1 year ago

I need help with #15

gladu [14]

15. MP(5,11) S(3,5) M(x,y)

(3+x)/2 = 5 x=7

(5+y)/2 =-11 y=-27

M(7,-27) is the other point

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3 years ago

An IV bag contained 1000 ml of a solution. The solution was administered to a patient and now there is 400 ml left in a bag afte

Jet001 [13]

Answer: 100 ml each hour.

Step-by-step explanation:

1000 -400 =600 used from original amount.

Divide 600/6 = 100 ml per hour.

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3 years ago

Create at least three equations where the quadratic has a vertex of (-3,-4). Explain how you would do that, please.

Helen [10]

$vertex = \binom{ - \frac{b}{2a} }{ \frac{4ac - {b}^{2} }{4a} }$

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2 years ago

Determine how many lines of symmetry each object has. Then determine weather each object has rotational symmetry

Dafna1 [17]

Answer:

2: yes

Step-by-step explanation:

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3 years ago