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3 years ago

Please help with this khan academy question

Mathematics

2 answers:

Phoenix [80]3 years ago

8 0

A = 30 hope this helped

Ksenya-84 [330]3 years ago

4 0

Answer:

<A = 30°

Step-by-step explanation:

5x - 18 = 3x + 42

2x = 60

60/2 = 30

<A = 30°

hope this helps :)

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Is a rectangle with curved angles a polygon

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A polygon must have at least 3 sides, but a curved angle isn't a side. This would result in you getting an oval. In short, it would not be a polygon. Hope this helps!

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3 years ago

If a circle has a diameter of 36cm, what is its exact area?

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Step-by-step explanation:

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2 years ago

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Find the area of the shaded region. The radius of the large circle is 10 m. Round answer to the nearest hundredth.

vivado [14]

Answer:

hello the figure related to your question is missing attached below is the missing figure

answer : 157.08 m^2

Step-by-step explanation:

Calculate the area of the shaded area

= Area of the large circle - Areas of the small circles

= (( $\frac{\pi }{4}$ ) * D^2) - 2( ( $\frac{\pi }{4}$ ) * d^2 ) given that the small circles are congruent

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3 years ago

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(x+6)(x-2)

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3 years ago

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