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ValentinkaMS [17]
3 years ago
14

Describe two different cross section shapes that can be formed by slicing a cone.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Two possible shapes are ...

1. point - slicing the cone at its apex, perpendicular to the axis of symmetry (degenerate circle)

2. 2 intersecting lines - slicing the cone on its axis of symmetry (degenerate hyperbola)

_____

More conventional cross sections include a circle (⊥ to axis), ellipse (between ⊥ to axis and parallel to side), parabola (parallel to side), hyperbola (oblique to side up to and including parallel to axis), line (tangent to side).

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A carpenter purchased 50 ft of redwood and 80 ft of pine for a total cost of $285. A second purchase, at the same prices, includ
Marizza181 [45]

Hey there!!

Let us take the price of the redwood as ' x ' and pine as ' y '

Then , we take it into an equation. We get,

50x + 80y = 285 -------------- ( 1 )

80x + 50y = 339 -------------- ( 2 )

Now, multiply the first equation with 8 and the second equation with 5

400x + 640y = 2280

400x + 250y = 1695

Now subtract the second equation from the first

390y = 585

y = 585 / 390

y = $1.5

Now substitute this into any equation

50x + ( 80 ) ( 1.5 ) = 285

50x + 120 = 285

50x = 165

x = 165 / 50

x = $3.3

Redwood = $3.3

Pine = $1.5

Hope helps!



6 0
3 years ago
Which procedure can be used to solve the equation 540=12z, and what is the solution?
anzhelika [568]
To solve 540 = 12z you have to use inverse operation by dividing both sides by 12 to get 45 = z 
4 0
4 years ago
Read 2 more answers
Given the diagram below, Hannah writes m1 + m4 = 180degrees,
slamgirl [31]
Huh... In school, I was taught that those angles are Supplementary... But the answer is B.
8 0
4 years ago
Read 2 more answers
What is <br> (7x3)-2(5+1)+4
pishuonlain [190]

Answer:

13

Step-by-step explanation:

(7x3)-2(5+1)+4=13

5 0
3 years ago
2. In how many ways can you form 3-letter "words" from the letters of "Adelphi" so that the first and last letters are vowels? N
kondaur [170]

Answer:

The total number of ways are 30.

Step-by-step explanation:

Consider the provided information.

We need to write 3-letter "words" from the letters of "Adelphi" so that the first and last letters are vowels.

The number of letters in "Adelphi" = 7

The number of vowels are = 3

It is given that the first and last letters are vowels.

For first letter we have 3 choices, and for the last letter we have 2 choices as repetition is not allowed.

If we have selected first and last letter that means now we have 5 letters for the middle letter. (7-2=5)

So the number of possible choices for the 2nd letter is 5.

Hence, the total number of ways are: 3×5×2 = 30 ways

8 0
4 years ago
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