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4 years ago

How many vertices does a cone have?explain.

Mathematics

1 answer:

Shalnov [3]4 years ago

8 0

A cone does not have a vertex. A vertex is defined as a point where two lines meet .

I hope that's help !

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Given h(x) = x2 - 2, what is the value of h(-x) ?

insens350 [35]

u just have to flip the signs,

the answer is C

7 0

3 years ago

A highway is going to be built around a city. The highway will be in the shape of a perfect circle, and its total length will be

Molodets [167]

Answer:

The area that is surrounded by the highway on the billboard is approximately 89.34 square meters

Step-by-step explanation:

The given parameters are;

The length of the circle shaped highway = 251.2 km

The scale of the map of the bus routes along the highway = 1:7,500

The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle

Therefore, we have;

The circumference of the highway = The length of the circle shaped highway = 251.2 km

The circumference of the highway, C = 251.2 km = 2·π·r

The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km

The area of a circle, A = π·r².

The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²

Given that the scale of the map = 1:7,500. we have;

The scale of the area = (1:7,500)² = (1:56,250,000)

The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²

Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²

5 0

3 years ago

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago

Which of following is an example of a quadratic inequality?

-Dominant- [34]

Answer:

Step-by-step explanation:

Quadratic inequalities are inequalities involving quadratics.

A is not an inequality.

B is an inequality and we can rewrite B as:

$x^2+x$

So, B is a quadratic inequality, and is the answer.

C is not a quadratic. The x terms are not squared.

Likewise, D is not a quadratic either since no x terms are being squared.

4 0

3 years ago

Evaluate: 4 + 8 divided by 2 x ( 6 - 3 ) .

slega [8]

Step-by-step explanation:

4 + 8 divided by 2 * (6 - 3)

=> 12 divided by 2 * (3)

=> 12 divided by 6

=> 12/6 = 2.

4 0

3 years ago

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