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stiks02 [169]
4 years ago
10

What is the exact volume of the cone?

Mathematics
1 answer:
Elan Coil [88]4 years ago
6 0
Volume of a cone = \pi r^{2}  \frac{h}{3}

The radius is 5ft, and the height is 16ft, therefore the answer is 418.88, which is option D***
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What conic section degenerates into a line?<br> Ellipse<br> Circle<br> Hyperbola<br> Parabola
musickatia [10]

Answer:

The answer is "parabola."

Step-by-step explanation:

Parabola- this is a symmetric open-plane curve that is formed by the intersection of a cone with a plane parallel to its side.

Degenerate Conic- this is generated when a plane intersects with the vertex of the cone.

Plane- a flat, two-dimensional surface that extends infinitely far.

Cone- a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

In Mathematics,<em> </em><em>t</em><em><u>he degenerate form of a parabola is a line or two parallel lines.</u></em> The <u><em>degenerate form of a hyperbola is two intersecting lines while a degenerate form of a circle or an ellipse is a singular point. </em></u>

Thus, the answer is parabola.

4 0
3 years ago
Solve the system of equations algebraically.
Sveta_85 [38]

Answer:

x = -7 , y = 5 thus D)

Step-by-step explanation:

Solve the following system:

{4 x - 4 y = -48 | (equation 1)

5 x - 6 y = -65 | (equation 2)

Swap equation 1 with equation 2:

{5 x - 6 y = -65 | (equation 1)

4 x - 4 y = -48 | (equation 2)

Subtract 4/5 × (equation 1) from equation 2:

{5 x - 6 y = -65 | (equation 1)

0 x+(4 y)/5 = 4 | (equation 2)

Multiply equation 2 by 5/4:

{5 x - 6 y = -65 | (equation 1)

0 x+y = 5 | (equation 2)

Add 6 × (equation 2) to equation 1:

{5 x+0 y = -35 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by 5:

{x+0 y = -7 | (equation 1)

0 x+y = 5 | (equation 2)

Collect results:

Answer:  {x = -7 , y = 5

7 0
4 years ago
Order the numbers from least to greatest.
Marianna [84]

Answer:

Step-by-step explanation:

Unfortunately, your π2 is improperly formed.  I will assume that you actually meant π² ("pi squared").

Then the three numbers are 99, 9.87, 9.8.

Smallest:  9.8

Largest"  99 (did you mean 9.9?)

Under the assumptions I have made, the numbers, in increasing order, are 9.8, 9.87, 99

4 0
3 years ago
Read 2 more answers
Write the equation of the given line in slope-intercept form.​
gizmo_the_mogwai [7]

Answer:

y = 2x - 1

Step-by-step explanation:

Slope intercept form: y=mx+b

point a: (1, 1)

point b: (2, 3)

1. Find the slope of the equation

Equation for slope(mx): (y2- y1)/ (x2-x1)

(3-1)/(2-1)= 2

slope: 2

2. Pick any of the two point to find the "b" and plug in the coordinates of the point to find the y-intercept of the equation.

point a: y=1, x=1

y=mx+b

1=2(1) + b

b= -1

3. Plug the answers you found above into the slope-intercept form

Overall equation:

y=2x - 1

7 0
4 years ago
On a coordinate plane, a line with positive slope goes through points (negative 6, negative 4) and (0, 6). A point is at (4, neg
Brums [2.3K]

Answer:

c

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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