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noname [10]
3 years ago
7

A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill th

e funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?
A. 3
B. 4
C. 9
D. 10
Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

  D.  10

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V = πr²h

  V = π(4 in)²(13 in) = 208π in³

The volume of a cone 3 inches in radius and 7 inches high is ...

  V = (1/3)πr²h = (1/3)(3 in)²(7 in) = 21π in³

Then the ratio of the volume of the cylinder to that of the cone is ...

  (208π in³)/(21π in³) ≈ 9.905

You would need to fill the funnel about 10 times to fill the can.

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Triangle ABC has vertices at A(-5, 4), B(4, 1), and C(1, -8). Choose the terms below which correctly describe this triangle:
Anton [14]

Answer:

An ISOSCELES TRIANGLE

Step-by-step explanation:

Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.

Distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

For side |AB|:

A(-5, 4) and B(4, 1)

|AB| = √(4-(-5))²+(1-4)²

|AB| = √9²+3²

|AB| = √90

For side |BC|

B(4, 1), and C(1, -8)

|BC| =√(1-4)²+(-8-1)²

|BC| = √3²+9²

|BC| = √90

For side |AC|:

A(-5, 4) and C(1, -8).

|AC| = √(1-(-5))²+(-8-4)²

|AC| = √6²+12²

|AC| = √36+144

|AC| = √180

Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.

3 0
3 years ago
Anyone know the process? ​
kykrilka [37]
No I don’t understand hope this helps
3 0
3 years ago
What is the perimeter of a rectangle whose sides are of lengths (3z+2) units and (2z+3) units
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2(3z+2)+2(2z+3)
6z+4+4z+6
6z+4z+4+6
(10z+10) units

Hope this helps :)
6 0
3 years ago
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balu736 [363]

Answer:

-12x+1.50

Step-by-step explanation:

Through Distributing, the above solution is derived

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Answer:

2x+6

Step-by-step explanation:

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