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Mashutka [201]
2 years ago
15

A cone has a base radius of length r, and an perpendicular height length h. If the height remains the same, and the radius is mu

ltiplied by 3, then the volume is multiplied by: A. 2 B. 43 C. 9 D. 27
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
7 0

The formula for the volume of a cone is:

V= (1/3) x \pi x r^{2} x height

Since this is a quadratic equation, if the radius is multiplied by 3, then the volume is multiplied by its square, which is 9.


Hope this helps!

You might be interested in
Quadrilateral QRST is similar to quadrilateral EDGF. What's the scale factor from EDGF to QRST
mart [117]

Answer:

C. \frac{6}{5}

Step-by-step explanation:

The ratio of the corresponding sides of a polygon is said to be equal. The ratio gives us the scale factor.

Therefore, assuming that quadrilateral QRST was the original polygon that was scaled up to give a similar polygon, EDGF, the scale factor would be expressed as \frac{42}{35}

The scale factor = \frac{42}{35} = \frac{6*7}{5*7} = \frac{6}{5}

5 0
2 years ago
2.5 kg of cabbages cost £1.20<br><br> Work out the cost of 3.75 kg
s2008m [1.1K]
Thank you for your question!

In order to get the cost of 1 kg of cabbage, divide the cost by the quantity:

1.20/2.5
0.48

Now, multiply the amount for 1 kg to 3.75, because you need 3.75 times the amount.

0.48 * 3.75
1.80

So, it would cost 1.80 pounds for 3.75 kg.
Hope this helped!


8 0
2 years ago
One column of numbers consists of 61, 24, and 47. When the digits of the numbers are added together, the result is 6 + 1 + 2 + 4
ololo11 [35]
The question is incomplete because it must content a list of choices to select the right one.

Any way, a conclusion that you can make, and that is a common one for this kind of questions, is about whether the sum of the numbers of the second column may or not be the same sum of the numbers of the first column.

The condition for the two sums be the same is that when the digits of the second column are added together the result be the same obtained for the sum of the digits of the first column. In this case that is 6.

So, the possible answer is:

<span>If the end result from the second column is not 6, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.</span>
5 0
2 years ago
Read 2 more answers
Use complete sentences to describe the transformation that maps ABCD onto its image.
Lapatulllka [165]

General Idea:

When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.

Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.

In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.

P(x, y) becomes P'(x\pm h, y\pm k). We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.

Applying the concept:

The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.

Conclusion:

The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),

In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.

6 0
2 years ago
Which represents the polynomial written in standard form?
pshichka [43]

Answer:

Option A.

Step-by-step explanation:

In order to write any polynomial in standard form, we need to check the degree of each term, then write each term in order of degree, from highest to lowest, left to right.

The given polynomial is

8x^2y^2-\dfrac{3x^3y}{2}+4x^4-7xy^3

Here, the combine degree of x and y in each term is 4.

If we arrange the terms according to the degree of x, then

4x^4-\dfrac{3x^3y}{2}+8x^2y^2-7xy^3

If we arrange the terms according to the degree of y, then

-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4

Hence, the correct option is A.

3 0
2 years ago
Read 2 more answers
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