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Gnoma [55]
3 years ago
14

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm.

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

38cm3

Step-by-step explanation:

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Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 m
Nikolay [14]
For future reference, it would be easier to say 8 and a half miles. Just a tip for better understanding. Now I am pretty sure the answer would be the first one. You would take the total divided by the variable of each day to get the number of days
3 0
3 years ago
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Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.
Ahat [919]

Answer:

f(x) = 1.5x - 0.5x

Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

(x-1) ((x-1) + 1) / 2

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

3 0
3 years ago
Read 2 more answers
30 points for anyone that can solve the question ​
marusya05 [52]

The solution to this problem is 5/2a^2b^5

5 0
3 years ago
I can't seem to figure this out
lesya [120]
To answer this question, you would need a protractor, which is a device that measures angle. Because this is a picture, I cannot help you. I'm sorry....

What I can tell you is that the angle is less than 90 degrees.
5 0
3 years ago
What is the product of (-4)(7) and why?
Evgesh-ka [11]

Answer:

The product of (-4)(7) is -28

Step-by-step explanation:

First you will multiply the number together.

This gets you -28.

The reason it is a negative number is because when you multiply a positive and a negative number together, you get a negative number.

Whereas, if it were two negative numbers, (-4)(-7), or two positive numbers,

(4)(7), the answer would have been positive, 28.

3 0
3 years ago
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