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3 years ago

12

A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and hei

ght as the cylinder?

1 answer:

Vesna [10]3 years ago

4 0

The volume of the cylinder is 395.64 cubic cm

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5. Which two triangles in problems 1-4 are similar? Explain.<br> Help please

Shkiper50 [21]

Answer:

Triangle 1(ABC) and Triangle 3(XYZ) are similar since all their angles are equal

In Traingle XYZ m of angle Y is 85 degree..

Hope it helps u...

4 0

3 years ago

Referring to the figure, find the value of x

mestny [16]

Answer:

x = 18

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 5x + 72 = 180

6x + 72 = 180

6x = 180 - 72

6x = 108

x = 18

8 0

3 years ago

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Answer the question below<br><br> 1 - (-4)

tensa zangetsu [6.8K]

Answer:

4

Step-by-step explanation:

7 0

3 years ago

[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

A jacket that reguraly costs $40 is on sale for $32 what percent of decrease was in the price of the jacket

Scorpion4ik [409]

Use the formula (new price-old price) / old price

32-40=-8
-8/40=-20%

the percent difference is 20%

the negative means it was a markdown

4 0

3 years ago

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