How is the 4 in 2468 is different from the 4 in 3548

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

3 0

Because the 4 in “ 2468 “ is in the hundreds place & the 4 in “ 3548” is in the tens place.

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A cone has radius 9 and height 12. A frustum of this cone has height 4.

Rom4ik [11]

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values

12/16=9/DE

∴ DE= 16*9/12= 12

Hence the radii of the frustum is 12

3 0

2 years ago

Line A is represented by the following equation: x + y = 2

Orlov [11]

Answer:

$ax+ay=k; a\ne0, k\ne2a$ ; line D in the options.

Step-by-step explanation:

The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!

The condition $a\ne 0$ makes sure you are still getting lines (else you would get rid of both x and y); the condition $k\ne 2a$ makes sure you're not picking line A again, just written in a different form.