Volume of a pyramid is 1/3 base x height or 1/3 b h ( rest are in the Comments
Answer:
12 teeth
Step-by-step explanation:
<em>The attachment of this question is missing; however, the question can be solved without the attachment</em>
Given:
Larger Gear = 6
Smaller Gear = 1
Required
Number of Smaller Gear if there are 72 larger gears
When the number of larger gear is 6, smaller gears is 1;
<em>This can be represented using the following ratio;</em>

Let x represent the number of smaller gear, when there are 72 larger gears;
<em>This can also be represented using the following ratio;</em>

Equate both ratios

Convert the ratios to fraction

Multiply both sides by x


Divide both sides by 6.



<em>This implies that there are 12 teeth on the smaller gear</em>
Answer:
4y + 48 - 16x = 0 ~Solve for y~
4y = -48 + 16x
y = -12 + 4x
The slope is 4.
We'll use the point (1, 4) and m = 4.
Plug these into the equation: y - y1 = m(x - x1)
y - 4 = 4(x - 1)
y - 4 = 4x - 4
y = 4x
Answer:
3 8/9
Step-by-step explanation:
1.) Convert each fraction from a mixed number to a improper fraction (to do that multiply the denominator with the whole number then add the numerator, the improper fraction denominator will remain the same as the mixed number denominator):
14/3 ÷ 6/5
2.) Solve
a. To divide the fractions, Flip the reciprocal, and multiply the fractions
14/3 x 5/6
b. Check if you can reduce the numbers, which you can 14 and 6 can be both divided by 2:
7/3x5/3
c. Multiply fractions (simply by multiplying across):
35/9
3.) Simplify numbers into mixed fraction (or decimal):
3 8/9
1.
has a horizontal asymptote at 
This means that

(for at least one of these limits)
2.
has a vertical asymptote at 
This means that
has a non-removable discontinuity at
. Since
is some rational function, there must be a factor of
in its denominator.
3.
has an
-intercept at (1, 0)
This means
.
(a) With

the second point above suggests
. The first point tells us that

In order for the limit to be 0, the denominator's degree should exceed the numerator's degree; the only way for this to happen is if
so that the linear terms vanish.
The third point tells us that

So

(b) Since

we find that
, and
and
.