In the base 6 number system, we would only use numerals
from 0 to 5. The idea of base 6 is just like the normal base 10 system, however
instead of using the numerals from 0 to 9, we use numerals from 0 to 5. And
instead of having a ones digit, a tens digit, a hundreds digit and so on, we
use a ones digit, a sixes digit, a thirty-sixes digit, and so on. Therefore in
base 6, the number 321 means 1 one plus
2 sixes plus 3 thirty-sixes, or 121. So to count until 15 for example, we would need:
Base 6
Base
10
1
1
2
2
3
3
4
4
5
5
10 (1 six plus 0
ones) 6
11 (1 six plus 1
one) 7
12 (1 six plus 2
ones) 8
13 9
14
10
15
11
20 (2 sixes plus 0
ones) 12
21 (2 sixes plus 1
one) 13
22
14
23
15
Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula, 
. Substitute the x and y values of the given points into the formula and solve:
Thus, the slope of the line is 
.
2) Next, use the point-slope formula 
to write the equation of the line in point-slope form. Substitute values for 
, 
, and 
in the formula.
Since represents the slope, substitute in its place. Since and represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:
Answer:
71°
Step-by-step explanation:
The cosine of an angle is equal to the sine of its complement:
cos(19°) = sin(90° -19°) = sin(71°)
Comparing to the given expression, we see that x = 71°.
The answer without a doubt is 69/420
Step-by-step explanation:
Atmost means less than 45:
Let us assume number is x
x<45(at most)
Atleast means more than 45:
x>45
