Step-by-step explanation:
The three ways by which we can find the 75% of 96 -
1 ) Simply multiply and extract 75% of 96 as follows -
= 75/100 * 96
= 72
2) We can write 75% as 3/4 of the total so if we multiply 3/4 with 96 we
will get 75% of 96
= 3/4 * 96
= 72
3) We can also get 75% of 96 by taking out the 1/4 rd of 96 and subtracting
from 96 we get 75% of 96
= 96 - (1/4 * 96)
= 96 - 24
= 72
(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.
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(b) The following functions are positive in quadrant III:
tangent, cotangent
The following functions are negative in quadrant III
cosine, sine, secant, cosecant
A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.
Step-by-step explanation:
This equation is in Standard Form. To find the x and y intercepts, it is easier to convert it to slope-intercept form, or y = mx + b.
6x - y = 10
-y = -6x + 10
y = 6x - 10
In slope-interecept form, you can see that the y-int, b, is -10, the constant. To find x, set y to zero.
0 = 6x - 10
10 = 6x
10/6 = x
5/3 = x
