Answer:
Step-by-step explanation:
We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .
We know that the ratio of sine is perpendicular to hypontenuse .
Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,
Substitute the respective values ,
<u>Hence the required answer is 40/41.</u>
Answer:
1. 50 degrees.
2. 90 degrees
3. 50 degrees
Step-by-step explanation:
hope this helps!
Answer:
x²-2x+1
Step-by-step explanation:
(x-1) (x-1)
(x-1)²
(x)²-2(x)(1)+(1)²
x²-2x+1
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
In this case we have the following equation of the line:

Where:

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have an equation of the form:

Substitute the given point
to find "b":

Finally, the equation of the requested line is:

Answer:

Answer:
$13.00
Step-by-step explanation:
Let f represent the price per foot of pasture fence, and p represent the price per foot of picket fence. The two purchases can be written in equation form as ...
2000f + 450p = 12850
700f +300p = 6350
Using Cramer's rule, we can find the value of the picket fence as ...
p = (12850·700 -6350·2000)/(450·700 -300·2000) = -3705000/-285000
p = 13
The cost per foot of picket fence is $13.00.
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<em>Cramer's Rule and Vedic math</em>
The above equation for p is a summary of the math you would be doing if you were to solve the equations by eliminating f. Cramer formulates it in terms of determinants of the coefficients in the equations. Practitioners of Vedic math formulate it in terms of X-pattern combinations of the coefficients in much the same way as finding a determinant. For the equations ...
The solutions are ...
∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆ . . . . . this is the equation we used above
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If you do a rigorous comparison of this formula with that of Cramer's rule, you find the signs of numerator and denominator are reversed. That has no net effect on the solution, but it makes the X pattern of products easier to remember for practitioners of Vedic math.