Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41
A. 8
B. 10
C. 3,000
D. 1,440
E. 16
The equation of line that passes through the point(5,-3) and is parallel to the line 4x-5y=45 is:
Step-by-step explanation:
Given equation is:
First of all we have to convert the equation in slope-intercept form
So,
Let m1 be the slope of given line and m2 be the slope of required line
The coefficient of x is the slope of the line, so
m1 = 4/5
As the required line is parallel to given line, both will have equal slopes
m2 = 4/5
Slope-intercept form is:
Putting the value of m2
Putting the point (5,-3) in the equation
Putting the value of b
Hence,
The equation of line that passes through the point(5,-3) and is parallel to the line 4x-5y=45 is:
Keywords: Slope, equation of line
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The price would then be $12.25.