Cos theta = 75/115
theta = cos^-1 (75/115)
theta = 49.2 degrees
We make two sets of equations: x + y = 106 and 0.05x + 0.25y = 13.70. I will solve by substitution. Subtract "x" from both sides of x + y = 106 to convert it to slope intercept form, so y = 106 - x. Substitute y = 106 - x into 0.05x + 0.25y = 13.70, so 0.05x + 0.25(106 - x) = 13.70. Solve for 0.05x + 0.25(106 - x) = 13.70, so 26.5 - 0.2x = 13.7, then x = 64. Substitute 64 into x + y = 106, so 64 + y = 106, then y = 42. There is 64 nickels and 42 quarters.
Answer:
n-4=385. The answer is 389
The answer
to find the <span>length of line segment CD, we do the following method:
first, we must find the coordinates of vector CD
that is (xD-xC, yD-yC) =(-2-(-5), 1-(-3))=(-2+5, 1+3)=(3, 4)
next, computing the square root
CD=sqrt( 3² + 4²) = sqrt(9 +16) =sqrt(25)=5
so the value of CD=5</span>
