Answer:
angle B=122degree
Step-by-step explanation:
straight line AC =180degree, then 180-(21+37)=122 degree
a=b*sinA/sinB=84.5
c=b*sinC/sinB=141.9
Answer:
C. 16
Step-by-step explanation:
Set up a proportion. 12 over 8 equals 24 over x. Multiply 24 and 8 then you get 192 then divide that by 12 and you get x=16.
Answer:
4 h 45 min
Step-by-step explanation:
a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have
Evaluate the integral to solve for y :
Use the other known value, f(2) = 18, to solve for k :
Then the curve C has equation
b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:
The slope of the given tangent line is 1. Solve for a :
so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).
Decide which of these points is correct:
So, the point of contact between the tangent line and C is (-1, -3).